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3 years ago

9

Using the given information write the equation of parabolas:

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!

You might be interested in

The polygons are similar. Find x and y. The images are not drawn to scale.

Alja [10]

The correct answer to this question is letter "D. x = 21, y = 14."
18 : 12
27 : x - 3
24 : y + 2

18 / 12 = 27 / x - 3
3 / 2 = 27 / x - 3
54 = 3x - 9
3x = 54 + 9
3x = 63
x = 21

18 / 12 = 24 / y + 2
3 / 2 = 24 / y + 2
48 = 3y + 6
3y = 48 - 6
3y = 42
y = 14

8 0

3 years ago

Read 2 more answers

The blood cholesterol levels of men aged 55 to 64 are approximately normally distributed with mean 222 mg/dl and standard deviat

tatiyna

Answer:

It is provided that 10% of the men aged 55 to 64 have cholesterol level <u>270 mg/dl</u> or higher.

Step-by-step explanation:

Let <em>X</em> = blood cholesterol levels of men aged 55 to 64 years.

The random variable <em>X</em> follows a Normal distribution with mean <em>μ</em> = 222 mg/dl and standard deviation <em>σ</em> = 37 mg/dl.

It is provided that 10% of the men aged 55 to 64 have cholesterol level <em>x</em> mg/dl or higher.

Compute the value of <em>x</em> as follows:

$P(X\geq x)=0.10\\P(\frac{X-\mu}{\sigma}\geq \frac{x-222}{37})=0.10\\P(Z\geq z)=0.10\\1-P(Z$

Use the <em>z</em>-table to compute the value <em>z</em> for the probability 0.90.

The value of <em>z</em> is 1.29.

Compute the value of <em>x</em> as follows:

$z=\frac{x-\mu}{\sigma}\\1.29=\frac{x-222}{37} \\x=222+(1.29\times37)\\=269.73\approx270$

Thus, 10% of the men aged 55 to 64 have cholesterol level 270 mg/dl or higher.

3 0

3 years ago

Find the solutions of the following equations by extracting square roots 9x2-16=0 (z-2)2-36=0

natta225 [31]

The solutions of the equation $9x$ ² - 16 = 0is 4/3 and -4/3 and that of the equation $(z - 2)^{2} - 36 = 0$ is 8 and -4.

Solving the both quadratic equations by extracting square roots:

$9x^{2} - 16 = 0$

⇒ $9x^{2} = 16$

∴ On taking square-root of both sides, we get

$\sqrt{9x^{2} }$ = $\sqrt{16}$

⇒ $3x =$ $+4$ and $3x = -4$

⇒ $x$ = 4/3 and $x$ = -4/3

For the equation, $(z - 2)^{2} - 36 = 0$ , the solution is:

$(z - 2)^{2} - 36 = 0$

⇒ $(z - 2)^{2} = 36$

∴ On taking square-root of both sides, we get

$\sqrt{(z - 2)^{2} } = \sqrt{36}$

⇒ (z - 2) = 6 and (z - 2) = -6

⇒ z = 6 +2 and z = -6 + 2

⇒ z = 8 and z = -4

The solution of the equation $9x^{2} - 16 = 0$ is 4/3 and -4/3.

The solution of the equation $(z - 2)^{2} - 36 = 0$ is 8 and -4.

For similar equation, visit here:

brainly.com/question/18397338

#SPJ4

7 0

2 years ago

Which expression does the graphic represent? 8 positive tiles. 1 tile is crossed out. 7 minus 1 7 minus (negative 1) 8 minus 1 8

Tanzania [10]

Answer:

7-(-1)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

An Euler Circuit is:

AlladinOne [14]

A path that uses each edge of a graph exactly once and ends at the starting vertex

Step-by-step explanation:

Euler path - uses every edge of a graph exactly once
Euler circuit - uses every edge of a graph exactly once
Euler path - starts and ends at different vertices
Euler circuit - starts and ends at the same vertex

6 0

3 years ago