On graph paper, plot and . 7-74 HW eTool (Desmos). Homework Help ✎
If is the midpoint of is the midpoint of , and is the midpoint of , what are the coordinates of ?
What fraction of the distance from to is ? How do you know?
Use the ratio from part (b) to determine the coordinates of point .
7-75.
Answers
Therefore , the solution of the given problem of coordinate comes out to be the coordinates of point H are (3, 0).
How are coordinates used?Using one or more values or coordinates, a coordinate system is a geometry approach used to better able to monitor points or any other topological items on a spectrum, such as Euclidean space. The coordinates of a point or object on a double plane are a pair of integers. A point's placement on a 2D plane is specified by two integers called the x and y coordinates. a set of integers indicating precise locations. The figure typically includes two numbers.
Here,
Since the midpoint of a line segment is the average of its endpoints, we can use this fact to find the coordinates of point P:
The x-coordinate of P is the average of the x-coordinates of A and B: (2 + 6)/2 = 4.
The y-coordinate of P is the average of the y-coordinates of A and B: (-1 + 3)/2 = 1.
Therefore, the coordinates of point P are (4, 1).
To find what fraction of the distance from A to P is AP, we can use the distance formula:
AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5
And the distance from A to P is:
AP = √[(4 - 2)² + (1 - (-1))²] = √20 = 2√5
So the fraction of the distance from A to P that is AP is:
AP/AH = (2√5)/[2√(5² + 2²)] = √5/3
To find the coordinates of point H, we can use the fact that the x-coordinate of H is the average of the x-coordinates of A and P, and the y-coordinate of H is the average of the y-coordinates of A and P:
The x-coordinate of H is (2 + 4)/2 = 3.
The y-coordinate of H is (-1 + 1)/2 = 0.
Therefore, the coordinates of point H are (3, 0).
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Related Questions
What is the x-intercept of a line
Answers
Answer:
The x-intercept is the point where a line crosses the x-axis
Step-by-step explanation:
Is the exact time it takes to evaluate 27 + 72 a discrete random variable, a continuous random variable, or not a random variable?
Answers
The time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.
According to given condition:The exact time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any element of chance or uncertainty. The result of the addition is always the same and can be calculated precisely in a finite amount of time.
Random variables, on the other hand, are variables that can take on different values with certain probabilities, and are used to model phenomena that involve uncertainty or randomness. Discrete random variables take on a countable set of values, while continuous random variables take on an uncountably infinite range of values.
In summary, the time it takes to evaluate 27 + 72 is not a random variable, because it is a deterministic quantity that does not involve any uncertainty or probability.
What is variable ?
In mathematics, a variable is a symbol or letter that represents a value or quantity that can change or vary. Variables are used to express relationships between different quantities and to solve equations.
For example, in the equation y = 2x + 3, x and y are variables. The value of y depends on the value of x, which can vary. We can solve for the value of y for different values of x, and the solution will be a set of ordered pairs (x, y) that form a straight line when plotted on a graph.
Variables can be used to represent a wide range of quantities, including numbers, vectors, functions, and more. They are an essential tool in many branches of mathematics, including algebra, calculus, and statistics.
In addition to mathematics, variables are also used in many other fields, including science, engineering, and computer programming, to represent quantities that can change or be controlled. In these fields, variables are often used to model complex systems or to simulate experiments, and are a fundamental concept in data analysis and computational thinking.
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1. A school orders 120 calculators.
The school receives a shipment containing 80%
of the order,
and 1 out of every 3 of these calculators is black.
How many black calculators has the school received
in this shipment?
a.32
b.40
c.50
d.96
Answers
Answer:
A. 32
Step-by-step explanation:
80% of 120 is 96
So 96 divided by 3 is 32, so 32 x 3 = 96
Which means 32/96 also equals 1/3
Because the school received 80% of the 120 so that then equals to 96 then I divided by 3 and got 32 so that’s why I believe that’s the right answer.
The vertical height in feet of a projectile on a planet in our solar system at a given time t in seconds is represented by the function h(t) = -42t^2 +252t. Re-write h(t) in the form h (t) = a(t- h)^2 + k and determine the maximum height of the projectile. Show all work.
Answers
The vertex form of the quadratic equation is:
h(t) = -42*(x - 3)² + 378
And the maximum height is 378 ft.
