well, we know the points are all colinear, so the slope from the 1st to the 2nd, will be the same as from the 2nd to the 3rd, same exact slope, hell let's check what's up
[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{8}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{8}-\stackrel{y1}{5}}}{\underset{\textit{\large run}} {\underset{x_2}{3}-\underset{x_1}{2}}} \implies \cfrac{ 3 }{ 1 } \implies 3[/tex]
ahaaa! that means that the slope of (3 , 8) and (-1 , y) is 3, hmmmm
[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{8})\qquad (\stackrel{x_2}{-1}~,~\stackrel{y_2}{y}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{\textit{\large rise}} {\stackrel{y_2}{y}-\stackrel{y1}{8}}}{\underset{\textit{\large run}} {\underset{x_2}{-1}-\underset{x_1}{3}}} ~~ = ~~\stackrel{\stackrel{\textit{\small slope}}{\downarrow }}{ 3 }\implies \cfrac{y-8}{-4}=3 \\\\\\ y-8=-12\implies \boxed{y=-4}[/tex]
An electrician charges an initial service fee plus an hourly rate for all jobs. The electrician's charges are S 130 for a one-hour job and $210 for a two-hour job. Write an equation in slope-intercept form to show the total cost, y, for a job that takes x hours.
The interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.
What is Slope of a Function?The slope of any function is the unit rate or average rate of change of the given function for that situation.
here, we have,
Given the function, E(x) = 130 + 28x, where:
E(x) is the amount an electrician charges per job
130 is the flat rate service which is the starting value or y-intercept
28 is the unit rate or slope, which is the fee charged per hour by the electrician to complete a job.
Thus, the interpretation of the slope in the context of the problem is: For every hour the electrician works, her pay will increase $28.
Learn more about slope on:
brainly.com/question/24502219
#SPJ1
a cylinder is sliced such that the cross section is parallel to its bases. what is the shape of the cross section?a. circle
b. rectangle
c. trapezoid
d.triangle
A circle cannot be the shape of the cross section because a circle has a shape that is parallel to its bases (not perpendicular). Moreover, it cannot be a triangle or a trapezoid. Rectangle (B) is the correct response.
The internal angles of a rectangle, which has four sides, are all exactly 90 degrees. At each corner or vertex, the two sides come together at a straight angle. The rectangle differs from a square because its two opposite sides are of equal length.
A quadrilateral with parallel sides that are equal to one another and four equal vertices is known as a rectangle. As a result, it is also known as a parallelogram or an equiangular quadrilateral.
Visit here to learn more about the rectangle: https://brainly.com/question/29123947
#SPJ4
4(x + 3) ≤ 0 or x+1/4>3
Answer:
4x+12 ≤ 0 or 4x+1>3
4x ≤ -12 or 4x+1 > 3
x ≤-3 or x >1/2
Could use some help
The quadrilateral FGHI is a parallelogram
How to complete the blanksFrom the question, we have the following parameters that can be used in our computation:
F = (0, -6), G = (7, -4), H = (8, 4), I = (1, 2)
The lengths can be calculated as
Lengths = √[(x₂ - x₁)² + (y₂ - y₁)²]
Using the above as a guide, we have the following:
FG = √[(0 - 7)² + (-6 + 4)²] = √53
GH = √[(8 - 7)² + (4 + 4)²] = √65
HI = √[(8 - 1)² + (4 - 2)²] = √53
IF = √[(1 - 0)² + (2 + 6)²] = √65
For the slopes, we have
Slope = (y₂ - y₁)/(x₂ - x₁)
So, we have
FG = (-6 + 4)/(0 - 7) = 2/7
GH = (4 + 4)/(8 - 7) = 8
HI = (4 - 2)/(8 - 1) = 2/7
IF = (2 + 6)/(1 - 0) = 8
Based on the above computations, we have
Opposite sides are equalOpposite sides are parallelHence, the shape is a parallelogram
Read more about parallelogram
https://brainly.com/question/10744696
#SPJ1
the graph to write a linear function that relates y to $x.
