8. The length of the hypotenuse of a right
triangle measures 2.5 inches. If one leg
measures 1.5 inches, what is the length
of the other leg?

4

Step-by-step explanation:

The formula we want to use for this is leg^2 + leg^2 = Hypotenuse^2

Let’s make x the other leg length since that’s what we are trying to find.

So it should look like this

Equation: 1.5^2 + x^2= 2.5^2

1) lets square them

2.25 + x^2 = 6.25

2) let’s get x^2 by itself so what we will do is subtract 2.25 from both sides

X^2 = 4

3) we need to remove the exponent from x so what we would do is put a radical on 4 and since we need to get four out of the radical, we need two of the same numbers that multiply to get four with is 2 because

2x2=4

4) so ur answer would be 2

X=2

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b