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Komok [63]
2 years ago
12

PLEASE ANSWER

Mathematics
1 answer:
dalvyx [7]2 years ago
5 0
(0, 10)
(17, 0)
(0, -12)
(18, 0)
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Type the correct answer in each box. Use numerals instead of words. If necessary, use / for the fraction bar(s). Rewrite the fol
never [62]
  • Vertex Form: y = a(x - h)^2 + k, with (h,k) as the vertex.

To convert it into vertex form, we are going to be completing the square. Firstly, subtract 56 on both sides: y-56=2x^2-32x

Next, factor out the GCF, or greatest common factor, of the right side. To find the GCF, list the factors of both terms and the greatest one they share is their GCF. In this case, the GCF is 2: y-56=2(x^2-16x)

Next, we want to make what's inside the parentheses a perfect square. To find the constant of the perfect square, divide the x term by 2 and square the quotient. In this case:

-16 ÷ 2 = -8, (-8)² = 64

So you're gonna have to add 64 to the inside of the parentheses. To cancel this out, you will need to add to the other side the product of 64 and 2 (since 64 is inside the parentheses), which is 128: y+72=2(x^2-16x+64)

Next, factor the polynomial inside the parentheses: y+72=2(x-8)^2

Next, subtract 72 on both sides and your vertex form is y=2(x-8)^2-72

Now looking at this vertex form, the vertex is (8,-72), which means that <u>the x-coordinate of the vertex is 8.</u>

6 0
2 years ago
If the perimeter of a triangle is 31 ft and two of the side lengths are 15 ft and 10 ft, what is the length of the third side?
erastovalidia [21]

Answer:

C) 6 ft

Step-by-step explanation:

Perimeter is just adding the side lengths together so...

31-15-10=x

6=x

so your answer is 6ft

3 0
2 years ago
Read 2 more answers
5
atroni [7]

Answer:

I believe the question says "5j + 16 - 12(-9j - 4) - 12j"  I hope I'm correct because I have almost no idea what you typed.

If you did type "5j + 16 - 12(-9j - 4) - 12j" then your answer would be 133j + 52 I believe. You never put how you would like your problem to be solved, so I simplified.

Step-by-step explanation:

Hope this helps.

5 0
2 years ago
What is the equation of a circle with center (-4,7) radius 3?
miv72 [106K]

Answer:

a. (x + 4)² + (y – 7)² = 3²

Step-by-step explanation:

General equation for a circle is:

(x – h)² + (y – k)² = r²

h and k are the center (h, k), and r is the radius.

They want a center of (-4, 7) so h=-4 and k=7

They want a radius of 3 so r=3

plug it into the equation.

(x – h)² + (y – k)² = r²

(x – (-4))² + (y – (7))² = (3)²

(x + 4)² + (y – 7)² = 3²

7 0
3 years ago
Read 2 more answers
Here is my question.
s2008m [1.1K]

Answer:

5/8

Step-by-step explanation:

if 1/8 is used for one batch . for five batch=1/8*5=5/8

4 0
3 years ago
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