Mathematics, 06.10.2019 04:30 mollycompton04

What is the value of x to the nearest tenth?

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Answer from: lucky1940

Given that this is a right triangle, we can use the Pythagorean theorem. Our theorem can be described as a^2+b^2=c^2

Our a and b values will always be our legs, aka the lines that form the right angle. In this point, We have an a value but do not have a b value. We can assume that A=7 but B=X.
The C value will be represented by our hypotenuse, which forms opposite of the right angle. In this case, our c= 12. Lets plug in what we know.

a=7
b=x
c=12

7^2+x^2=12^2

Our first step is to square everything, except the unknown number.

49+x^2=144

Now that we have that, We can solve it like any other equation. Lets subtract our 49 first.

x^2=95

Now that we have this, we will have to do the opposite of squaring number. The opposite of squaring a number is a taking the square root of it.

This now makes it:

x= 9.74679434481

In this case, it can be rounded to 9.7 OR 9.8 (DEPENDING HOW YOU ROUND)

X= 9.7 OR 9.8 (DEPENDING ON HOW YOU ROUND)

Answer from: Quest

walter needs to make at least 5 more cookies but no more than 40. 5 ≥ x ≥ 40;

step-by-step explanation:

walter has to make a minimum of 20 cookies. he already has 15 cookies made, so he must make 5 more to meet the minimum.

the maximum amount of cookies he can make is 55. he already has 15, so he has to make no more than 40 more cookies to meet the maximum.

Answer from: Quest

{x = -1/2 , y = -1

step-by-step explanation:

solve the following system:

{2 x + y = -2

{10 x - 3 y = -2

in the first equation, look to solve for y:

{2 x + y = -2

{10 x - 3 y = -2

subtract 2 x from both sides:

{y = -2 x - 2

{10 x - 3 y = -2

substitute y = -2 x - 2 into the second equation:

{y = -2 x - 2

{10 x - 3 (-2 x - 2) = -2

10 x - 3 (-2 x - 2) = (6 x + 6) + 10 x = 16 x + 6:

{y = -2 x - 2

{16 x + 6 = -2

in the second equation, look to solve for x:

{y = -2 x - 2

{16 x + 6 = -2

subtract 6 from both sides:

{y = -2 x - 2

{16 x = -8

divide both sides by 16:

{y = -2 x - 2

{x = -1/2

substitute x = -1/2 into the first equation:

{y = -1

{x = -1/2

collect results in alphabetical order:

answer: {x = -1/2 , y = -1

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