Use Pythagorean's Theorem to find the length of x.

so

and

. We can simplify that radicand down into a perfect square times a prime number, and that is

. 4 is a perfect square that can be pulled out as a 2, so the length of x is

, the choice on the top right.
Answer:
is the answer.
In decimal y = 43.71
Step-by-step explanation:
Given:
y varies directly with x .
Also x = 7 when y = 18
To Find:
y = ? when x = 17
Solution:
y varies directly with x .
i.e. y is directly proportional to x
∴ 
Where
k = constant of proportionality {Remain Same}
First we will find constant of proportionality k,
∴ When x = 7 and y = 18 we have
∴ 
Now when x= 17 and
we have
∴ 
∴ 
So -4 is where the line crosses the y axis (aka the y intercept). then to find other points, you can either count of the line by doing the slope (rise over run) in this scenario you would go up 8 and over 1 or you can plug in numbers for x and then can get ordered pairs for other points
Rewrite the first equation: 3y=-2x-17. The equations are coincidental and -17 is one sixth of -102 so the other coefficients need to be multiplied by 6: 18y=-12x-102.