Answer:
(f+g)(x) = 2x-3
(k+g)(x) = 3x-3
(f-k)(x) = -x
(k-g)(x) = x+3
Step-by-step explanation:
(f+g)(x)
x + x - 3
2x - 3
(k+g)(x)
2x + x - 3
3x - 3
(f-k)(x)
x - (2x)
-x
(k-g)(x)
2x - (x - 3)
2x - x + 3
x + 3
Answer:
Step-by-step explanation:
Given:
Two points are given
x = number of minutes
y = length of the lin
⇒ (0, 6)
⇒ (20, 17)
We need to find the equation that represents the relationship between x, y.
Solution:
Using slope formula to find the slope of the equation of the line.
Substitute = (0, 6) and = (20, 17) in above equation.
So, slope of the line
Using point slope formula.
------------(1)
Where, m = slope of the line
Substitute ⇒ (0, 6) and in equation 1.
Add 6 both side of the equation.
Therefore, the equation that represents the relationship between x and y is written as:
Answer:Area of the lawn is 1725 ft^2
Step-by-step explanation:
The yard is in the shape of a trapezoid. The area of the lawn can be determined by finding the area of the trapezoid. The formula for determining the area of a trapezoid is expressed as
Area of trapezoid =
1/2(a + b)h
Where
a is the length of one of the parallel sides of the trapezoid
b is the length of the other parallel side of the trapezoid.
h is the perpendicular height of the the trapezoid.
From the diagram,
a = 50 feet
b = 65 feet
h = 30 feet
Area of the lawn = 1/2(50 + 65)× 30
= 1/2 × 115 × 30 = 1725 ft^2