Which linear function represents the line given by the point-slope equation y – 8 = (x

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 the x-coordinate of the vertex is 8.

6 0

3 years ago

PLZ HELP ME OUT How do I know a number is rational or irrational?

Harrizon [31]

Answer: If a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

Step-by-step explanation:

So if a number is rational, it can be represented as a simple fraction, it can be written as a terminating decimal, and a repeating decimal.

If a number is irrational, it cannot be represented as a simple fraction, it cannot be written as a terminating decimal, and not as a repeating decimal. It never ends, never repeats, just like the constant pi.

8 0

3 years ago

What is (-i)5? A -1 B 1 C -I D i

dezoksy [38]

Answer:

-i^5=-i

Step-by-step explanation:

rewrite the equation ;

i^4=1

I^4 *-i = 1*-i=-i

8 0

4 years ago

What is the area of rectangle PQRS

lord [1]

Step-by-step explanation:

60 × 60= 3600

I hope this is correct

6 0

3 years ago

Tuesday and Wednesday work

AURORKA [14]

Prime factorizations - Wednesday work
1. 44 2^2 • 11
2. 125 5^3
3. 85 5 • 17
4. 39 3 • 13
5. 63 3^2 • 7
6. 240 2^4 • 3 • 5
7. 87 3 • 29
8. 45 3^2 • 5

8 0

3 years ago

Which linear function represents the line given by the point-slope equation y – 8 = (x – 4)?