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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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Please help!

Mrrafil [7]

Answer:

$\sf C. \quad \dfrac{1}{9}$

Step-by-step explanation:

<u>Addition Law for Probability</u>

$\sf P(A \cup B)=P(A)+P(B)-P(A \cap B)$

Given:

$\sf P(A)=\dfrac{1}{3}=\dfrac{3}{9}$

$\sf P(B)=\dfrac{2}{9}$

$\sf P(A \cup B)=\dfrac{4}{9}$

Substitute the given values into the formula and solve for P(A ∩ B):

$\implies \sf P(A \cup B) = P(A)+P(B)-P(A \cap B)$

$\implies \sf \dfrac{4}{9} = \sf \dfrac{3}{9}+\dfrac{2}{9}-P(A \cap B)$

$\implies \sf P(A \cap B) = \sf \dfrac{3}{9}+\dfrac{2}{9}-\dfrac{4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{3+2-4}{9}$

$\implies \sf P(A \cap B) = \sf \dfrac{1}{9}$

4 0

2 years ago

Read 2 more answers

Please help me.......

Georgia [21]

Answer:

sorry

.......... ................

8 0

3 years ago

the perimeter of a rectangle is 62 feet.if the width of the rectangle is 19ft. what is the length of the rectangle

denis23 [38]

Perimeter = 2(l+w) or 2(length+width)

So far you have the width, which is 19feet. Since you have two sides of the rectangle which are 19 feet, add 19+19=38

Subtract 62-38 to get 24.

You now have the length of both of the sides combined. So you need to divide 24/2 = 12
The length of the rectangle = 12ft.

6 0

3 years ago

Read 2 more answers

If 38 = 11 + 3x, what is the value of x ?

Serhud [2]

Answer:

38-11=3x

27=3x

27/3=x

x=9

3 0

3 years ago