Four points are plotted on a coordinate plane. The horizontal axis is labeled “x” and ranges from negative 8 to 8. The vertical axis is labeled “y” and ranges from negative 8 to 8. The points are plotted at ordered pair negative 2 commas 6, ordered pair negative 1 comma 2, ordered pair 0 commas negative 2, and ordered pair 1 comma negative 6.
y=
The equation of linear function which relate y to x is,
⇒ y = - 4x - 2
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
Two points on the line are (- 2, 6) and (- 1, 2).
Now,
Since, The equation of line passes through the points (- 2, 6) and (- 1, 2).
So, We need to find the slope of the line.
Hence, Slope of the line is,
m = (y₂ - y₁) / (x₂ - x₁)
m = (2 - 6) / (- 1 - (-2))
m = - 4 / 1
m = - 4
Thus, The equation of line with slope - 4 is,
⇒ y - 6 = - 4 (x - (-2))
⇒ y - 6 = - 4 (x + 2)
⇒ y = - 4x - 8 + 6
⇒ y = - 4x - 2
Therefore, The equation of linear function which relate y to x is,
⇒ y = - 4x - 2
Learn more about the equation of line visit:
https://brainly.com/question/18831322
#SPJ1
A track runner ran for 15 minutes, walked for 15 minutes, ran for another 20 minutes, and then stretched in place for 10 minutes.
Which graph describes the relationship between runner's total distance and time?
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 2.4, and a horizontal line segment from 0.8 comma 2.4 to 1 comma 2.4
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a horizontal line segment from 0.8 comma 2.95 to 1 comma 2.95
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a horizontal line segment from 0.25 comma 1.25 to 0.5 comma 1.25, a line segment from 0.5 comma 1.25 to 0.8 comma 0.1, and a horizontal line segment from 0.8 comma 0.1 to 1 comma 0.1
graph with the x axis labeled time in hours and the y axis labeled total distance in miles, with a line segment from 0 comma 0 to 0.25 comma 1.25, a line segment from 0.25 comma 1.25 to 0.5 comma 1.75, a line segment from 0.5 comma 1.75 to 0.8 comma 2.95, and a line segment from 0.8 comma 2.95 to 1 comma 3.15
find the range of the following function when the domain is -2 and 2
The range for the function y = x + 5, when the domain is {-2, 2}, is {7, 3}.
How to determine the range of the relationFrom the question, we have the following parameters that can be used in our computation:
y = x + 5
Domain {-2, 2}
Substitute the known values in the above equation, so, we have the following representation
When x = 2, y = 2 + 5 = 7
When x = -2, y = -2 + 5 = 3
Hence, the range for the relation y = x + 5 is {7, 3}.
Read more about domain at
brainly.com/question/27910766
#SPJ1
Complete question
find the range of the following function when the domain is -2 and 2
y = x + 5
(8.8 x 109) + (2.2 × 10³)
Answer: 3159.2
Step-by-step explanation:
8.8 times 109= 959.2
2.2 times 10 cubed= 2200
2200+959.2= 3159.2
Answer:
3159.2
Step-by-step explanation:
You have to do it step by step. You have to do the first parentheses, then the next, then add it together. Here's how you would do it:
[tex](8.8 * 109)+(2.2 * 10^{3}[/tex]You have to figure out the end result of the square root, then figure out the parentheses.
[tex]959.2 + 2200[/tex]This is the end result of all the parentheses. All you have to do now is add the two numbers to get the end number.
[tex]3159.2[/tex]This is the final result of the equation.
Shawna finds a study of American women that had an equation to predict weight (in pounds) from height (in inches): ŷ = -260 + 6.6x. Shawna’s height was 64 inches and her weight was 150 pounds. What is the value of the residual for Shawna's weight and height? 730 pounds 12.4 pounds 162.4 pounds -12.4 pounds
The value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.
What is equation and its solution?A linear equation is one that has the form Ax+By=C. This definition comes from mathematics. It consists of two variables combined with a constant value that exists in each of them.
The collection of all values that, when substituted for unknowns, cause an equation to hold true is known as the solution. Two fundamental algebraic rules using the additive property and the multiplicative property are utilised to determine the solutions for equations needing a single unknown raised to a power of one.
The equation given to predict the weight from height is:
ŷ = -260 + 6.6x
Given that, Shawna’s height was 64 inches.
Substituting the value in x we have:
ŷ = -260 + 6.6x
ŷ = -260 + 6.6(64)
ŷ = 162.4
The actual weight is given as 150 pounds.
The residual value of the weight from the predicted formula is:
r = 162.4 - 150
r = 12.4
Hence, the value of the residual for Shawna's weight and height is 12.4 and option 2 is the correct answer.
Learn more about solution of equation here:
https://brainly.com/question/14603452
#SPJ1
Answer:
-12.4
Step-by-step explanation:
Hi again I need more help asap! Please and thank you if you answer these and you will get 20 points!! So what is the answer to these question’s? Solve the equation.
2.25(a+1.3)=20.7
What is the value of a?
Enter your answer as a decimal, like this: 42.53 And the second on is this one. Sophie is buying 3
outfits (shirt and shorts) to wear to volleyball practice. The shirts are $10
each, and her total is $64.50.
How much did each pair of shorts cost?
Enter your answer as a decimal, like this: 42.53
Thank you again if you answer this question and you will be rewarded 20 points!
a) The value of a from the equation is a = 7.9
b) The cost of each pair of shorts is given by y = $ 11.50
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the equation be represented as A
Now , the value of A is
Substituting the values in the equation , we get
2.25 ( a + 1.3 ) = 20.7
Divide by 2.25 on both sides , we get
a + 1.3 = 9.2
Subtracting 1.3 on both sides , we get
a = 7.9
b)
The cost of each pair of shorts be y
The cost of shirt be x = $ 10
The number of outfits = 3
The total cost of outfits = $ 64.50
So , the equation will be
3 ( x + y ) = 64.50
On simplifying the equation , we get
3 ( 10 + y ) = 64.50
Divide by 3 on both sides , we get
10 + y = 21.50
Subtracting 10 on both sides , we get
y = $ 11.50
Hence , the cost of each shorts is $ 11.50
To learn more about equations click :
https://brainly.com/question/19297665
#SPJ1
In 2023 the college tuition at a state university was $8,000. Each year the tuition
rises by 3%. In what year will the tuition reach $10,000?
By using the concept of interest, we can calculate the year in which the tuition will reach $10,000 as 2027
Interest is the extra money you pay for borrowing money or for an investment, and it accumulates over time.
In this case, the interest rate is 3%, so the total tuition increases by 3% each year. To calculate the year in which tuition will reach $10,000, we will need to use the following formula:
Interest = (principal × rate × time) / 100.
The principal is $8,000, the rate is 3%, and the time is the number of years it takes for the tuition to reach $10,000. Thus, the equation becomes:
Interest = (8000 × 0.03 × time) / 100.
We can solve for time by multiplying both sides of the equation by 100 and dividing by 240. This gives us the following result:
Time = ($10,000 - $8,000) / (0.03 × $8,000) = 4.17 years.
Therefore, the tuition will reach $10,000 in
(2023 + 4.17) = 2027
To know more about interest here.
https://brainly.com/question/22621039
#SPJ4
Conan fills 5 tubes. 2 tennis balls are left. How many tubes does Conan need to put away all the tennis balls?
Conan needs 16 tubes to store all 17 tennis balls because each tube can carry three balls.
what is unitary method ?The unit technique is a way of challenge where you first assess the value of a specific unit, than multiply that value to get the answer. Simply defined, a minimum unit value is extracted from a specified multitude using the unit method. For contrast, 40 pens will set you back 400 rupees, or $1.01. a solitary nation. anything has a distinctive component. (Mathematics, Algebra) Its adjoint and reciprocal remain equivalent. (Hyper Algebra, Statistical Analysis, Mathematics of Matrix or Players)
given
conan fills 5 tubes with 3 balls each
2 tennis balls are left
Conan needs 16 tubes to store all 17 tennis balls because each tube can carry three balls.
