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Katyanochek1 [597]
2 years ago
6

Write the equation for a parabola with a focus at ( 7, 2) and a directrix at y = -2 y = ?

Mathematics
1 answer:
horrorfan [7]2 years ago
5 0
A parabola with an equation, y2 = 4ax has its vertex at the origin and opens to the right.
It's not just the '4' that is important, it's '4a' that matters.
This type of parabola has a directrix at x = -a, and a focus at (a, 0). By writing the equation as it is, the position of the directrix and focus are readily identifiable.
For example, y2 = 2.4x doesn't say a great deal. Re-writing the equation of the parabola as y2 = 4*(0.6)x tells us immediately that the directrix is at x = -0.6 and the focus is at (0.6, 0)
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The table shows the height, in centimeters, that a weight bouncing from a spring would achieve if there were no friction, for a
Paha777 [63]
Hello! For ease of calculations, we can identify the time it took for the weight to bounce back to the other direction, then the other, and then back to its original position by looking at the time it took for the weight to change from 0 to 25 to 0 to -25 then back to 0. This is one whole cycle of the weight.

By the time the weight first reached zero, 1.5 seconds has passed. By the third time it got to zero again, 7.5 seconds has passed. Therefore, one whole cycle of the weight is 7.5-1.5 = 6.0 seconds.

ANSWER: One whole cycle of the weight took 6 seconds.
4 0
3 years ago
If f(x) = x^2 -5x +1 and g(x) =5x+4 what is the value of g•f (-2)
Arlecino [84]

Answer:

The value of gof (-2)=79

Step-by-step explanation:

We have

f(x) = x^2 -5x +1 \\\\f(-2) = (-2)^2 -5\times-2 +1 \\\\=15

Now we need to find

gof (-2)=g(15)

g(15) =5\times15+4\\\\=79

5 0
2 years ago
A necklace found at a pawn shop is 192 grams and has a volume of 19.5 cubic centimetres. What metal is the necklace made of?
Sophie [7]

Answer:

we divide 192 by the volume 19.5

192÷19.5=9.85 so the necklace is made of bronze

8 0
3 years ago
Arrange and write the integers in decreasing order -47, -82, 77, -48
Travka [436]
Decreasing order : 77 ,-47 ,-48 ,-82
6 0
3 years ago
3(10 - x) = 21<br> 30 -<br> 21<br> 30 - 3x<br> = 21<br> - 3x<br> - 3x<br> -9<br> =<br> X =
xxMikexx [17]

Answer:

x=3

hope this answers is ok na

3 0
3 years ago
Read 2 more answers
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