PLEASE HELP AS. AP I WILL D. IE THIS IS MY LAST CALL FOR HELP (30 POINTS) PLEASE SHOW ALL WORK !!! its really easy I'm just d. umb

1. Write the equation of the line that passes through the point (5, 1) and is parallel to the line y = -3/5x - 5. SHOW ALL WORK

2. Write the equation of the line that passes through the point (4, 5) and perpendicular to the line y = -4/5x + 4. SHOW ALL WORK

3. Write the equation of the line that passes through the point (2, -3) and is perpendicular to the line y = 2x + 1. SHOW ALL WORK

4. Write the equation of the line that passes through the point (4, -4) and is perpendicular to the line y = -4x - 4. SHOW ALL WORK

5. Write the equation of the line that passes through the point (4, -2) and is perpendicular to the line y = 2/3x + 2. SHOW ALL WORK

PLEASE HELPPP
WILL GIVE BRAINLIEST!!

3

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form

step-by-step explanation: