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3 years ago

13

The area of a square with sides of 2 feet is 4 square feet. The area of a square with sides of 4 feet is 16 square feet. What eq

uation fits this data?

1 answer:

sattari [20]3 years ago

3 0

X^2=area of a square

x squared equals the area of a square

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A parabola with the vertex at (1.5, 12.5) inscribes a segment of length 5 on x-axis. What is the area of the triangle formed by

damaskus [11]

Answer:

20 units²

Step-by-step explanation:

The x-intercepts are symmetrically located around the x-coordinate of the vertex, so are at

1.5 ± 5/2 = {-1, 4}

Using one of these we can find the unknown parameter "a" in the parabola's equation (in vertex form) ...

0 = a(4 -1.5)² +12.5

0 = 6.25a +12.5 . . . . . simplify

0 = a +2 . . . . . . . . . . . divide by 6.25

-2 = a

Then the standard-form equation of the parabola is ...

y = -2(x -1.5)² +12.5 = -2(x² -3x +2.25) +12.5

y = -2x² +6x +8

This tells us the y-intercept is 8. Then the relevant triangle has a base of 5 units and a height of 8. Its area is given by the formula ...

A = (1/2)bh = (1/2)(5)(8) = 20 . . . . units²

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3 years ago

the distance from earth to mars is about 35,000,000 miles. What is the order of the magnitude of this number?

Ksju [112]

First we write it into scientific notation which is 3.5*10^7. now it's order of magnitude is power of 10 that is 7. So order is 7.

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3 years ago

A brick wall will be shaped like a rectangular prism. The wall needs to be 3ft tall and the builders have enough bricks for the

faltersainse [42]

Answer:

For a rectangular prism that has a base area B, and a height H, the volume is:

V = B*H

This is the only "tool" that we need to use in this situation.

We know that the wall needs to be 3ft tall, then H = 3ft

And we also know that we have enough bricks for a wall of a volume:

V = 330 ft^3

If we replace these two in the volume equation, we get:

330ft^3 = B*3ft

Now we can solve this for B, and thus find the volume of the base of the wall.

To do it, we just need to divide both sides by 3ft

(330 ft^3)/3ft = B*3ft/3ft

110 ft^2 = B

This means that the area of the base is 110ft^2

As the base is a rectangle of width W and length L, we must have:

110ft^2 = B = L*W

Then the possible measures of the base are given by the linear relation:

L = 110ft^2/W

Where we also need to add some trivial restrictions, like:

L > 0 ft

W > 0ft

This only means that we can not have a length or width equal to or smaller than zero, as those do not have physical sense.

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3 years ago

How do I use 7,6,5,3 to make 75

Gennadij [26K]

(7+5) x 6 +3

or 3+ (7+5) x 6

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3 years ago

What is the area of the shaded section?

Ray Of Light [21]

Answer:

270cm squared

area of shaded part rectangle is 180

are of triangle is 48 and 42 respectively you add the three to get 270

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3 years ago