What is the range of the following data values

the area of a window is 192 in squared. The width if the window is four inches more than half the length of the window. What are

Leya [2.2K]

Answer:

Length = 16 inches and width = 12inches

Step-by-step explanation:

A = 192 in² . The width is 4 + 1/2x. therefore let x = length

Area = LW

192 = x(4 + 1/2 x)

192 = 4x + 1/2x²

384 = 8x + x² Multiply each term by 2 to make a

384 + 16 = x² + 8x + 16 Complete the square

400 = (x + 4)²

$\sqrt{400} = \sqrt{(x + 4)^2}$

± 20 = x + 4

20 = x + 4 or -20 = x + 4

20 - 4 = x or -20 - 4 = x

16 = x or -24 = x reject the negative amount

Length = 16

width = 4 + 1/2(16); 4 + 8 = 12

8 0

2 years ago

Which of the following is equivalent to (5)^7/3

kifflom [539]

The answer is $\sqrt[3]{ 5^{7} }$ 

The reason we get this answer is because when you are converting from exponential form, to radical form you always place the numerator as our constant's exponent in the radical ( $5^{7}$ is called the radicand because it is located in the radical) and the denominator in front of the radical, where it would be called the index.

Here's what a formula would look like: $( \sqrt[n]{x} ) ^{q}=x^{ \frac{p}{q} }$

Thank you for your question! I hope this helped! Have an amazing day and feel free to let me know if I can help you further! :D

3 0

3 years ago

Read 2 more answers

What is the answer for three fourths x equals nine

Dmitry [639]

Answer:

x=12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

3 0

3 years ago

Mark and peter went to an arcade where the machines took tokens. Marilk played 9 games of ping pong and 5 games of pinball, usin

Readme [11.4K]

Answer:

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.

Step-by-step explanation:

Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.

So, from the given conditions we can write

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Now, solving equations (1) and (2) we get,

9x + 5(7 - 3x) = 29

⇒ 35 - 6x = 29

⇒ 6x = 6

⇒ x = 1 token.

Now, putting x = 1 in equation (2) we get,

3 + y = 7

⇒ y = 4 tokens.

So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)

6 0

3 years ago

16. (it’s a triangle) x x + 4 X-1 x + 2 what is x?

grigory [225]

Answer:

im sorry i don't know the answer i just need to do this so that i can ask my question pls forgive me

6 0

3 years ago