MATHEMATICS MIDDLE SCHOOL

The function A(b) relates the area of a trapezoid with a given height of 12 andone base length of 9 with the length of its other base.
It takes as input the other base value, and returns as output the area of the
trapezoid.
A(b) = 12.579
Which equation below represents the inverse function B(a), which takes the
trapezoid's area as input and returns as output the length of the othef base?

Answers

Answer 1

Answer:

Answer:

$B(a)=(a)/(6)-9$

Step-by-step explanation:

see the attached figure , to better understand the problem

we have

$A(b)=12((b+9)/(2))$

where

A(b) ---> is the trapezoid's area

b ---> is the other base value

Solve the equation for b

That means ----> isolate the variable b

Divide 12 by 2 right side

$A=6(b+9)$

Divide by 6 both sides

$(A)/(6)=b+9$

subtract 9 both sides

$(A)/(6)-9=b$

Rewrite

$b=(A)/(6)-9$

Convert to function notation

$B(a)=(a)/(6)-9$

Related Questions

it is estimated that an iceberg weighs 84000 tonnes. As the iceberg moves into the warmer water, it's weight decreased by 25% each day. What will the iceberg weigh after 3 days in the warmer water? Give your answer to 3 significant figures.
An envelope from the post office is 6 inches wide and 8 inches long. what is the perimeter of the envelope
A bag contains 5 black marbles, 9 white marbles, and 2 red marbles. One marble is to be chosen at random. What is the probability that the chosen marble will be red?
7.50 admission; 20% off;5.75% tax
Determine the intercepts of the line.

What percent of the boxes have x's in them

Answers

There are 32 total boxes. Only 14 of the boxes in the grid have an x inside of the box. We can find what percent of the boxes have an x in them by making a fraction. $(14)/(32)$ represents the number of boxes that have an x in them out of all the boxes in the grid.

$(14)/(32)$ can be reduced to $(7)/(16)$ by dividing both the numerator and denominator by the Greatest Common Factor of 14 and 32 which is 2.

7 ÷ 16 = 0.4375

0.4375 × 100 = 43.75%

Therefore, 43.75% of the boxes have an x inside of them.

It is a 4 by 8 grid. So there are 32 squares total.
Now, count how many x's are on the boxes.
I counted 14 x'ed boxes.
Divide 14 by 32
14/32=0.4375
Now convert to a percent. Move the decimal two places to the left.
You get 43.75% as the answer.

The left and right page numbers of an open book are two consecutive integers whose sum is 519. Find these page numbers.

Answers

Answer:

The answer is 259 and 260

Step-by-step explanation:

519/2= 259.5

259+260=519

The center on the basketball team scored 19 of the team’s 98 points. What percent of the points did he score?

Answers

19/98=.1938= 19.38% of the points

19 x 100/98 = 19.387755102%

10 points!i am fairly sure the answer is one of the bottom two. please help me! is it what would be C?
thanks! :)

Answers

The answer would be C since the parenthesis make you add 10+90 first. I hope that helps. :)

The answer is C. and you did have it right :3 haha as u can see

What is the solution to the equation? 2(x – 7) = 10x + 18

Answers

x equals negative 4 ( x=-4)

1. Expand2x−14=10x+18
2. Subtract 2x from both sides−14=10x+18−2x
3 Simplify 10x+18−2x to 8x+18−14=8x+18
4. Subtract 18 from both sides−14−18=8x
5. Simplify −14−18 to −32−32=8x
6. Divide both sides by 8−328 = x
7. Simplify 328 to 4−4 = x−4 = x
8. Switch sidesx = −4

Find the GCF of 44j5k4 and 121j2k6.

Answers

How? I really would like to know

Answer:

The GCF is $11j^(2) k^(4)$

Step-by-step explanation: I did the assignment on edge.

Other Questions

The value of (-7)2 is negative.TrueFalse

How is the 2 in the number 582 similar to the 2 in the number 528

What is the answer ?

Jamal finished 5/6 of his homework.margaret finished 3/4 of her homework and Steve finished 10/12 of his homework.which two students finished the same amount of homework