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Katena32 [7]
3 years ago
7

What the vertex and AOS if the equation is y=(x-2)^2-2

Mathematics
1 answer:
Ugo [173]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

For y = a(x - b)^2 + c , the vertex is at (b, c) and the axis of symmetry is x = b.

So for y = (x-2)^2 - 2,

the vertex  is (2, -2) and the axis of symmetry is x = 2.

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Every time the word each is used in a math problem, that would mean that you need to multiply something. And that's what happened here


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3 years ago
Find the volume of a cylinder with a diameter of 8 inches and a height that is three times the radius. Use 3.14 for pi and round
ivann1987 [24]
Step 1: Find the area of the base: pi(r^2)=3.14(8^2)=200.96
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7 0
4 years ago
Factor both quadratic expressions. (x 4 + 5x 2 - 36)(2x 2 + 9x - 5) = 0
Sonbull [250]

So focusing on x^4 + 5x^2 - 36, we will be completing the square. Firstly, what two terms have a product of -36x^4 and a sum of 5x^2? That would be 9x^2 and -4x^2. Replace 5x^2 with 9x^2 - 4x^2: x^4+9x^2-4x^2-36

Next, factor x^4 + 9x^2 and -4x^2 - 36 separately. Make sure that they have the same quantity inside of the parentheses: x^2(x^2+9)-4(x^2+9)

Now you can rewrite this as (x^2-4)(x^2+9) , however this is not completely factored. With (x^2 - 4), we are using the difference of squares, which is a^2-b^2=(a+b)(a-b) . Applying that here, we have (x+2)(x-2)(x^2+9) . x^4 + 5x^2 - 36 is completely factored.

Next, focusing now on 2x^2 + 9x - 5, we will also be completing the square. What two terms have a product of -10x^2 and a sum of 9x? That would be 10x and -x. Replace 9x with 10x - x: 2x^2+10x-x-5

Next, factor 2x^2 + 10x and -x - 5 separately. Make sure that they have the same quantity on the inside: 2x(x+5)-1(x+5)

Now you can rewrite the equation as (2x-1)(x+5) . 2x^2 + 9x - 5 is completely factored.

<h3><u>Putting it all together, your factored expression is (x+2)(x-2)(x^2+9)(2x-1)(x+5)=0</u></h3>
5 0
3 years ago
What is the missing reason in the proof?
spayn [35]
Perpendicular bisector theorem
5 0
3 years ago
Read 2 more answers
Can someone pls pls help me?
vesna_86 [32]

Answer:

Hello! answer: 9

Step-by-step explanation:

Formula for triangle area: base × height ÷ 2 or base × height × 1/2

6 × 3 = 18 18 ÷ 2 = 9 therefore 9 is the area!

8 0
3 years ago
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