Mary Hernandez had a policy with a $500 deductible which paid 80% of her covered charges less deductible. She had medical expens
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Answer:
B. y=1/3x+4
Step-by-step explanation:
Hi there!
We are given the line PQ and we want to find the line that is perpendicular to it
Perpendicular lines have slopes that are negative and reciprocal. When they are multiplied together, the result is -1
So first, let's find the slope of the line PQ
The point P is given as (-8, 7) and the point Q is given as (-4, -5)
The formula for the slope calculated from two points is where (
) and (
,
) are points
We have the needed information for the slope, but let's label the values of the points to avoid any confusion
x1=-8
y1=7
x2=-4
y2=-5
Now substitute into the formula (m is the slope, and remember: the formula contains SUBTRACTION):
m=
simplify
m=
add
m=-12/4
divide
m=-3
So the slope of the line PQ is -3
As said above, perpendicular lines have slopes that have a product of -1
So to find the slope of the line perpendicular to PQ, use this formula:
-3m=-1
divide both sides by -3
m=1/3
The only line that has a slope of 1/3 is B (y=1/3x+4), so B is the answer.
Hope this helps!
Answer:
864 m²
Step-by-step explanation:
- First calculate the total area of the rectangular field
The area of a rectangle is given by the product of the length and the width
let A be the total area
A = 100*120
A = 12000 m²
Calculate the area of the small rectangles
- Let A' be the total area of the four small rectangles and A" the area of one small rectangle
- A' = 4 A"
- A' = 4 [(
)*(
)]
- A' = 4*58*48
- A' = 11136 m²
- Substract the A' from A to get the area of the road
Let A"' be the area of the road
A"' =A-A'
A"' = 12000-11136
A"' = 864 m²