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insens350 [35]
2 years ago
5

Rewrite f(x) into vertex form by completing the square f(x)=−x2+8x+9​

Mathematics
1 answer:
GalinKa [24]2 years ago
3 0

Answer:

vertex  = ( 4  ,  25 )

Step-by-step explanation:

given a parabola in  standard form  y =  a x 2 + b x + c x ; a ≠ 0

then the x-coordinate of the vertex is

X vertex=-b/2a

y=-x2+8x+9 with a=-1 b=8 c=9

X vertex= -8/-2=4

substitute the value on the equation

Y vertex = -(4)squared+8(4)+9=25

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The volume of a right circular cone is 2,279.64 in cubed. If the height of the cone is 18 in, what is the diameter of the cone?
Aleksandr [31]

ANSWER

A. 22 in

EXPLANATION

The volume of a cone is calculated using the formula:

Volume =  \frac{1}{3}  \times \pi {r}^{2} h

It was given that: the volume is 2,279.64 in³

The height of the cylinder is also given as: h=18 in.

We substitute, the given values into the formula to get:

2279.64=  \frac{1}{3}  \times (3.14) \times {r}^{2}  \times 18

2279.64= 18.84 {r}^{2}

{r}^{2}  =  \frac{2279.64}{18.84}

{r}^{2}  = 121

We take positive square root to get;

r =  \sqrt{121}

r = 11in

Therefore the diameter is 2(11) which is equal to 22 inches.

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3 years ago
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Step-by-step explanation:

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3 years ago
A=30 and AB=4 how long is bc
mojhsa [17]

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bc is 26

Step-by-step explanation:

7 0
3 years ago
Geometry 10 Unit 7 Circles Test Question 16
Sergio039 [100]
X is 15



8x - 10 + 6x + 10x + 10 = 360 \\ 8x + 6x + 10x = 10 - 10 + 360 \\ 24x = 360
x = \frac{360}{24 } = 15

good luck
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3 years ago
Are the ratios 1:2 and 3:16 equivalent?<br> yes<br> no
mamaluj [8]

Answer:

the answer to your question is false.

Step-by-step explanation:

These ratios are not equivalent

5 0
2 years ago
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