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vampirchik [111]
3 years ago
6

What are the coefficients in the expression -8y² + 12x + 5y 7?

Mathematics
1 answer:
kow [346]3 years ago
5 0
<span> Coefficients are numbers used to multiply a variable.
IN this case, the coefficients are -8, 12 and 5.

</span>
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Find the equation of a parabola with a focus at (0,-1) and a directrix at y = 4.
Anastasy [175]

Answer:

  y = -1/10x^2 +2.5

Step-by-step explanation:

The distance from focus to directrix is twice the distance from focus to vertex. The focus-directrix distance is the difference in y-values:

  -1 -4 = -5

So, the distance from focus to vertex is p = -5/2 = -2.5. This places the focus 2.5 units below the vertex. Then the vertex is at (h, k) = (0, -1) +(0, 2.5) = (0, 1.5).

The scale factor of the parabola is 1/(4p) = 1/(4(-2.5)) = -1/10. Then the equation of the parabola is ...

  y = (1/(4p))(x -h) +k

  y = -1/10x^2 +2.5

_____

You can check the graph by making sure the focus and directrix are the same distance from the parabola everywhere. Of course, if the vertex is halfway between focus and directrix, the distances are the same there. Another point that is usually easy to check is the point on the parabola that is even with the focus. It should be as far from the focus as it is from the directrix. In this parabola, the focus is 5 units from the directrix, and we see the points on the parabola at y=-1 are 5 units from the focus.

5 0
3 years ago
1
Gnoma [55]

Answer:

A

Step-by-step explanation:

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3 0
3 years ago
Simply 3/4s - (6 - 3/4s)
Stolb23 [73]

Answer:  3/2 s-6

hope i helped

if you can give me brainliest that would be great

8 0
3 years ago
Read 2 more answers
You go to a restaurant with 3 friends the total bill is 90 you pay 6% tax and add 20% tip what do you pay
pshichka [43]
$90 ×.06=5.40
$95.40×.20=19.08
95.40+19.08=114.48
114.48/3=38.16
Each person pays 38.16
check your work 38.16×3=$114.48

You pay $38.16 for your bill unless your friends stiff you.
3 0
3 years ago
Answer All The Questions
adell [148]

Answer:

Step-by-step explanation:

From the attachment, we can see that

<EBF = 33°

<EBD = 33°

<FED = 114°

<FBD = 66°

Part 2

The value of y is either of 70 or -80. But then, we all know that speed can not be negative, so the speed was 70 km/h

The return speed is y + 10 = 70 + 10 = 80 km/h

Total time = 350/70 + 350/(70+10)

Total time = 5 + 4.375

Total time = 9.375 hr

5 0
3 years ago
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