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Ipatiy [6.2K]
3 years ago
12

Which of the following is the equation of a parabola with the focus at (0, 3/4) and the directrix y = -3/4?​

Mathematics
1 answer:
JulsSmile [24]3 years ago
5 0

Answer:

do you have the picture I actually understand it if I see it in pictures .

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What are the coordinates of the vertex of the parabola described by the equation below? y=7(x+5)^2-4
Ipatiy [6.2K]

Answer:

y= 7(x+5)^2 -4

The vertex form for a parabola is given by this expression:

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

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

Step-by-step explanation:

For this case we have the following function:

y= 7(x+5)^2 -4

And we need to take in count that the vertex form for a parabola is given by this expression:

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

By direct comparison we see that for this case:

a = 7, h = -5 and k=-4

And we know from the general expression that the vertex is:

V= (h,k)

So then the vertex for this case is:

V= (-5,-4)

4 0
3 years ago
In the United States nearly 8 x 10^9 text messages are sent everymonth About how many text messages is this! Find the primefacto
iris [78.8K]
8\times10^9=2^{12}\times5^9

1) Since in the USA 8 x 10 ^9 messages are sent every month, that means that approximately 8 billion messages are sent.

2) We can Prime factorize it:

Note that on the right side we've picked only prime numbers. In this case, 2 and 5.

So we can rewrite 8 x 10^9 as prime factors.

8\times10^9=2^{12}\times5^9

3) Hence, the answer is:

8\times10^9=2^{12}\times5^9

7 0
1 year ago
If Ray earns $120 for 15 hours of work how much will he earn for 20 hours of work at the same rate​
Free_Kalibri [48]
Find his rate:
120 / 15 = $8 per hour
Multiply the rate by hours:
$8 x 20 hours = $160
He will earn $160
8 0
3 years ago
Robin can clean 72 rooms in 6 days how many can he clean in 9 days
Monica [59]
Let's put it this way. 
It's a ratio of 6:72 and we need to change it in a way to find number of rooms cleaned in 9 days.

Divide 6 & 72 both by 2
Ratio is now 3:36

Multiply 3 & 36 both by 3
Ratio is now 9:108

The number of rooms in which Robin can clean in 9 days is 108 rooms. 
3 0
3 years ago
Read 2 more answers
Consider the circles shown. Circle A has a radius of 6 inches. Circle B has a radius 20% greater than
butalik [34]

Answer:

Answer should be D and E

Step-by-step explanation:

First, you need to figure out the radius of B.

As radius of A is 6 in, 20% of 6in would be 1.2in. So total radius of B = 6+1.2 = 7.2

Now you get the radius of B, calculate th area of B using the formula πr^2.

= π(7.2)^2 = 162.86 = area of B

Now, all answers except D and E is smaller than B. So, the answer would be D and E.

5 0
3 years ago
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