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2 years ago

Could someone check this answer for me?

Mathematics

2 answers:

miss Akunina [59]2 years ago

6 0

Answer:

Yes you are correct! :)

maria [59]2 years ago

3 0

Yes it is correct!
STEP BY STEP:

You might be interested in

A parabola can be drawn given a focus of

Volgvan

Answer:

$y=-\frac{1}{4}(x-2)^{2}+9$

Step-by-step explanation:

Any point on a given parabola is equidistant from focus and directrix.

Given:

Focus of the parabola is at $(2,8)$ .

Directrix of the parabola is $y=10$ .

Let $(x,y)$ be any point on the parabola. Then, from the definition of a parabola,

Distance of $(x,y)$ from focus = Distance of $(x,y)$ from directrix.

Therefore,

$\sqrt{(x-2)^{2}+(y-8)^{2}}=|y-10|$

Squaring both sides, we get

$(x-2)^{2}+(y-8)^{2}=(y-10)^{2}\\(x-2)^{2}=(y-10)^{2}-(y-8)^{2}\\(x-2)^{2}=(y-10+y-8)(y-10-(y-8))...............[\because a^{2}-b^{2}=(a+b)(a-b)]\\(x-2)^{2}=(2y-18)(y-10-y+8)\\(x-2)^{2}=2(y-9)(-2)\\(x-2)^{2}=-4(y-9)\\y-9=-\frac{1}{4}(x-2)^{2}\\y=-\frac{1}{4}(x-2)^{2}+9$

Hence, the equation of the parabola is $y=-\frac{1}{4}(x-2)^{2}+9$ .

4 0

3 years ago

At a little-known vacation spot, taxi fares are a bargain. A 14-mile taxi ride takes 16 minutes and costs $11.20. You want t

ss7ja [257]

Answer:

fvvr

Step-by-step explanation:

vfew

3 0

2 years ago

A movie theater has a seating capacity of 387. The theater charges $5.00 for children, $7.00 for students, and $12.00 of

Rainbow [258]

Answer:

The attendance was 198 children, 90 students and 99 adults.

Step-by-step explanation:

We define:

c: children attendance

s: students attendance

a: adult attendance

The equation that describes the total ticket sales is:

$5c+7s+12a=2808$

We also know that the children attendance doubles the adult attendance:

$c=2a$

The third equation is the seating capacity, which we assume is full:

$c+s+a=387$

We start by replacing variables in two of the equations:

$c=2a\\\\s=387-c-a=387-2a-a=387-3a$

Then, we solve the remaining equation for a:

$5c+7s+12a=2808\\\\5(2a)+7(387-3a)+12a=2808\\\\10a+(2709-21a)+12a=2808\\\\10a+12a-21a=2808-2709\\\\a=99$

Then, we solve for the other two equations:

$c=2a=2*99=198\\\\s=387-3a=387-3*99=387-297=90$

The attendance was 198 children, 90 students and 99 adults.

8 0

3 years ago

What's 65-70 days in weeks

dusya [7]

Answer:

About 9-10 weeks

Step-by-step explanation:

70/7= 10

4 0

2 years ago

Read 2 more answers

Can I have help with this, I have drawn out a graph and marked my points so far.

Sidana [21]

Answer:

D. 2x²

Step-by-step explanation:

Ok, so the first thing to do is remember the first number in parentheses is x, and the second number is y.

You're trying to figure out which expression turns x into y in each set.

Just by plugging in the numbers into each expression I found that the answer is 2x².

I'll prove this starting with (1, 2).

1² = 1

2 x 1 = 2

So, y = 2x²!

Next, (2, 8).

2² = 4

2 x 4 = 8

So, y = 2x²!

I'm not going to demonstrate with the other two but I hope you understand. Just plug the values of x and y into the equation and see which is correct.

4 0

3 years ago