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lapo4ka [179]
3 years ago
13

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
2 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
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