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OLEGan [10]
3 years ago
9

The focus of a parabola is (0, -3) and the directrix is y = 3. What is the equation of the parabola?

Mathematics
1 answer:
mart [117]3 years ago
5 0
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}
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What is 2+6*5/8 ? I need help with this math problem , thank you.
vampirchik [111]

Hey.

I hope that you're familiar with P.E.M.D.A.S :)

applying PEMDAS :

2 + 6 × 5 ÷ 8

2 + 30 ÷ 8

32 ÷ 8 = 4

Hence, The required answer is 4

Thanks.

8 0
3 years ago
Read 2 more answers
Solve for p. 3/5(p - 3) = -4
VashaNatasha [74]

Answer:

p = 3.6666(repeating)

Step-by-step explanation:

3/5(p-3)=-4

We simplify the equation to the form, which is simple to understand  

3/5(p-3)=-4

Simplifying:

+ 0.6*(p-3)=-4

Reorder the terms in parentheses

+( + 0.6p-1.8)=-4

Remove unnecessary parentheses

+ 0.6p-1.8=-4

We move all terms containing p to the left and all other terms to the right.  

+ 0.6p=-4+1.8

We simplify left and right side of the equation.  

+ 0.6p=-2.2

We divide both sides of the equation by 0.6 to get p.  

p=-3.66666666667

4 0
3 years ago
Describe why a square is always a rhombus but a rhombus is not always a square. Your answer should be a paragraph with at least
nasty-shy [4]
A parallelogram<span> is a </span>quadrilateral<span> with two pairs of opposite sides parallel. A </span>square<span> is a </span>rhombus<span> with all the angles equal which has a value of 90°. However, a rhombus is not always a square because it can have different value of interior angles. Hope this answers the question.</span>
3 0
3 years ago
the sum of two numbers is zero. when 15 times the smaller numbers is added to 10 times the larger, the result is 1. find the two
EleoNora [17]

We have two numbers say a, b. And a system of equations.

a+b=0\wedge\dfrac{a+b}{15}+10(a+b)=1

It looks a bit intimidating but it's actually very easy.

Instead of term a + b in the second equation we can say it's zero because the first equation describes a + b as being equal to 0.

So,

\dfrac{0}{15}+10\cdot0=1\Longrightarrow 0+0=1

The above equation is not true therefore numbers a and b do not exists in the real number domain.

a,b\notin\mathbb{R}

No solution.

Hope this helps.

7 0
3 years ago
Part to of 3/7 x 48 =
Ipatiy [6.2K]

Answer:

20.5

Step-by-step explanation:

u have the answer it shouldnt be difficult for u to solve for 3/7 x 48

8 0
2 years ago
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