2 years ago

What is the equation of the parabola, in vertex form, with vertex at (-2,-4) and

Mathematics

1 answer:

Arlecino [84]2 years ago

8 0

Answer:

Step-by-step explanation:

The distance between the vertex and the directrix is 4 units, that means that p = 4 in the equation

$(y-k)^2=4p(x-h)$ and h and k are the coordinates of the vertex. Filling in:

$(y+4)^2=4(4)(x+2)$ which simplifies to

$(y+4)^2=16(x+2)$ choice C

You might be interested in

The value of n is a distance of 3 units from 1 1/2 on a number line. Click on the number line to show the possible values of n.

Naddika [18.5K]

I’m pretty sure the answer is 3 :)

4 0

2 years ago

You have won the lottery and will receive 20 annual payments of $10,000 starting today. If you can invest these payments at 8.5%

xxTIMURxx [149]

Answer:

$102,677.20

Step-by-step explanation:

The present value of an annuity due is determined by the following expression:

$PV = P+P*(\frac{1-(1+r)^{-n+1}}{r})$

Where 'P' is the amount of each payment received, 'r' is the interest rate on the investment and 'n' is the number of yearly payments.

With 20 annual payments of $10,000 at a rate of 8.5%, the present value is:

$PV = 10,000+10,000*(\frac{1-(1+0.085)^{-20+1}}{0.085})\\PV = 10,000+ 10,000*(9.26772)\\PV=\$102,677.20$

The present value of your winnings is $102,677.20.

8 0

2 years ago

Jamie has8/10 of a candy bar left over. He wants to split it into 1/3 pieces. How many 1/3 pieces can he make?

gtnhenbr [62]

You would have 24 1/3 pieces.

5 0

2 years ago

Read 2 more answers

Use the properties of exponents to rewrite y=e^-0.75t in the form of a(1-r)^t

Ivahew [28]

Answer: y = (1 - 0.527)^t

Step-by-step explanation:

y=e^(-0.75t)

y=(e^-0.75)^t

y= 0.47236655^t

1 - 0.47236655 = 0.52763345

y = (1 - 0.527)^t

5 0

1 year ago

Aisha has 8 coins worth 50¢. If the coins are all dimes and nickels, how many dimes and nickels does she have?

lianna [129]

Answer:

4 dimes

2 nickels

Step-by-step explanation:

3 0

2 years ago