How to determine the maximum height of the projectile?We know that the height of the projectile is defined by the quadratic equation:
h(t) = -42t² + 252t
Remember that for any quadratic equation:
y = a*x² + b*x + c
The vertex is at:
x = -b/2a
So in this case, the vertex is at:
t = -252/(2*-42)
t = 3
So the maximum height of the projectile is:
h(3) = -42*3² + 252*3 = 378
And thus, the vertex is (3, 378), then the vertex form is:
h(t) = -42*(x - 3)² + 378
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Factoriser A(x)=(x+2)^2
Answers
Answer:
Below
Step-by-step explanation:
(x+2)^2 is just (x+2)(x+2) factored
The price of chicken breast rises from $3.00 to $3.60 per pound. In response to the price change, the demand for chicken breast falls by 25%. The absolute value of the price elasticity of demand for chicken breast is _____, and the price elasticity of demand is _____.a. 0.8; inelasticb. 1.25; inelasticc. 0.8; elasticd. 1.25; elastic
Answers
Answer: We can use the formula for the price elasticity of demand to solve this problem:
Price elasticity of demand = percent change in quantity demanded / percent change in price
We are given that the price of chicken breast rises from $3.00 to $3.60 per pound, which is a 20% increase:
percent change in price = (3.60 - 3.00) / 3.00 = 0.20 = 20%
We are also given that the demand for chicken breast falls by 25%, which is a 25% decrease:
percent change in quantity demanded = -25%
Using these values in the formula, we get:
Price elasticity of demand = (-25%) / (20%) = -1.25
Since we are interested in the absolute value of the price elasticity of demand, we have:
|Price elasticity of demand| = |-1.25| = 1.25
A price elasticity of demand greater than 1 is considered elastic, and a price elasticity of demand less than 1 is considered inelastic. Therefore, the answer is (d) 1.25; elastic.
Step-by-step explanation:
Juan baked 250 cookies in 2 hours, How many cookies can he make in 1 minute?
Answers
If Juan baked 250 cookies in 2 hours, then he can make approximately 2.08 cookies in one minute.
The unitary method involves finding the value of one unit and then using that to find the value of any number of units.
In this problem, the unit we are interested in is cookies per minute. We need to find out how many cookies Juan can make in one minute, given that he can make 250 cookies in 2 hours.
To find out how many cookies Juan can make in one hour, we can use the unitary method as follows:
1 hour = 60 minutes (since there are 60 minutes in one hour)
So, if Juan can make 250 cookies in 2 hours, he can make:
250 cookies / 2 hours = 125 cookies per hour
Using the unitary method again, we can find out number of cookies Juan can make in one minute:
1 hour = 60 minutes
So, Juan can make:
125 cookies / 60 minutes = 2.08 cookies per minute
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A bag has 13 red, 13 blue, and
13 yellow marbles, what is the
probability of drawing 2 marbles of the same color in a row
Answers
Kendrick is frantic. He remembers that several years ago he buried his Amazing Electron Ring in his little sister’s sandbox, but he cannot remember where. A few minutes ago he heard that someone is willing to pay 1000 for it. He has his shovel and is ready to dig
Answers
a. Probability of finding the ring is 0.2 or 20%.
b. Probability of not finding the ring is 0.8 or 80%.
c. Digging in the shaded square region at the right does not improve Kendrick's chances of finding the ring because the probability of finding the ring per unit area is the same in all the regions.
What is the probability of finding the ring in the 2-foot square region?The probability of finding the ring in the 2-foot square shaded region can be calculated below as follows:
Probability = (area of shaded region) / (area of entire sandbox)
area of the shaded region = 2 * 2
area of the shaded region = 4
area of the entire sandbox = 5 * 4
area of the entire sandbox = 20
Probability = 4 / 20
Probability = 0.2 or 20%.
b. The probability of not finding the ring:
Probability of not finding the ring = 1 - Probability of finding the ring
Probability of not finding the ring = 1 - 0.2
Probability of not finding the ring = 0.8 or 80%.
c. Digging in the larger square region does not improve Kendrick's chances of finding the ring because the probability of finding the ring depends only on the ratio of the area of the shaded region to the area of the entire sandbox.
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A dessert has both fruit and yoghurt inside. Altogether, the mass of the dessert is 165g. The ratio of the mass of fruit to the mass of yoghurt is 2 : 3 what is the mass of the yoghurt?
Answers
The mass of the yogurt is 99 grams.
