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djverab [1.8K]
3 years ago
5

What is the simplified answer?

Mathematics
1 answer:
Pavel [41]3 years ago
4 0

The first choice is true I think

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The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?
mart [117]
Focus has coordinates (0, a)
a = -3
Thus, 4a = 4(-3) = -12

Because a is negative, we know it will be a concave down or concave left parabola. Hence, A and D can be eliminated. And we know it has to be B because the directrix is the horizontal line y = 3. Hence, the equation of the parabola becomes:

x^{2} = -12y or y = -\frac{1}{12}x^{2}
5 0
3 years ago
Two numbers less than 8 that<br> have 3 as their GCF
Anarel [89]

Answer:

3 and 6

Step-by-step explanation:

GCF's or greatest common factors of numbers 1 to 8

1 : 1

2 : 1, 2

3: 1 , 3

4 : 1, 2, 4

5 : 1, 5

6 : 1, 2, 3, 6

7 : 1, 7

8 : 1, 2, 4, 8

3 and 6 have 3 as their GCF

4 0
3 years ago
9 Questions/45 points
Finger [1]
You have a lot of questions here, try breaking them up into multiple posts and you may get more responses.

I will help with some.

<span>(x+3)=0

The solution is just -3.
-----------------------------------------------------------------
3m(m-4)=0

The two solutions are 0 and 4.
-----------------------------------------------------------------
(r-3)(r+2)=0

The two solutions are and 3 and -2.
</span>
I hope this gets you started in the right direction.


3 0
3 years ago
David was trying to sleep one night but there was too much noise around him? His clock ticked every 5 seconds , a tap was drippi
Monica [59]

Answer:

A) 420 seconds = 7 minutes

B) 8 times

Step-by-step explanation:

A) After how many second would all three things happen together again?

Solution:

His clock ticked every 5 seconds , a tap was dripping every 7 seconds and     his pet dog snored every 12 seconds. It all happens simultaneously = 5*7*12=420 seconds

B) How many times would all three things happen together again between    midnight and one o'clock

Since all these events happen together after every 420 sec = 7 mins and there are 60 mins between midnight and 1 o'çlock , thus 60/7 = 8 times ....

7 0
4 years ago
Check wether the given value is the solution to the equation<br><br> 3(y+8)=2y-6 y=30
erma4kov [3.2K]
30+8*3=114 2y-6=56.... I think your answer would be 170 but I'm not completely sure
4 0
4 years ago
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