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3 years ago

Using the given information write the equation of parabolas:

Mathematics

1 answer:

lana [24]3 years ago

8 0

The general form of the equation we need to find is (x - h)^2 = 4p(y- k).

The center is the distance between the directrix and focus.

So, center (h, k) = (3, 3/2) .

P = distance from center to the focus and it just so happens to be 1.5.

We now plug everything into the formula given above.

(x - 3)^2 = 4(1.5)(y - 3/2)

(x - 3)^2 = 6(y - 3/2)

Done!

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12 + m < -6 how many solutions

kodGreya [7K]

Answer:

m<−18

Step-by-step explanation:

Step 1: Simplify both sides of the inequality.

m+12<−6

Step 2: Subtract 12 from both sides.

m+12−12<−6−12

m<−18

8 0

3 years ago

Help help help help help

sdas [7]

Draw out a number line with the values 0, 5, 10, 15, 20, 25, 30, etc (basically multiples of 5)

Then plot a point at 25

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

Or you can draw out a number line with the multiples of 10, so with the values 0, 10, 20, 30, ...

Then plot a point at the exact midway point between 20 and 30 to represent the value 25

3 0

3 years ago

Find the x-intercepts of the following parabola. y = -4x2 + 8x + 12

Marta_Voda [28]

B. is the answer dude

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2 years ago

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A box of cereal weighs 12 ounces and costs $2.16. What is the price of the cereal per ounce?

patriot [66]

5.5555 is the answer

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2 years ago

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A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.

Vera_Pavlovna [14]

<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

$V=\frac{1}{6}s^3$

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

$V = \frac{1}{3} a^2h$

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

$h = \frac{1}{2} \times s\\\\h = \frac{s}{2}$

<em><u>Thus the volume of pyramid becomes:</u></em>

$V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}$

$\boxed{V=\frac{1}{6}s^3}$

Thus the formula represents the volume of the pyramid is $\frac{s^3}{6}$

5 0

3 years ago