What is the ratio?A ratio is a numerical relationship showing how often one value includes or is included inside another. It is used to compare two numbers.
Given:
A dessert contains yogurt and fruit inside.
The total mass of the dessert = 165 grams.
And the ratio of the mass of fruit to the mass of yogurt is 2 : 3.
Let the mass of the fruit is 2x and the mass of the yogurt is 3x.
So, 2x + 3x = 165
5x = 165
x = 165/5
x = 33
The mass of the yogurt is 33(3) = 99 grams.
Therefore, the required mass is 99 grams.
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how to calcuate bankrate retirement online?
Answers
The steps to calculate the retirement bank rate are
1) Calculate your current retirement savings
2) Estimate your future retirement savings
3) Calculate your retirement savings rate
4) Adjust your savings rate as needed
Calculating your retirement savings rate can be a helpful way to ensure you're saving enough money to support your retirement. Here are the steps to calculate your bank rate retirement online:
Calculate your current retirement savings: You'll need to calculate the total amount of money you've saved for retirement so far,
Estimate your future retirement savings: You can use an online retirement calculator to estimate the amount of money you'll have saved by the time you retire based on your current savings rate,
Calculate your retirement savings rate: To calculate your retirement savings rate, divide your total retirement savings by your retirement savings goal.
Adjust your savings rate as needed: If your retirement savings rate is lower than you'd like, consider increasing your savings rate by contributing more money to your retirement accounts or exploring other investment options.
It's important to keep in mind that retirement planning is a complex process, and there are many factors that can impact your retirement savings rate, such as inflation, unexpected expenses, and changes in the stock market.
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This year Boris watched 60 movies. He thought that 33 of them were very good. Of the movies he watched, what percentage did he rate as very good?
Answers
Answer:
55%
Step-by-step explanation:
To get 55 I just divided 33/60 and multiplied it buy 100
1) At a pet store, the ratio of female birds to male birds was 5:3. Write a sentence explaining what this means.
Answers
This statement simply means there are more female birds in the pet store than there are male birds. It also means for every 5 female birds in the pet store there are 3 male birds
Ratio: Writing the meaning of a sentenceFrom the question, we are to write a sentence that explains what the given sentence means.
From the given information, the given sentence is
"At a pet store, the ratio of female birds to male birds was 5:3"
This statement simply means there are more female birds in the pet store than there are male birds; or there are less male birds in the pet store than there are female birds. It also means for every 5 female birds in the pet store there are 3 male birds; or for every 3 male birds in the pet store, there are 5 female birds.
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how to convert 200 pounds to kg?
Answers
200 pounds is approximately equal to 90.7185 kg ( rounded to four decimal places )
To convert 200 pounds to kg, we can use the following formula:
1 pound = 0.453592 kg
The conversion factor is 0.453592
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 mass in kg = conversion factor × The mass in pounds
Substitute the values in the equation
The mass in kg = 0.453592 × 200
Multiply the numbers
= 90.7185 kg ( rounded to four decimal places )
Therefore, 200 pounds is 90.7185 kg
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how to convert 25 kilometers to miles?
Answers
25 kilometers is approximately equal to 15.5343 miles ( rounded to four decimal places )
The conversion factor from kilometers to miles is 0.621371.
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
So, to convert kilometers to miles you can multiply the number of kilometers by 0.621371.
The distance in kilometer = 25 kilometers
The distance in miles = conversion factor × The distance in kilometer
Substitute the values in the equation
The distance in miles = 25 × 0.621371
Multiply the numbers
= 15.5343 miles (to three decimal places).
Therefore, 25 km is 15.5343 miles
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Divide. Give the quotient and remainder 211 / 4
Answers
Answer:
52.75
i hope it helps
At the north campus of a small liberal arts college,10% of the students are women. At the south campus, 50% of the students are women. The campuses are merged into one east campus. If 40% of the 1200 students at the east campus are women, how many students did the north and south campuses have before the merger?
Answers
The north campus had 600 students and the south campus had 600 students.Using this ratio, we can solve for the total number of students at the north campus, which is 600 students (10 women x 60 = 600 students).
Before the merger, the north campus had 10% of the students as women, which is the same as saying 10 out of every 100 students were women. This means that 100 students would have been 10 women. Using this ratio, we can solve for the total number of students at the north campus, which is 600 students (10 women x 60 = 600 students). The same process can be done for the south campus, which had 50% of its students as women. This means that 50 out of every 100 students were women, which means that the total number of students at the south campus would have been 600 (50 women x 60 = 600 students). Therefore, the north and south campuses had 600 students each before the merger, for a total of 1200 students between the two campuses.
