A road sign consists of a triangle, with a base of 10 feet, sitting directly atop a rectangle, which has a width of 10 feet. The triangle's height is 4 feet, and the rectangle's height is 8 feet. What is the total area of the sign, in square feet?
Select the correct answer below:
32
a
60
80
100
120

Step-by-step explanation:

Given

Triangle

Rectangle

Required

Determine the area of the sign

First, we calculate the area of the triangle (A1)

Next, we calculate the area of the rectangle (A2)

The area of the sign is then calculated as:

i think it might be a but you might want a second opinion

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