(Score for Question 1:___ of 4 points) 1. What is the value of x? Show all of your work.
A
x cm
1117 cm
w
B
6 cm
С

9 cm

Step-by-step explanation:

Because the triangle in the picture is a right angle triangle, we can use the Pythagorean theorem to solve the unknown side.

The Pythagorean states that if you take the legs of a right triangle and square them and add them up, they will equal the hypotenuse squared.

In a mathematical equation:

In this problem, we know the length of one leg and we know the length of the hypotenuse.

The variables a and b in the equation  are the legs. So, they are interchangeable. But the c variable is the hypotenuse.

Plug in the values.

Solve for b.

b = 9

So, the unknown side is 9 cm long.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is