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rewona [7]
3 years ago
9

Change to vertex form 2x²16x+33

Mathematics
1 answer:
loris [4]3 years ago
6 0

y=2x^2+16x+33\\\\y=2x^2+16x+32+1\\\\y=2(x^2+8x+16)+1\\\\y=2(x+4)^2+1\\\\or\\\\y=2x^2-16x+33\\\\y=2x^2-16x+32+1\\\\y=2(x^2-8x+16)+1\\\\y=2(x-4)^2+1

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Other names for a rectangle?
Vitek1552 [10]
The answer is square

Hope it helps
7 0
3 years ago
Read 2 more answers
The surface area of a right cone is 400.2 m2. The radius of the cone is 6.0 m. Determine the height of the cone to the nearest m
svetoff [14.1K]
                 S = πr(r + √(h² + r²))
          400.2 = 3.14(6)(6 + √(h² + 6²))
          400.2 = 18.84(6 + √(h² + 36))
          18.84                 18.84
        21¹⁰⁹/₄₇₁ = 6 + √(h² + 36))
        - 6         - 6
        15¹⁰⁹/₄₇₁ = √(h² + 36)
231²²¹⁰⁰⁵/₂₂₁₈₄₁ = h² + 36
- 36                       - 36
195²²¹⁰⁰⁵/₂₂₁₈₄₁ = h²
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8 0
3 years ago
A cylinder has a height of 14 centimeters and a radius of 17 centimeters. What is its volume? Use ​ ≈ 3.14 and round your answer
9966 [12]
<h2><u>Answer</u></h2>

Volume = \sf{\pi r^2 h}

= \sf{3.14 \times {17}^{2} \times 14 } = \sf{12704.45~cm^3}

6 0
3 years ago
Slope = 1.75; (10, 16.5)
vazorg [7]
Do you want the equation of the line given the slope and a point it goes through?

y - y1 = m (x - x1)
y - 16.5 = 1.75 (x - 10)
y - 16.5 = 1.75x -17.5
y = 1.75x - 1
8 0
3 years ago
A store sells mugs. Each mug costs the same amount. During a sale, the store reduces the price of each mug by $1.75. Wen spends
Sergio039 [100]
I’m assuming the question is what is the price of one mug WITHOUT the sale.

So since the price of 5 mugs is $28.20, we can work out the price of one mug with the sale.

We do this by doing:

$28.20 / 5

Which gives us:

$5.64 per mug during the sale.

To work out the price of a mug without the sale, we simply add on the amount that has been taken off (which we know is $1.75 because the question says so):

$5.64 + $1.75 = $7.39

Therefore we can conclude the price of a mug without a sale is $7.39

And the price of a mug during the sale is $5.64.

I hope this helps!
8 0
3 years ago
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