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3 years ago

A general formula for a parabola is x2 = 4py. What is the value of p in the equation x2 = 12y? p =

Mathematics

1 answer:

stepladder [879]3 years ago

5 0

Answer:

p=3

Step-by-step explanation:

The given parabola has equation ;

$x^2=12y$

The general formula for a parabola is;

$x^2=4py$

To find the value of p, we need to compare the coefficient of y in both equations;

$\implies 4p=12$

Divide both sides by 4;

$\implies p=\frac{12}{4}$

$\implies p=3$

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Parker signed up for a streaming music service that costs $6 per month. The service

TEA [102]

Answer:

Parker will have to pay $31 in a month in which he downloaded 50 songs.

Total amount Parker will pay for s songs = 6 + 0.50s

Step-by-step explanation:

Cost per month = $6

Cost of Offline download = $0.50 per song

A. How much total money would

Parker have to pay in a month in which he downloaded 50 songs?

Total amount Parker will pay = $6 + $0.50(50)

= 6 + 25

= $31

Parker will have to pay $31 in a month in which he downloaded 50 songs.

B. How much would

he have to pay if he downloaded s songs?

Total amount Parker will pay for s songs = $6 + $0.50 * s

= $6 + $0.50s

Total amount Parker will pay for s songs = 6 + 0.50s

7 0

3 years ago

Find the degree measure of each angle in the triangle.

Alex777 [14]

Answer:

∠R = 56°
∠Q = 90°
∠S = 34°

Step-by-step explanation:

The given triangle is a right angled triangle.

So, the angles in the triangle are :

90°
(2x + 38)°
(5x - 11)°

Solving according to <u>angle sum property</u>,

Sum of all angles in a triangle is 180°

$\longrightarrow$ 90° + (2x + 38)° + (5x - 11)° = 180°

$\longrightarrow$ 117° + 7x = 180°

$\longrightarrow$ 7x = 180° - 117°

$\longrightarrow$ 7x = 63°

$\longrightarrow$ x = 9

Angles =

$\longrightarrow$ 2(9) + 38

$\longrightarrow$ 56°

$\longrightarrow$ 5(9) - 11

$\longrightarrow$ 34°

∠R = 56°
∠Q = 90°
∠S = 34°

The angles are 56°, 90° and 34°.

4 0

3 years ago

Find the distance between points A (5.-7) and B (-3,-4)

Strike441 [17]

It would help if you had a four quadrant graph, but the distance would be (8,11).

7 0

3 years ago

Mike and Julie surveyed students to determine how many had a grade of A in math. They recorded their findings for each survey in

grin007 [14]

20/4 = 5

40/8 = 5

60/12 = 5

80/16 = 5

Answer is 5

6 0

3 years ago

Read 2 more answers

Please help!! I need the answer to the question in the picture!!!!

zloy xaker [14]

Answer:

$\large\boxed{D.\ x=-2(y+3)^2-1}$

Step-by-step explanation:

The equation of a horizontal parabola in the standard form:

$x=a(y-k)^2+h$

(h, k) - vertex

if a > 0, then open right

if a < 0, then open left

We have the vertrex (-1, -3) and the parabola is open left (a < 0).

Therefore the equation of a given parabola could be:

$x=-2(y-(-3))^2+(-1)=-2(y+3)^2-1$

8 0

3 years ago