What is the surface area of the figure?

24 is what I got

Just find the are of each shape and add the answers together to get the total area of the figure

24 cm²

Step-by-step explanation:

start by calculating the areas separately :

first

for the  triangle= (3x4)/2 = 6 cm²

for the rectangle we will first calculate it's length (L)

L= 8-4=4 cm

the area will be = 4x3 = 12 cm²

for the smaller rectangle we will have as below:

1.5x4=6 cm²

the surface area of the figure is the sum of the areas calculated above:

Area of the figure= 6+12+6= 24 cm²

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

answer: entity is prob the answer

step-by-step explanation: