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3 years ago

Write an equation for a parabola with a focus (-3,6) and a directrix y=0

Mathematics

2 answers:

Airida [17]3 years ago

7 0

Answer:

A= 1/12

Step-by-step explanation:

just look up your question online and click on the first link and it will tell you all the answers you need :)

Annette [7]3 years ago

7 0

Answer:

y=1/12 (x-3)^2+3

Step-by-step explanation:

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3. What are the roots of the polynomial y = x³ - 8?

zzz [600]

Step-by-step explanation:

x^3 is a perfect cube, 8 is a perfect cube, so we use difference of cubes.

${a}^{3} - {b}^{3} = (a - b)( {a}^{2} + ab + {b}^{2} )$

Cube root of x^3 is x.

Cube root of 8 is 2

a=x

b= 2.

$(x - 2)( {x}^{2} - 2x + 4)$

Set these equations equal to zero

$x - 2 = 0$

$x = 2$

${x}^{2} - 2x + 4 = 0$

If we do the discriminant, we get a negative answer so we would have two imaginary solutions,

Thus the only real root is 2.

If you want imaginary solutions, apply the quadratic formula.

$1 + i \sqrt{ 3 }$

and

$1 - i \sqrt{3}$

4 0

2 years ago

The granola summer buys used to cost $6.00 per pound, but it has been marked up 15%. How much in dollars and cents will summer p

Norma-Jean [14]

Summer will pay $17.94 for 2.6 lbs of granola

6 0

3 years ago

As the number of pages in a photo book increases, the price of the book also increases. There is an additional shipping charge o

wlad13 [49]

Answer:

Step-by-step explanation:

Solve the inequality (20 + 0.5x) + 0.15(20 + 0.5x) ≤ $62.10 for x:

20 + .5x + 3 + 0.75x ≤ 62.10

Combining the x terms, we get:

20 + 3 + 1.25x ≤ 62.10.

Combining the constants on the left:

23 + 1.75x ≤ 62.10

Combining the constants:

1.75x = 39.10

Solving for x: 39.10/1.75 = 22.34

Thus, the max number of whole pages she can have in her book is 22.

4 0

4 years ago

An account earns simple interest $600 at 5% for 2 years find the interest earned

iVinArrow [24]

Answer:

so your answer would be 60$

Step-by-step explanation:

I = P * r * t

Here, P = $600

r = 0.05 (decimal value for 5%)

t = 2 years

Part a)

The interest earned will be:

I = P * r * t

I = 600 * 0.05 * 2

I = $60

Part b)

The balance in the account will be $600 plus the interest earned or:

$600 + 60 = $660

7 0

3 years ago

Joe thinks the area to be pantries on wall 2is 84 square feet.

lilavasa [31]

Please put a picture next time :)

7 0

2 years ago