A. Find the distance between the following pairs of points.(1,5),(3,8)

The x-intercepts of the rainbow are (sqrt(19), 0) and (-sqrt(19), 0), while the y-intercept is (0, 19). In context, the x-intercepts represent the points where the rainbow touches the ground, while the y-intercept represents the highest point of the rainbow.

Linear function: y = 3x + 1

x y

3 10

5 16

7 22

9 28

The linear function is positive, which means that the airplane's altitude is increasing as it moves towards the right on the graph. In context, this means that the airplane is ascending as it moves away from the observer towards the rainbow.

The system of equations created by the two functions is:

y = -x^2 + 19

y = 3x + 1

By substituting y in the second equation with the first equation, we get:

-x^2 + 19 = 3x + 1

Solving for x, we get:

x = -2 or x = 5

Substituting these values of x back into either of the equations, we get the corresponding values of y:

(-2, 7) and (5, 16)

These two solutions represent the points of intersection between the rainbow and the airplane's trajectory.

The domain of the rainbow is all real numbers, while the range is y ≤ 19. In context, this means that the rainbow can appear at any point in the observer's field of view, but its highest point is at y = 19.

All of the values in the domain and range make sense in this situation since they are within the physical limits of the observer's perception.

The x-intercepts of the rainbow are (sqrt(19), 0) and (-sqrt(19), 0), while the y-intercept is (0, 19). In context, the x-intercepts represent the points where the rainbow touches the ground, while the y-intercept represents the highest point of the rainbow.

Learn more on linear functions here https://brainly.com/question/15602982

#SPJ1

Answer: the answer is

Step-by-step explanation:

eggs

Answer:

[tex]tringle = \frac{1}{2} \times base \times hieght[/tex]

1/2 × 8×5

0.5×40

=20m

Answer:

4 1/2

Step-by-step explanation:

If two chords intersect in a circle, the product of the lengths of the segments of one chord equal the product of the segments of the other.

JH * HK = GH * HI

3 * (2x+1) = 2 ( x+5)

Distribute

6x+3 = 2x+10

Subtract 2x from each side.

6x-2x+3 = 2x-2x+10

4x+3 = 10

Subtract 3 from each side.

4x = 10-3

4x= 7

Divide by 4.

x = 7/4

Now find HK.

HK = 2x+1

     = 2(7/4)+1

     = 7/2+1

     = 9/2

    = 4 1/2

Answer: median

Step-by-step explanation:

A is not a center of measure and nethier ia mode and since the data is skewd it is the median and if it is not skewd it is the mean

Answer:

To find out what number 21 is 28% of, we can use the proportion:

21 / x = 28 / 100

where x is the unknown number we are trying to find.

We can solve for x by cross-multiplying and simplifying:

21 * 100 = 28 * x

2100 = 28x

x = 2100 / 28

x = 75

Therefore, 21 is 28% of 75.

Answer:

21 is 28 percent of 75

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

(7x² / 6x - 10)

Step-by-step explanation:

To divide rational expressions, we flip the second fraction (the divisor) and multiply it with the first fraction (the dividend). Then we simplify the resulting expression, if possible.

So,

(7x² /2x +6) ÷ (3x -5/ x+3)

= (7x² /2x +6) * (x+3/3x -5)

= 7x²(x+3) / 2(x+3)(3x -5)

= 7x² / 6x - 10

Therefore, the quotient of the given rational expressions is (7x² / 6x - 10), which cannot be further reduced.

Answer:

2

7x

3

​

+18x+3−

x

5

​

Short Solution Steps

7x

2

/2x+63x−5/x+3

Express  

2

7x

2

​

x as a single fraction.

2

7x

2

x

​

+6×3x−

x

5

​

+3

Multiply 6 and 3 to get 18.

2

7x

2

x

​

+18x−

x

5

​

+3

To add or subtract expressions, expand them to make their denominators the same. Multiply 18x+3 times  

2

2

​

.

2

7x

2

x

​

+

2

2(18x+3)

​

−

x

5

​

Since  

2

7x

2

x

​

 and  

2

2(18x+3)

​

 have the same denominator, add them by adding their numerators.

