Match the scale and the area of the scale drawing to the area of the actual object the drawing represents. scale: 1 inch to 3 feet scale drawing area: 15 square inches scale: 1 inch to 3 feet scale drawing area: 12 square inches scale: 1 inch to 2 feet scale drawing area: 8 square inches scale: 1 inch to 2 feet scale drawing area: 5 square inches actual area scale drawing actual area: 108 square feet actual area: 135 square feet actual area: 32 square feet actual area: 20 square feet

Step-by-step explanation:

We have to match the scale and the area of the scale drawing to the area of the actual object.

For the scale drawing : 1 inch to 'a' feet

then actual area for the scale drawing will be 'a²' times the scale drawing area because area = (side)²

Now we solve the given options.

For the scale drawing : 1 inch to '3' feet

Actual area of 15 square inches scale : (3)²× 15 = 135 square feet

For the scale drawing : 1 inch to '3' feet

Actual area of 12 square inches scale : (3)²× 12 = 108 square feet

For the scale drawing : 1 inch to '2' feet

Actual area of 8 square inches scale : (2)²× 8 = 32 square feet

For the scale drawing : 1 inch to '2' feet

Actual area of 5 square inches scale : (2)²× 5 = 20 square feet

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

27 + 13x + 15 = (x + 5)( =

step-by-step explanation:

27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( = 27 + 13x + 15 = (x + 5)( =