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likoan [24]
3 years ago
10

Derive the equation of the parabola with a focus at (0, −4) and a directrix of y = 4

Mathematics
1 answer:
Ierofanga [76]3 years ago
7 0
We are given with the focus coordinates of (0,-4) and a directrix equation of y=4,. we are asked for the equation of the parabola. The vertex of the parabola should lie in between the directrix and the focus. Hence, vertex should be at (0,0). the curve goes downwards. and the length of the latus rectum is 4. Hence the equation is x2=-16y
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My total owed with interest is $507.50. I borrowed $290 at 12.5% interest.How long was my loan for in years?
lapo4ka [179]

Answer:

Time = 6 years

Step-by-step explanation:

Data;

Simple interest = $507.50

Principal = $290

Rate = 12.5% = 12.5/100 = 0.125

Time = ?

To solve this question, we'll need to use the formula for simple interest

S.I = PRT / 100

Or

S.I = P(1 + RT)

S.I = simple interest

P = principal

R = rate

T = time

S.I = P(1 + RT)

507.50 = 290(1 + 0.125*T)

507.50 = (290 × 1) + (290 * 0.125T)

507.50 = 290 + 36.25T

Solve for T

36.25T = 507.50 - 290

36.25T = 217.50

T = 217.50 / 36.25

T = 6

The time tenure on the loan was 6 years

8 0
4 years ago
3016÷13 help.me please​
faust18 [17]

Answer:

232

Step-by-step explanation:

3016/13=232

use a calculator

5 0
3 years ago
Read 2 more answers
What is the area of a rectangle if the length is 1/2 and the width is 1/4
Ostrovityanka [42]

Answer:

Step-by-step explanation:

its the size of my nut$. hope this helps!

6 0
3 years ago
Pls help ASAP first correct answer gets brainleist ​
AnnZ [28]

Answer:

4.58257569 meters (Could probably get away with rounding it to 4.6 meters)

Step-by-step explanation:

Pythag theorem

a^2 +b^2 =c^2

Insert your numbers

10^2+b^2=11^2

Simplify squares

100+b^2=121

subtract 100 from both sides

b^2=21

sqrt both sides

sqrt(b^2)=sqrt(21)

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b= 4.58257569

7 0
2 years ago
PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!
statuscvo [17]
THE AREA IS 20 UNITS BECAUSE IF YOU DIVIDE IT INTO 2 SQUARES, THE FIRST ONE IS 4*3=12. THE SECOND ONE IS 2*4=8.
12+8=20.

HOPE THIS HELPED☺☺
8 0
3 years ago
Read 2 more answers
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