2

7x

2

x+2(18x+3)

​

−

x

5

​

Do the multiplications in 7x

2

x+2(18x+3).

2

7x

3

+36x+6

​

−

x

5

​

To add or subtract expressions, expand them to make their denominators the same. Least common multiple of 2 and x is 2x. Multiply  

2

7x

3

+36x+6

​

 times  

x

x

​

. Multiply  

x

5

​

 times  

2

2

​

.

2x

(7x

3

+36x+6)x

​

−

2x

5×2

​

Since  

2x

(7x

3

+36x+6)x

​

 and  

2x

5×2

​

 have the same denominator, subtract them by subtracting their numerators.

2x

(7x

3

+36x+6)x−5×2

​

Do the multiplications in (7x

3

+36x+6)x−5×2.

2x

7x

4

+36x

2

+6x−10

​

Step-by-step explanation:

PLEASE GIVE ME BRAINLIEST I AM LOOKING FOR A FRIEND

the given solution set {-5, -1} can be obtained by substituting either of the possible solutions into the absolute value equation and verifying that it holds.

what is an equation ?

In mathematics, an equation is a statement that asserts the equality of two mathematical expressions. An equation typically consists of two expressions separated by an equal sign, with the expression on the left side of the equal sign equal to the expression on the right side of the equal sign.

In the given question,

To write an absolute value equation that satisfies a given solution set, we need to consider the definition of absolute value. The absolute value of a number is its distance from zero the number line. Therefore, an absolute value equation can be written as follows:

|expression| = distance

where the expression is the quantity whose absolute value is being taken, and distance is a non-negative value representing the distance from zero. The equation is satisfied if and only if the expression has a distance from zero that matches the given distance.

For the solution set {-5, -1}, we can write the following absolute value equations for the given figures:

A number line with -5 and -1 marked as solutions:

|x + 3| = 2

This equation is satisfied when x = -5 or x = -1, because |-5 + 3| = 2 and |-1 + 3| = 2.

A number line with -5 and -1 equidistant from zero:

|x| = 5

This equation is satisfied when x = -5 or x = 5, because |-5| = 5 and |5| = 5.

Note that for both figures, the given solution set {-5, -1} can be obtained by substituting either of the possible solutions into the absolute value equation and verifying that it holds.

To know more about equation, visit:

https://brainly.com/question/29657983

#SPJ1

Using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.

Net sales, as used in bookkeeping, accounting, and financial accounting, refer to operating revenues received by a business from the sale of its goods or provision of its services.

They are directly recorded as Sales or Net sales on the income statement and are also referred to as revenue.

The net sales formula is rather simple in profit and sales transactions: net sales = gross sales - (return values + discount losses + sales taxes + allowances).

So, the sales revenue in the given situation would be:

According to the provided data, the sales revenue will be determined as follows:

= Value of note × PVF of receivable

= $528000 × 0.8638

= $456108

Therefore, using the given data we know that the sales revenue that Wright recognize on January 1, 2020, is $456108.

Know more about sales revenue here:

https://brainly.com/question/29436143

#SPJ1

Correct question:

On January 1, 2021, Wright Transport sold four school buses to the Elmira School District. In exchange for the buses, Wright received a note requiring payment of $534,000 from Elmira on December 31, 2023. The effective interest rate is 6%. (FV of $1, PV of $1, FVA of $1, PVA of $1, FVAD of $1 and PVAD of $1) (Use appropriate factor(s) from the tables provided.). How many sales revenue would Wright recognize on January 1, 2020, for this transaction?

Answer:

75%

Step-by-step explanation:

99/132=0.75

Answer:

75% of the chairs are red

Step-by-step explanation:

99/132 chairs are red. When divided, that equals 0.75. 0.75 is equivalent to 75%.

Answer:8%

Step-by-step explanation:

you divide 25 by 32 and round to nearest tenth

hope this helps :)

The lengths we found are:

LM = 20

JQ = 26

KQ = 800 / 117

Let's call the length of the median from vertex J to the opposite side LM, and the length of the median from vertex L to the opposite side JN. We can use the fact that the centroid divides each median into two parts, with the ratio of the longer part to the shorter part being 2:1.

First, we can find LM:

LM = 2 x QM = 2 x 10 = 20

Next, we can find JQ:

JQ = 2/3 x JN = 2/3 x 39 = 26

Finally, we can find KQ:

To find KQ, we need to use the fact that the three medians of a triangle divide each other into six smaller triangles with equal areas. Let's call the length of the third median KX. We know that the area of triangle JLK is:

1/2 x LM x JN = 1/2 x 20 x 39 = 390

Similarly, the areas of triangles JNQ, LMQ, JKP, LKP, and JLP are all equal to 390. Let's call this common area A. Then we have:

1/2 x KX x LM = A

1/2 x KX x JN = A

Dividing these two equations, we get:

LM / JN = KX / LM

Substituting the values we know, we get:

20 / 39 = KX / 20

Solving for KX, we get:

KX = 20 x (20 / 39) = 400 / 39

Now we can find KQ:

KQ = 2/3 x KX = 2/3 x (400 / 39) = 800 / 117

Therefore, the lengths we found are:

LM = 20

JQ = 26

KQ = 800 / 117

To know more about lines and segments follow

https://brainly.com/question/23253426

#SPJ1

The ordered pair (1, 2) is a solution for the equation 4x + 2y = 8.

To find an ordered pair that is a solution for the equation 4x + 2y = 8, we need to find a pair of values for x and y that satisfies the equation when we substitute them into the equation.

One way to do this is to choose a value for x and then solve for y, or vice versa.

For example, we can choose x = 1 and then solve for y:

4x + 2y = 8

4(1) + 2y = 8

4 + 2y = 8

2y = 4

y = 2

So, when x = 1 and y = 2, the equation is satisfied:

4(1) + 2(2) = 8

Read more about linear relation at

https://brainly.com/question/30318449

#SPJ1

In linear equation., both quantities are different from each other.

What is a linear equation in mathematics?

A linear equation in algebra is one that only contains a constant and a first-order (direct) element, such as y = mx b, where m is the pitch and b is the y-intercept.

                         Sometimes the following is referred to as a "direct equation of two variables," where y and x are the variables. Direct equations are those in which all of the variables are powers of one. In one example with just one variable, layoff b = 0, where a and b are real numbers and x is the variable, is used.

Taking LHS

  5 2/3 - 3 3/4= 17/3 - 15/4

  17/3 - 15/4 =  68 - 45/12  = 23/12

now solving RHS

  1+2/3+3/4  = 12 + 8 + 9/12  = 29/12

clearly, LHS≠ RHS

hence both quantities are different from each other.

Learn more about linear equation

brainly.com/question/11897796

#SPJ1

The true statements include

Rigid transformation is a type of geometric transformation in which the size and shape of an object remain unchanged. Rigid transformations include

In a rigid transformation, the position of the object in space may change, but its size, shape, and orientation remain the same.

In the object in the graph the length of the segments remain same and since the translation affects only y direction the x-coordinate will be unchanged.

Learn more about transformation at

https://brainly.com/question/4289712

#SPJ1

Answer:

251.2 in

Step-by-step explanation:

Circumference of circle = 2 · π · r

π = 3.14

r = 40 in

Let's solve

2 · 3.14 · 40 = 251.2 in

So, the circumference of the circle is 251.2 in

Answer:

(-8.89, -26.69)

Step-by-step explanation:

To find the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1), we can use the following steps:

[tex]\sqrt{(2 - (-|a|))^2 + (1 - (-3|a|))^2} = 5\\\sqrt{(2 + |a|)^2 + (1 + 3|a|)^2} = 5[/tex]

[tex]a^2 + 8a - 8 = 0[/tex]

[tex]a = \frac{-8 ±\sqrt{8^2 - 4(1)(-8)}} {(2(1))}\\a = \frac{-8 ± \sqrt{96}}{ 2}\\a = -4 ± 2\sqrt{6}[/tex]

[tex]a = -4 - 2\sqrt(6)[/tex]

(x, y) =[tex](-|-4 - 2\sqrt(6)|, -3|-4 - 2\sqrt(6)|)[/tex]

(x, y) ≈ (-8.89, -26.69)

Therefore, the point with coordinates of the form (a, 3a) that is in the third quadrant and is a distance 5 from P(2,1) is approximately (-8.89, -26.69).

The bearing of B from P is N24.65°E (or S24.65°W), and the ship is approximately 33.54 nautical miles from the port.

Since the ship travels at a constant speed, we can use the formula:

distance = speed × time

For the first hour, the ship travels at a bearing of S80°E, which is equivalent to a bearing of N10°E. Therefore, the ship travels 15 nautical miles in a direction N10°E. This gives us:

PA = distance = speed × time = 15 × 1 = 15 nautical miles

After the first hour, the ship turns 90° towards the North. This means that the ship is now heading due East. Therefore, for the next 2 hours, the ship travels 15 × 2 = 30 nautical miles in an easterly direction. This gives us:

AB = distance = speed × time = 15 × 2 = 30 nautical miles

Now, we can use the Pythagorean theorem to find the value of y:

y² = x² + (AB)²

y² = 15² + 30²

y² = 225 + 900

y² = 1125

y ≈ 33.54 nautical miles

To find the bearing of B from P, we can use trigonometry. The bearing is the angle between the line PA and due North. Let θ be this angle. Then we have:

tan(θ) = x / y

θ = tan^-1(x / y)

Using the values we have found, we get:

tan(θ) = 15 / 33.54

θ ≈ 24.65°

Therefore, the bearing of B from P is N24.65°E (or S24.65°W), and the ship is approximately 33.54 nautical miles from the port.

To know more about trigonometry follow

https://brainly.com/question/9865534

#SPJ1

According to the given condition. The inequality that matches this graph is option B) x ≥ -5.

An inequality equation is a mathematical statement that compares two expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to).

The inequality that matches this graph is option B, "x ≥ -5". The graph represents a solid dot at x = -5 and a shaded region to the right of x = -5, including x = -5. This means that x can take on any value greater than or equal to -5, so the inequality can be written as x ≥ -5.

Therefore, According to the given condition. The inequality that matches this graph is option B) x ≥ -5.

To know more about inequality equations visit:

https://brainly.com/question/30238989

#SPJ1

Where the conditions above are given with regard to the above triangle, the ratio AD:DB is 1:1.

Since D is the midpoint of AB, we have:

AD = DB

Let M and N be the midpoints of OA and OB, respectively. Then we have:

AM = MO = x/2

BN = NO = y/2

Also, from the given information, we have:

OD = 3/7x + 4/7y

Since D is the midpoint of AB, we have:

AD + DB = AB

Substituting AD = DB, we get:

2AD = AB

Therefore:

AD = AB/2

We can express AB in terms of x and y using the law of cosines:

AB^2 = OA^2 + OB^2 - 2(OA)(OB)cos(BOA)

Since M and N are midpoints, we have:

OM = OA/2 and ON = OB/2

Therefore, using the law of cosines, we have:

MN^2 = OM^2 + ON^2 - 2(OM)(ON)cos(MON)

Substituting OM = OA/2 and ON = OB/2, we get:

MN^2 = OA^2/4 + OB^2/4 - (OA)(OB)/2 cos(BOA)

But MN = OD, so we can also express this as:

OD^2 = (3/7x + 4/7y)^2 = OA^2/4 + OB^2/4 - (OA)(OB)/2 cos(BOA)

Substituting OD^2 = (3/7x + 4/7y)^2 and simplifying, we get:

9x^2 + 16y^2 = 49(OA^2 + OB^2) - 42(OA)(OB) cos(BOA)

Substituting AB^2 = OA^2 + OB^2 - 2(OA)(OB) cos(BOA) and simplifying, we get:

9x^2 + 16y^2 = 49AB^2

Substituting AD = AB/2, we get:

9x^2 + 16y^2 = 49(2AD)^2

Simplifying, we get:

x^2 + 4y^2 = 28AD^2

We want to find the ratio AD:DB, which is the same as the ratio AD:(AB - AD). Substituting AB = 2AD, we get:

AD:(AB - AD) = AD:AD = 1:1

Therefore, the ratio AD:DB is 1:1.

Learn more about triangle at:

https://brainly.com/question/2773823

#SPJ1

Answer:

x = 360°/8 = 45°

y = 2 × 45° = 90°

The total volume of the wall units is 108 cubic feet

The volume of the wall is solved by dividing the figure to give the various dimensions represented in the form length x width x depth

The volume of each is solved then added to get the total volume

first division: 4 x 4 x 8 = 96

second division: 3 x 2 x 2 = 12

The total volume is

= 96 + 12

= 108 cubic feet

so the total volume is solved to be 108 cubic feet

Learn more about volume at

https://brainly.com/question/27710307

#SPJ1

Answer:

4 cannot be written as a logarithm with a base of 4. A logarithm is an exponent that tells us how many times we need to multiply a base by itself to get a certain number. For example, log2(8) = 3 because 2^3 = 8. We can write this as an equation: logb(x) = y means b^y = x.

-4 cannot be written as a logarithm with a base of 4 because there is no exponent that can make 4 equal to -4. In other words, there is no y such that 4^y = -4. This is because any positive number raised to any power will always be positive. Therefore, log4(-4) is undefined or does not exist.

Therefore, -4 cannot be written as a logarithm with a base of 4.

Step-by-step explanation:

The difference in volume between the two boxes would be = 156in³

To calculate the difference in volume between the boxes is the find the individual volume of the boxes using the formula ;

Volume = length×width×height.

For box 1 = length = 12in, width = 7¾in, height= 2in

Vol = 12×7¾×2 = 186in³

For box 2; length = 3⅔in, width = 3½in, height= 2⅓in

Volume = 3⅔×3½×2⅓ = 30

The difference = 186-30 = 156in³

Learn more about volume here:

https://brainly.com/question/27710307

#SPJ1

According to the information provided, HI = 20, the triangle can be categorised by sides that are as follows:

A collection of numbers or "terms" is called a sequence. Examples of terms are 2, 5, and 8. Some sequences can be made endlessly lengthy by taking advantage of a particular pattern they follow. Use the example of 2,5,8 and add 3 to continue the sequence.I have a code that tells me where to look for words in a sequence. A collection of objects in a peculiar order is called a sequence (or event) in mathematics. . It resembles a set in that it contains pieces (also called elements or terms). The entire, perhaps infinite number of ordered objects are referred to as the sequence's length. the act of placing two or more items in a logical order. Chronological.

We need further details regarding the triangle's side lengths in order to identify whether the cylinder is scalene, isosceles, etc equilateral. The cylinder with HI = 20 appears to have no relationship to the sides with lengths values 10, 6, & 8.

Given that the material after "b" contains symbols and numerals that do not make sense together, it can be incomplete or improperly structured. If you would kindly submit a thorough and correctly formatted inquiry, I would be pleased to assist you with sorting the triangle according to its sides or to offer any other information you might require.

To know more about sequence visit:

https://brainly.com/question/21961097

#SPJ1

Answer:

[tex]\frac{sin(A)}{a}[/tex]

Answer:

$525

Step-by-step explanation:

To calculate the sales commission for this employee, we need to first calculate the total sales made by the employee for the week. The employee made sales of 800 on Monday, 600 on Tuesday, 1300 on Wednesday, 800 on Thursday and 800 on Friday. The total sales made by the employee for the week is:

800 + 600 + 1300 + 800 + 800 = 4500

Since the employee does not earn sales commission for the first $1000 of sales but earns a 15% sales commission on all sales made thereafter, we need to calculate the commission earned on sales above $1000.

The total sales above $1000 is:

4500 - 1000 = 3500

The commission earned on sales above $1000 is:

3500 x 15% =$525

Therefore, the employee earned a sales commission of $525 this week.