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Lelu [443]
3 years ago
5

Which is the area of a square with one side that measures 1 foot? A. 1 square inch B. 100 square inches C. 144 square inches D.

none of the above
Mathematics
1 answer:
cluponka [151]3 years ago
6 0

Answer:

Option C. 144 square inches is the correct answer.

Step-by-step explanation:

We have been given a square with one side with a measurement of 1 foot and we have to calculate the area in square inches.

First we know that 1 foot of length = 12 inches on scale

Therefore side of the square is 12 inches

Now the area of the square will be = (Side×Side) = (Side)²

                                                          = (12)² = 144 square inches.

So the area of the square will be 144 square inches.

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A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a
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Answer:

y=-\dfrac{13}{49}x^2

Step-by-step explanation:

The shape of an arch corresponds to a parabola.

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we're given three coordinates: (-7,-13),(7,-13) and (0,0)

so we can plug these values in the general equation to make 3 separate equations:

(x,y) = (-7,-13)

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(x,y) = (7,-13)

-13=a(7)^2+b(7)+c

49a+7b+c=-13

(x,y) = (0,0)

0=a(0)^2+b(7)+c

c=0

so we have three equations. and we can solve them simultaneously to find the values of a,b, and c.

we've already found c = 0, let's use substitute it to other equations.

49a-7b+c=-13\quad\Rightarrow\quad49a-7b=-13

49a+7b+c=-13\quad\Rightarrow\quad49a+7b=-13

we can solve these two equation using the elimination method, by simply adding the two equations

\quad\quad49a-7b=-13\\+\quad49a+7b=-13

------------------------------

\quad\quad 98a=-26

\quad\quad a=-\dfrac{13}{49}

Now we can plug this value of a in any of the two equations.

49a-7b=-13

49\left(-\dfrac{13}{49}\right)-7b=-13

-13-7b=-13

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b=0

We have the values of a,b, and c. We can plug them in the general equation to find the equation of the arch.

y=\left(-\dfrac{13}{49}\right)x^2+0x+0

y=-\dfrac{13}{49}x^2

49y=-13x^2

This our equation of the arch!

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