Answer:
20 square feet
Step-by-step explanation:
Area of a triangle is half the area of a rectangle. (when they have the same length and width!)
To get the area it would be 10 *2 = 20
Step-by-step explanation:
The perimeter of a shape is the length around the edges. For a rectangle with length L and width W:
P = 2L + 2W
Given L = 2x + 3 and W = x – 2, we can substitute:
P = 2(2x + 3) + 2(x – 2)
P = 4x + 6 + 2x – 4
P = 6x + 2
Answer: 11.5 ft
Step-by-step explanation:
The length of the shadow of the building = length of the shadow - distance of the building
= 52 - 32
= 20
Let the height the shadow strike the side of the building be h
then by similar shape rule
h / 20 = 30 / 52
52h = 30 x 20
52h = 600
h = 600/52
h = 11.53846154
h ≈ 11.5
Answer:
f(y) = 4y2 - 4v
f(y) = 4y² - 4(-4) = 4y² + 16
f(y) = 4y² - 4(-3) = 4y² + 12
f(y) = 4y² - 4(-2) =4y² + 8
f(y) = 4y² - 4(-1) = 4y² + 4
Step-by-step explanation:
The slope-intercept form of the linear function is y = m x + b , where m is the slope and b is y-intercept.
Here we have: y = 3 x - 3
a ) When y = 0
0 = 3 x - 3
- 3 x = - 3
x = ( - 3 ) : ( - 3 )
x = 1
When x = 0
y = 3 * 0 - 3
y = - 3
So x - intercept is ( 1, 0 ) and y-intercept is ( 0, - 3 ).
b ) The slope:
m = ( y2 - y1) / ( x2 - x1 ) =
= ( - 3 - 3 ) / ( 5- 7 ) = ( - 6 ) /( - 2 ) = 6 / 2 = 3
Answer: The slope m = 3 .
