Answer:
StartFraction 50 miles Over 1 hour EndFraction = StartFraction 200 miles Over question mark hours EndFraction
Step-by-step explanation:
For constant speed, miles and hours are proportional. One possible equation is ...

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<em>Comment on the solution</em>
I personally like to put the unknown in the numerator, so the equation can be solved in one step. The equation above requires two steps: one to cross-multiply, and one to divide by 50.
I might write the equation as ...
(? hours)/(200 mi) = (1 hour)/(50 mi) . . . . multiply by 200 mi to solve
Another way to write the equation is matching the ratios of times to corresponding miles:
(? hours)/(1 hour) = (200 mi)/(50 mi)
This only requires simplification to solve it: ? = 4.
Answer:
The equation of the graph is y=x-20
Step-by-step explanation:
Let

using a graphing tool
see the attached figure to better understand the problem
we know that
Parallelogram is a quadrilateral with opposite sides parallel and equal in length
so

The area of a parallelogram is equal to

where
B is the base
h is the height
the base B is equal to the distance AB
the height h is equal to the distance AE
Step 1
<u>Find the distance AB</u>
the formula to calculate the distance between two points is equal to


substitute the values



Step 2
<u>Find the distance AE</u>
the formula to calculate the distance between two points is equal to


substitute the values



Step 3
<u>Find the area of the parallelogram</u>
The area of a parallelogram is equal to


substitute the values

therefore
<u>the answer is</u>
the area of the parallelogram is 