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Marina86 [1]
3 years ago
6

Which expression is a monomial? A. x2-2x+3 B. 3x C. 3/x

Mathematics
1 answer:
Flura [38]3 years ago
6 0
The answer is B. 3x.
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Write the equation for a parabola with a focus at (6,-4) and a directrix at y= -7
shtirl [24]

Given:

The focus of the parabola is at (6,-4).

Directrix at y=-7.

To find:

The equation of the parabola.

Solution:

The general equation of a parabola is:

y=\dfrac{1}{4p}(x-h)^2+k                  ...(i)

Where, (h,k) is vertex, (h,k+p) is the focus and y=k-p is the directrix.

The focus of the parabola is at (6,-4).

(h,k+p)=(6,-4)

On comparing both sides, we get

h=6

k+p=-4                            ...(ii)

Directrix at y=-7. So,

k-p=-7                            ...(iii)

Adding (ii) and (iii), we get

2k=-11

k=\dfrac{-11}{2}

k=-5.5

Putting k=-5.5 in (ii), we get

-5.5+p=-4

p=-4+5.5

p=1.5

Putting h=6, k=-5.5,p=1.5 in (i), we get

y=\dfrac{1}{4(1.5)}(x-6)^2+(-5.5)

y=\dfrac{1}{6}(x-6)^2-5.5

Therefore, the equation of the parabola is y=\dfrac{1}{6}(x-6)^2-5.5.

4 0
2 years ago
Pls help me I don’t know I just need 5 and 6 to be answered
Vlada [557]

Answer:

5. Mark had 6 laps and John has 42 laps. So you could do a sentence like: John has 42 laps and Mark has 6 laps. What is the diffrence between the two laps?

6. Im not sure about this one :/. Im truly sorry. :(. Good luck tho!

Step-by-step explanation:

6 0
2 years ago
Given the zeros 7, -1, 9 what are the factors
MrRissso [65]
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4 0
3 years ago
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A sum of 17 and a difference 3
sleet_krkn [62]
It would be 9-6=3 and 9+6=17 hope this help
6 0
3 years ago
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Rewrite y = 2x + 1 in function notation.
Arada [10]
 f(x) = 2x - 7 This should be the answer!!
8 0
3 years ago
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