To know more about unitary method visit:
https://brainly.com/question/28276953
#SPJ1
what is the mean value of the following scores: 12, 25, 15, 27, 32, 8?
The mean value of the scores is 19.83, based on their sum and quantity of numbers.
The mean or average is calculated using the formula -
Mean = sum of all the numbers ÷ quantity of numbers.
We see that there are six numbers and hence the quantity of numbers will be 6.
Sum of all the numbers = 12 + 25 + 15 + 27 + 32 + 8
Performing addition on Right Hand Side of the equation
Sum of all the numbers = 119
Now calculating the mean of the scores by keeping the values in formula -
Mean = 119/6
Performing division on Right Hand Side of the equation
Mean of scores = 19.83
Hence, the average of scores is 19.83.
Learn more about mean -
https://brainly.com/question/1136789
#SPJ4
What is the conversion of 27cm to inch ?
The conversion of 27cm to inch is 10.63 inches.
A centimeter is a metric unit of measurement equal to one-hundredth of a meter. It is commonly used in many countries for measuring small distances, such as the length of an object or the height of a person. One centimeter is equal to 0.3937 inches.
To convert 27 centimeters to inches, we can use the following formula:
1 inch = 2.54 centimeters
Therefore, to convert 27 centimeters to inches, we can divide 27 by 2.54:
27 cm ÷ 2.54 = 10.63 inches (rounded to two decimal places)
So, 27 centimeters is approximately equal to 10.63 inches.
To learn more about inches here:
https://brainly.com/question/16311877
#SPJ4
How far away is 1 km?
To convert 1km into other measurements: 1) 1000 meter, 2) 3280.84, 3) 1e+6 millimeter, 4) 100000 centimeter, 5) 39370.1 inch, 6) 1093.61 yard1 km, 7) 0.621371 mile.
It is necessary to measure these quantities using units of measurement. Sometimes the units of measurement chosen don't match the standards needed for a specific procedure or application, as well as the measurement preference and ease of use.
It's essential to convert these units in a way that enables proper comprehension and use. When converting between different units in the metric system, a decimal point must typically be moved. If you remember what the prefixes mean, you can convert between different units of measurement within the metric system fairly quickly by simply multiplying or dividing the number by the prefix's value.
To learn more about kilometer: https://brainly.com/question/22247604
#SPJ4
The average height of every fifth member of the varsity football team was 5'11
I need help for this is for tomorrow
What is a factor tree for 31?
Factor trees are a means to represent a number's factors, more precisely, a number's prime factorization. The tree's branches are divided up into components. When the branch's final factor is a prime number, the branch comes to an end and we circle the number because there are now only two factors left: itself and one.
The only factors of 31 are 1 and 31 itself.
To create a factor tree for 31, we will first identify two factors of 31 that are as close to each other as possible.
However, 31 is a prime number, and it only has two factors: 1 and 31.
Since 31 is a prime number and has no other factors, the factor tree for 31 will simply be:
31
/ \
31 1
So the only factors of 31 are 1 and 31 itself.
For more questions on Factor trees
brainly.com/question/29705253
#SPJ4
how to convert 151 cm in feet?
On converting the length , 151 centimeter is equivalent to 4.954 feet .
The Units of measuring the length are used to measure the distance between two points of an object. There are several units of measuring length , which are : meter , centimeter , kilometer , feet .
We have to convert 151 cm to feet,
So , we use the conversion factor of 0.03281 feet per centimeter , which means that there are approximately 0.03281 feet in 1 centimeter.
So , to convert 151 cm to feet, we multiply the number of centimeters by this conversion factor ;
Using this method, we get ;
⇒ 151 cm × 0.03281 feet/cm = 4.954 feet ;
Therefore, 151 cm is equal to approximately 4.954 feet.
Learn more about Length here
https://brainly.com/question/16814684
#SPJ4
3. Write an equation in which the quadratic expression 2x^2-2x-12 equals 0. Show the expression in factored form and explain what your solutions mean for the equation. Show your work.
Answer:
x = -2
x = 3
The two x's resemble to roots of the parabola.
Step-by-step explanation:
In the following, I uploaded an image with the steps to the equation.
how to convert 1inch to cm?
One inches is equal to 2.54 cm
To convert 1 inches to cm, we can use the following formula:
1 inch = 2.54 cm
The conversion factor is 2.54
The conversion is the process of changing the unit of one quantity to another units
The conversion factor is defined as the number that is used to change one unit to another units by multiplying or dividing
Therefore,
The length in cm = conversion factor × The length in inches
Substitute the values in the equation
1 inches = 1 × 2.54 cm
Multiply the numbers
= 2.54 ( rounded to two decimal places )
Therefore, one inch is 2.54 cm
Learn more about conversion factor here
brainly.com/question/5056146
#SPJ4
two angles that add up to 90 degrees are called ________ angles.
Answer: Right/complementary angles
Step-by-step explanation:
Two angles that add up to 90 degrees are called complementary angles.
Complementary angles are a pair of angles that, when added together, equal a right angle, which measures 90 degrees.
In other words, the sum of the measures of complementary angles is always 90 degrees.
Complementary angles often arise in geometry and trigonometry, and understanding their properties is important when working with angles and solving problems involving right triangles.
To learn more on Angles click:
https://brainly.com/question/28451077
#SPJ6
The lunch choices last Friday were mushroom or pepperoni pizza. The cafeteria made 20
pizzas in all, 30% of which were mushroom pizzas. How many mushroom pizzas did the
cafeteria make?
mushroom pizzas
ABCD is a rhombus with m 25 = 3x+33 and m/2 = 4x-44, find x. Round to the nearest tenth
ABCD is rhombus with m 25 = 3x+33 and m/2 = 4x-44, the value of the x is 14.4.
In a rhombus, opposite angles are equal, and the measure of an angle is half the measure of its intercepted arc. Therefore, we have:
m ∠B = m ∠D = 2(m ∠A) = 2(m ∠C)
Also, the sum of the measures of the angles in a quadrilateral is 360 degrees, so we have:
m ∠A + m ∠B + m ∠C + m ∠D = 360
Since ABCD is a rhombus, its diagonals bisect each other at right angles. Therefore, we have:
m ∠BAC + m ∠CBD = 90
Substituting the given angle measures, we get:
2(4x-44) + 2(3x+33) = 360 (using the fact that m/2 = 2m∠A)
8x - 88 + 6x + 66 = 180
14x - 22 = 180
14x = 202
x ≈ 14.4 (rounded to the nearest tenth)
Therefore, x ≈ 14.4.
To learn more about rhombus click here
brainly.com/question/12665650
#SPJ4
How does Gauss-Jordan Elimination work?
Gauss-Jordan elimination is a method used to solve a system of linear equations by reducing the augmented matrix of the system to a reduced row-echelon form through a series of elementary row operations.
The process involves manipulating the rows of the augmented matrix to obtain a triangular matrix, where all entries below the diagonal are zero. This is achieved by applying elementary row operations such as adding a multiple of one row to another row or multiplying a row by a scalar.
Once the augmented matrix is in triangular form, further elementary row operations are used to eliminate the nonzero entries above the diagonal. This results in the augmented matrix being in reduced row-echelon form, where the pivot elements are all equal to 1 and the columns corresponding to the pivot elements are linearly independent.
Learn more about Gauss-Jordan Elimination:
https://brainly.com/question/21088742
#SPJ4
How many litres of pure (100%) acid must be added to 4 L of a solution that is 88% acid by volume in order to obtain a 92% solution?
A volume of 2 liters is needed to obtain a 92 % solution.
How to use weighted averages to determine the quantity of pure acid needed for the preparation of a solution
In this problem we need to determine the volume of pure acid to be added with a volume of four liters of 88 % acid solution to get a 92 % solution. This can be done by definition of weighted average:
(88 / 100) · (4 L) + (100 / 100) · V = (92 / 100) · (4 L + V)
Where V is the volume needed of the pure acid, in liters.
