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Naddik [55]
3 years ago
12

The figure shown is made up of a square and a triangle. Express the area of the figure in terms of y.

Mathematics
1 answer:
Doss [256]3 years ago
8 0

Answer:

y^2+2y

Step-by-step explanation:

The area of a square can be found by s^2 and the area of a triangle can be found by \frac{1}{2}b*h.

The area of the square with side length y is y^2.

The area of the triangle with the base 4 and height y is \frac{1}{2}4*y = 2y

Adding the areas together gives y^2+2y

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2 years ago
two trains leave the station at the same time one heading west and the other East the westbound train travels at 55 miles per ho
Diano4ka-milaya [45]
Recall your d = rt, distance = rate * time

so... one train goes west and the goes the opposite way... alrite... so... notice, by the time 338 miles have been covered by both, it will have been "t" hours, and whatever "t" is, is the same amount of time the westbound train has been running as well as the eastbound train has been running.

now, let's say, since by "t" hours they've covered 338 altogether, so, if the westbound train has covered say "d" miles, then the eastbound train would have covered the slack from 338 and d, that is, "338 - d".

\bf \begin{array}{lccclll}
&\stackrel{miles}{distance}&\stackrel{mph}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Westbound&d&55&t\\
Eastbound&338-d&75&t
\end{array}
\\\\\\
\begin{cases}
\boxed{d}=55t\\
338-d=75t\\
----------\\
338-\boxed{55t}=75t
\end{cases}
\\\\\\
338=75t+55t\implies 338=130t\implies \cfrac{338}{130}=t\implies \stackrel{hours}{2.6}=t

so, 2hours and 36 minutes.
8 0
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