Consider the scale drawing and actual drawing of an office. A smaller rectangle has a length of 2.5 inches and width of 1.5 inches. A larger rectangle has a length of 5 yards and width of 3 yards. Compare the scale drawing to the actual drawing. What information is needed to find the area? 1. The scale factor is . 2. The area of the scale drawing is . 3. To find the area of the actual drawing, multiply the area of the scale drawing by the of the scale factor

1. The scale factor is 2.

Step-by-step explanation:

5 ÷ 2.5 = 2

3 ÷ 1.5 = 2

2. The area of the scale drawing is 3.75 in^2.

Step-by-step explanation:

1.5 × 2.5 = 3.75

3. The area of the actual drawing is 7.5 in^2.

Step-by-step explanation:

3.75 × 2 = 7.5

1 scale factor 2

Step-by-step explanation:

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