3.52 L + V = 3.68 L + 0.92 · V
0.08 · V = 0.16 L
V = 2 L
To learn more on weighted average: https://brainly.com/question/28419561
#SPJ1
What is the area of the trapezoid?
A trapezoid with 24 centimeters length and 10 centimeters height. One side of the trapezoid is 8 centimeters in length. CLEAR CHECK
120
120
cm2
2
128
128
cm2
2
160
160
cm2
2
240
240
cm2
The area of the trapezoid given is 160 cm².
What is the area of a trapezoid?We can write the area of the trapezoid as -
A = {1/2} x {sum of parallel sides} x {distance between them}
A = {1/2} x {P₁ + P₂} x {h}
Given is that a trapezoid with 24 cm length and 10 cm height. One side of the trapezoid is 8 cm.
We can write the area of the trapezoid as -
A = {1/2} x {P₁ + P₂} x {h}
A = {1/2} x {24 + 8} x 10
A = 1/2 x 10 x 32
A = 160 cm²
Therefore, the area of the trapezoid given is 160 cm².
To solve more questions on trapezoids, visit the link below -
https://brainly.com/question/21025771
#SPJ1
Which statement is true about the graphs shown? Responses A Only graph B represents a proportional relationship.Only graph B represents a proportional relationship. B Graph A and graph B both represent a proportional relationship.Graph A and graph B both represent a proportional relationship. C Graph A and graph B both represent a non-proportional relationship.Graph A and graph B both represent a non-proportional relationship. D Only graph A represents a proportional relationship
Only graph B represents a proportional relationship.
What is a graph ?
A graph is a visual representation of data that shows the relationship between two or more variables. It is a way of presenting information in a clear and concise manner that makes it easy to interpret and understand.
Graphs can be used to show trends over time, compare different groups or categories, or illustrate the relationship between two or more variables.
Graph A shows a non-proportional relationship because as x increases, the corresponding y values do not increase or decrease at a constant rate.
Graph B shows a proportional relationship because as x increases, the corresponding y values increase at a constant rate.
Therefore, The slope of graph B is constant and represents the constant of proportionality between x and y.
To learn more about Graph from given link.
https://brainly.com/question/17267403
#SPJ1
The dot plot below shows 6 data points with a mean of 16. A dot plot going from 11 to 20. 1 dot is above 12, 13, 15, 17, 19, 20. What is the absolute deviation at 19? 3 4 7 8
At 19, the absolute deviation is 3.
We use absolute deviation because...Variation in a data set is described by mean absolute deviation. We may determine how "spread out" a data set's values are by looking at the mean absolute deviation.
The deviation (variation) around the mean score is indicated by the absolute and mean absolute deviations.
We may ignore the minus sign and take only the absolute value, giving us the absolute deviation, because we are only interested in the deviations of the scores and not if they are above or below the mean score.
Find the absolute deviation at 19 is the task given to us.
the average reported is 16.
The divergence is therefore 19-16=3.
To know more about Absolute deviation visit:
https://brainly.com/question/3765278
#SPJ1
A tank that currently contains 2500 gallons of oil is being emptied at a rate of 25 gallons per minute. The capacity of this tank is 3000 gallons. Let c be the capacity of the tank, and t be the time. Write an equation that relates the two quantities.
Answer:
The rate at which the tank is being emptied is 25 gallons per minute, which means that the change in the amount of oil in the tank per minute is -25. Let's assume that the initial amount of oil in the tank is 2500 gallons and the capacity of the tank is 3000 gallons.
The equation that relates the amount of oil in the tank, V, and time, t, is given by:
V = 2500 - 25t
This equation represents a linear relationship between the amount of oil in the tank and time. As time increases, the amount of oil in the tank decreases linearly at a rate of 25 gallons per minute.
The capacity of the tank, c, is 3000 gallons, which means that the tank will be completely emptied after:
t = (3000 - 2500) / 25 = 20 minutes
After 20 minutes, the amount of oil in the tank will be:
V = 2500 - 25(20) = 2000 gallons
Are the triangles similar?
Yes or no?
How do you know?
Answer:
no
Step-by-step explanation: