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3 years ago

Enter the values of h and I so that y=x2+6x+10 is in vertex form Y=(x+)^2+_

1 answer:

3 0

$Use\ (a+b)^2=a^2+2ab+b^2\qquad(*)\\\\y=x^2+6x+10=x^2+2(x)(3)+10=\underbrace{x^2+2(x)(3)+3^2}_{(*)}-3^2+10\\\\=(x+3)^2-9+10=(x+3)^2+1\\\\Answer:\ \boxed{y=(x+3)^2+1}$

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tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylender. what is the volume of the area not occup

mina [271]

Answer:

The volume of the area not occupied by the tennis balls is 12.28 cubic inches.

Step-by-step explanation:

It is given that tennis balls with a diameter of 2.5in are sold in cans of three. the can is a cylinder.

Radius of ball = Radius of can = $\frac{2.5}{2}=1.25$

Height of can = $2.5\times 3=7.5$

The volume of sphere is

$V=\dfrac{4}{3}\pi r^3$

where, r is radius of sphere.

The volume of a tennis balls is

$V=\dfrac{4}{3}\pi (1.25)^3$

$V=8.18123$

$V\approx 8.18$

Volume of three tennis balls is

$V_1=3\times 8.18=24.54$

The volume of cylinder is

$V=\pi r^2h$

The volume of can is

$V_2=\pi (1.25)^2(7.5)$

$V_2=36.81553$

$V_2\approx 36.82$

The volume of the area not occupied by the tennis balls is

Volume = Volume of cylinder - Volume of three tennis balls

= 36.82 - 24.54 = 12.28 inches

Therefore, the volume of the area not occupied by the tennis balls is 12.28 cubic inches.

3 0

4 years ago

There were 32 skaters at the rink on Friday. On Saturday, there were 27 skaters at the

shtirl [24]

Answer: 32 + 27 = 59

Step-by-step explanation:

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3 years ago

4x-2<br> x=5<br>can someone help me with this?

kondaur [170]

Answer:

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Step-by-step explanation:

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3 years ago

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3 years ago

If 1/8 pound of fertilizer covers 25square feet of ground how much fertilizer in pounds is needed to cover 1 square foot of grou

slamgirl [31]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Enter the values of h and I so that y=x2+6x+10 is in vertex form Y=(x+__)^2+___

Enter the values of h and I so that y=x2+6x+10 is in vertex form Y=(x+)^2+_