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I really need help with this question
Answers
Volume of a cone
1/4π ft³
To find the volume of the cone, we use the formula
volume = (1/3) × π × r² × h
From the question, we are given its height and radius
we substitute for these in the equation above. these will give us the answer. (note in terms of pi)
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Destiny wants to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.
Which statement is true?
A) This is possible only for 180° rotations.
B) This is possible for all types of rotations.
C) This is possible for any clockwise rotation.
D) This is not possible for any type of rotation.
Answers
Answer:
A) Only for 180° rotations
Step-by-step explanation:
You want to know if a quadrilateral can be rotated so that each side is parallel to the corresponding side of its image.
RotationIn general, a line segment's image will be parallel to the original if it is rotated 180°. Hence the line segments that make up a quadrilateral's image will be parallel to corresponding sides if the quadrilateral is rotated 180°.
The attachment shows a quadrilateral rotated 180°.
__
Additional comment
We assume that the "corresponding side" of AB is A'B' in the image.
If square ABCD is rotated 90°, then side AB will be parallel to side B'C', and the same will be true for 3 other pairs of sides. For the purpose of this question, we don't consider AB and B'C' to be "corresponding" sides.
Solve the Problem ( Don't Have to graph just give an Equation)
Answers
On graphing the given models we got a parabola as shown below
Graphing the equation:To graph the given equation, find the coordinate points using the given variables. In this problem, we have taken the values of t as 0, 1, and -1 from that find the values of 'h' and form the coordinate points. Now plot the resultant points as a graph.
Here we have
h = - 16t² + 12 represents the height that corn from the ground
Where t represents the time in sec
From given equation,
at t = 0 => h = 12
at t = 1 => h = - 4
at t = -1 => h = -4
Now take h = y and t = x
The coordinates we got are (0, 12) (1, -4) and (-1, -4)
Now use the above points to draw the graph as shown below
Therefore,
On graphing the given models we got a parabola as shown below
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What is the best answer to report for (515 x 0.0025) +24.57? A. 25.858. B. 25.85.
C. 25.8575. D. 26. E. 25.9
Answers
The best answer to submit for (515 x 0.0025) + 24.57 is 25.8575.
A decimal is a number with a whole and a fractional component. Decimal numbers, which are in between integers, are used to express the numerical value of full and partially whole amounts. Decimal notation is the name for the method used to represent numbers in the decimal system. The Hindu-Arabic numeral system has been expanded to include non-integer values.
To find the answer to the expression (515 x 0.0025) +24.57, we can simplify it by performing the multiplication and addition in the correct order:
(515 x 0.0025) + 24.57 = 1.2875 + 24.57 = 25.8575
Therefore, the best answer to report is C. 25.8575.
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Holly increases 800 by 10%.
She then decreases the result by 10%.
What is her final number?
Answers
Answer:
Step-by-step explanation:
792!
Answer:
792
Step-by-step explanation:
First she increases 800 by 10 percent
Since 10 percent of 800 is 80, it becomes 880
then she decreases this result by 10 percent
since 10 percent of 880 is 88, the result becomes 880-88=792
Therefore 792 is the final number
Please help me with the blank box :]
Answers
Answer:whitch one are they talking about I think it might be answer 3
Step-by-step explanation:
Simplify this equation:
Answers
Answer:
[tex]8y^{3}[/tex]
Step-by-step explanation:
First you move like terms together. This leads to the equation, (2*2^2)(y^2*y). (2*2^2) is (2*4), or 8, and y^2*y is y^3. This means the simplifies equation is 8(y^3).
Answer:
Step-by-step explanation:
Given
[tex]\left(y^22\right)\left(y2^2\right)[/tex]
Lets simplify.
Remove the parenthesis.
[tex]y^2*2*y*2^2[/tex]
Rearrange the terms. (commutative property)
[tex]y*y^2*2*2^2[/tex]
Rewrite [tex]y[/tex] as [tex]y^1[/tex].
[tex]y^1y^2*2*2^2[/tex]
Use the power rule to combine the exponents.
[tex]y^{1+2} *2*2^2[/tex]
[tex]y^{3} *2*2^2[/tex]
Evaluate [tex]2*2^2[/tex].
