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3 years ago

What is the simplified form of the following expression?

Mathematics

1 answer:

geniusboy [140]3 years ago

3 0

Answer:

242

Step-by-step explanation:

Simplify the following:

11 ((9^2 - 5^2)/2^2 + 8)

Hint: | Evaluate 2^2.

2^2 = 4:

11 ((9^2 - 5^2)/4 + 8)

Hint: | Evaluate 5^2.

5^2 = 25:

11 ((9^2 - 25)/4 + 8)

Hint: | Evaluate 9^2.

9^2 = 81:

11 ((81 - 25)/4 + 8)

Hint: | Subtract 25 from 81.

| 7 | 11

| 8 | 1

- | 2 | 5

| 5 | 6:

11 (56/4 + 8)

Hint: | Reduce 56/4 to lowest terms. Start by finding the GCD of 56 and 4.

The gcd of 56 and 4 is 4, so 56/4 = (4×14)/(4×1) = 4/4×14 = 14:

11 (14 + 8)

Hint: | Evaluate 14 + 8 using long addition.

| 1 |

| 1 | 4

+ | | 8

| 2 | 2:

11×22

Hint: | Multiply 11 and 22 together.

| 2 | 2

× | 1 | 1

| 2 | 2

2 | 2 | 0

2 | 4 | 2:

Answer: 242

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The perimeters of two similar triangles are 25 cm and 15 cm respectively. If one side of the first

Vanyuwa [196]

Answer:

5.4cm

Step-by-step explanation:

In similar triangles, the perimeter of the triangles will be in the ratio of their corresponding sides.

The ratio of their perimeter is

perimeterofΔ2 15

--------------------- = -------------

perimeterofΔ1 25

So, the side of triangle 2 will be

9 * 15 15

---------------- = --------------

sideofΔ2 25

⟹side of Δ2= 25 / 9∗15 =5.4.

4 0

3 years ago

You originally draw a design for an art contest on a 2 in. x 5 in. card. The second phase of the contest requires the drawing to

pentagon [3]

The correct answer is: 
4.2 inches.

Explanation: 
We use the size of the largest dimension of the reproduction to find the scale factor. The largest dimension of the original drawing was 5 inches.
The largest dimension of the reproduction is 11 inches.

To find the scale factor, divide: 
 $\frac{11}{5}$ =2.1.

Since the scale factor is 2.1, to find the smallest dimension of the reproduction we multiply the original by 2.1:
2*2.1=4.2 inches.

4 0

3 years ago

Read 2 more answers

There are five students of different ages. Their median age is 13 years A) what are two possibilities for the ages of the three

Levart [38]

A) the median is the middle measurement. Their ages could be 13, 14 and 15.
B) 2 students must be younger than 13
C) Like I said, the median is the middle measurement. If you have a list of numbers, you have to order them and take the middle number.

:) Have a nice day and maybe consider grading this answer brainliest? <3

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3 years ago

Graph the line with the equation y= -2/5x -4 NEED ASAP PLS

Mice21 [21]

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3 years ago

Which Of the following pairs of functions are inverse of each other?

damaskus [11]

One way is to solve for the inverse of the first function

remember, to solve, replace f(x) or g(x) with y, switch x and y, solve for y and replace it with $f^{-1} (x)$

$f(x)=x/2+8\\y=x/2+8\\x=y/2+8\\x-8=y/2$

$2x-16=y$

$f^{-1}=2x-16$

nope, not A

<h3>What is the inverse function?</h3>

The inverse function of a function f is a function that undoes the operation of f. The inverse of f exists if and only if f is bijective, and if it exists, is denoted by $f^{-1}.$