CAN I GET SOME HELP PLEASE?

m = 8

n = 9

Step-by-step explanation:

Remark

By similar triangles

(m - 4) /8 = 8 / 2m             Cross multiply

2m(m - 4) = 64                  Expand the left

2m^2 - 8m = 64                Divide through by 2

m^2 - 4m = 32                   Subtract 32 from both sides.

m^2 - 4m - 32 = 0             Factor

(m - 8)(m + 4) = 0

m + 4 has no meaning in geometry. - numbers cannot be distances.

m - 8 = 0

m = 8

By the same kind of similar triangles used in problem A we get

7 / x = x / 9

x^2 = 63

Just leave this as it is. We'll solve this by the Pythagorean Theorem.

x^2 + 9^2 = (n + 3)^2

63 + 81 = (n + 3)^2

144 = (n + 3)^2                   Take the square root of both sides

12 = n + 3                           Subtract 3 from both sides.

9 = n

536

step-by-step explanation:

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