MATHEMATICS HIGH SCHOOL

HELP!!! Using a directrix of y = 2 and a focus of (3, −4), what quadratic function is created?

Answers

Answer 1

Answer:

Answer:

The required quadratic function is $y=-(1)/(12)(x-3)^2-1$ .

Step-by-step explanation:

The standard form of the parabola is

$(x-h)^2=4p(y-k)$

Where the focus is (h, k + p) and the directrix is y = k - p.

The directrix of y = 2 and a focus of (3, −4).

$(h,k+p)=(3,-4)$

On comparing both sides we get

$h=3$

$k+p=-4$ ...... (1)

$y=k-p$

$k-p=2$ ...... (2)

Add equation (1) and (2).

$2k=-2$

$k=-1$

Substitute k=-1 in equation (1).

$(-1)+p=-4$

$p=-3$

Therefore the equation of parabola is

$(x-3)^2=4(-3)(y-(-1))$

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

It can be rewritten as

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

Therefore the required quadratic function is $y=-(1)/(12)(x-3)^2-1$ .

Answer 2

Answer: parabola with vertx (3,-1) that opens down

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

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Nilai 61-70 71-80 81-90 91-100
f 4 8 60 28 Tentukan : a. modus data B. median data

Answers

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Stuart is 4 1/2 feet tall how tall is he in inches

Answers

Stuart is 1.772 inches.

A box is 10 cm long, 5 cm wide, and 2 cm high. What is the surface area of the box? (S.A. = 2lw + 2lh + 2wh)

Answers

your answer is 160 cm2 all you need to do is look up a calculator online i use calculator soup

Answer:

your answer is 160 cm2

Step-by-step explanation:

A coin is tossed 40 times. Heads appeared 18 times. Find the experimental probability of landing on heads.

Answers

The experimental probability of landing on heads will be 9/20 or 0.45.

What is probability?

Its basic premise is that something will almost certainly happen. The percentage of favorable events to the total number of occurrences.

A coin is tossed 40 times.

Heads appeared 18 times.

Total events = 40

Favorable events = 18

Then the experimental probability of landing on heads will be

P = 18 / 40

P = 9 / 20

P = 0.45

More about the probability link is given below.

brainly.com/question/795909

#SPJ2

18 out of 40

$(18)/(40) = (9)/(20) = 0.45 = 45 \%$

Helllllllllllllllllllllllllllllllllllllpppppppppppppppp with this plssssss

Answers

Answer:

D) 3x-36

Step-by-step explanation:

Multiply using the distributive property

Answer:

-3x-36

Step-by-step explanation:

7a-3=3-2a
I don't know how to solve this question

Answers

7a-3=3-2a
9a-3=3 (add 2a to both sides)
9a=6 (add 3 to both sides)
a=6/9 (divide by 9 to both sides)

get all variables (in this case, "a") on one side by adding "2a" to both. this cancels the "-2a". then, combine like terms. also move "-3" to the other side, by adding "3". finally, divide the "6" and "a" by "9" to get variable alone. therefore, "a = 2/3".
7a-3=3-2a
+2a +2a
9a-3=3
+3 +3
9a=6
a=2/3

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