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4 years ago

Solve for(x-4)(x+4)=

Mathematics

1 answer:

Lubov Fominskaja [6]4 years ago

7 0

Answer:

x^2-16

Step-by-step explanation:

x^2-4^2

x^2-16

difference of squares

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cylindrical vase holds 8,038.4 cubic centimeters of water. The height of the vase is 40 centimeters. What is the length of the r

iragen [17]

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

Step-by-step explanation:

The given is,

Volume of cylindrical vase = 8038.4 cubic centimeters

Height of the cylindrical vase = 40 centimeters

Step:1

Formula for volume of cylindrical vase,

$Volume, V=\pi r^{2} h$ ......................(1)

Where, r - Radius of cylindrical vase

h - Height of cylindrical vase

From the given,

V = 8038.4 cubic centimeters

h = 40 centimeters

Equation (1) becomes,

8038.4 $= \pi r^{2} 40$

$=(3.14)(40)r^{2}$ (∵ $\pi$ = 3.14 )

$8038.4 = 125.6 r^{2}$

$r^{2} = \frac{8038.4}{125.6}$

$r =\sqrt{64}$

r = 8 centimeters

Result:

The radius of the cylindrical vase is 8 centimeters, if the cylindrical vase holds 8,038.4 cubic centimeters of water and the height of the vase is 40 centimeters.

7 0

3 years ago

What expression is equivalent to (5z^2+3z+2)^2

statuscvo [17]

The answer is, 25z^4+30z^3+29z^2+12z+4
Or z(z(z(25z+30)+29)+12)+4

6 0

3 years ago

A ball was kicked into the air from a balcony 20

Ainat [17]

<span>Max ht is at the vertex of the parabola, at t = -b/2a
t = -32/-32 = 1
h(1) = -16 + 32 + 20
= 36 feet
hope this helps

</span>

5 0

3 years ago