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2 answers:
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Answer:
Step-by-step explanation:
1. Approach
Divide the given figure up into two simple figures, a trapezoid, and a rectangle. Calculate the area of each figure by using their respective area formula. Then add up the results to get the value for the area of the entire figure.
2. Area of the trapezoid
The first figure is a trapezoid, calculate its area by using the following formula,
Where parameters () and (
) represent the base of the trapezoid, and (
) represents the height. Substitute in the given values and solve.
Simplify,
3. Area of the rectangle
The other figure formed by the partition of the two figures is a rectangle. The formula to find the area of a rectangle is the following,
Where () represents the base of the figure, and (
) represents the height of the figure. Substitute in the values for the given parameters and solve,
Simplify,
4. Find the total area
Now add up the values for the area of each figure. The result will be the total area of the figure,
Substitute,
Simplify,
Answer:
B
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
4x + 5y = - 45 ( subtract 4x from both sides )
5y = - 4x - 45 ( divide terms by 5 )
y = - x - 9 ← in slope- intercept form
with slope m = -
Given a line with slope m then the slope of a line perpendicular to it is
= -
= -
=
, then
y = x + c ← is the partial equation
To find c substitute (- 4, - 11 ) into the partial equation
- 11 = - 5 + c ⇒ c = - 11 + 5 = - 6
y = x - 6 → B