[tex]2*2*2=8[/tex]
[tex]y^3*8=8y^3[/tex]
[tex]8y^3[/tex]
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i will give brainliest. A first-time home buyer is given the choice of two loans: Loan A Loan B $390,000 15 year-fixed 4 discount points M = $3,509.71 $390,000 15 year-fixed 0 discount points M = $3,659.86 How much does the home buyer save in total by choosing Loan A? $27,027.00 $11,427.00 $26,351.02 $42,627.05
Answers
The solution is, Loan origination fee = $696
What is percentage?A percentage is a number or ratio that can be expressed as a fraction of 100. A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, "%", although the abbreviations "pct.", "pct" and sometimes "pc" are also used. A percentage is a dimensionless number; it has no unit of measurement.
here, we have,
Given:
Home value = $58,000
Loan-to-value loan = 80%
Loan origination fee = 1.5 points = 1.5%
Find:
Loan origination fee = ?
Computation:
Total loan amount = Home value × Loan-to-value loan
Total loan amount = $58,000 × 80%
Total loan amount = $46,400
Loan origination fee = Total loan amount × 1.5%
Loan origination fee = $46,400 × 1.5%
Loan origination fee = $696
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A triangle with exterior angles is shown. A horizontal line intersects with a diagonal line. Another line connects the horizontal line to the diagonal line to form a triangle. The exterior angle at the top left of the triangle is 130 degrees. The exterior angle at the top right of the triangle is x degrees. The exterior angle at the bottom of the triangle is 134 degrees.
The value of x is _____.
Answers
In the triangle the value for x is obtained as option B: 96°.
What are triangles?
Triangles are a particular sort of polygon in geometry that have three sides and three vertices. Three straight sides make up the two-dimensional figure shown here. An example of a 3-sided polygon is a triangle. The total of a triangle's three angles equals 180 degrees. One plane completely encloses the triangle.
Use the fact that the sum of the exterior angles of a triangle is always 360°.
Let the unknown exterior angle be x.
So, the equation will be -
130° + 134° + x = 360°
264° + x = 360°
x = 360° - 264°
x = 96°
Therefore, the value is obtained as 96°.
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-10
5
What is the y-intercept?
-5
10
10
0
5
X
10
Answers
The y-intercept of the graph of this line is equal to 1.
What is the slope-intercept form?Mathematically, the slope-intercept form of the equation of a straight line is given by this mathematical expression;
y = mx + c
Where:
m represents the slope or rate of change.x and y are the points.c represents the y-intercept or initial value.What is y-intercept?In Mathematics, the y-intercept is sometimes referred to as an initial value and the y-intercept of any graph such as a linear function, generally occur at the point where the value of "x" is equal to zero (x = 0).
In this context, we can logically deduce that the y-intercept as shown in the image attached below is at point (0, 1).
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How many cm in 63 inches?
Answers
63 inches is nearly equal to 160.02 cm, rounded to two decimal places.
The Imperial and US Customary measuring systems both utilise the inch as their unit of measurement.
It is the unit of length.
Furthermore, length is measured in centimetres,
Used in the International System of Units,
This is the metric system's present configuration.
52 centimetres equal 20.47 inches (centimeters).
63 inches are equal to 160.02 centimetres.
To convert inches to centimeters,
We can use the following conversion:
1 inch = 2.54 cm
Therefore,
To convert 63 inches to centimeters,
You can multiply 63 by 2.54:
63 inches × 2.54 cm/inch
= 160.02 cm
So 63 inches is nearly equal to 160.02 cm, rounded to two decimal places.
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What is the end behavior of the polynomial
Answers
Answer:
As x --> ∞, then y --> - ∞
Step-by-step explanation:
As the value of x increases(as the graph goes right), the graph seems to go down, meaning the y-values are getting more an more negative. This means that as x approached infinity, the y values approach negative infinity ( x --> ∞, y --> - ∞ ).
As the value of x decreases(going to the left), the graph seems to go higher and higher. Therefore, as x approaches negative infinity, the y-value approach infinity. ( x --> - ∞, y --> ∞ )
Out of the options given, the one As x --> ∞, then y --> - ∞ is true.
Tan x° = 110/11 HELP
Answers
Answer:
Below
Step-by-step explanation:
tan x = 110 /11
Arctan( tan x) = arctan(110/11)
x = 84.3°