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4 years ago

Factor completely 49x2 − 81. a. (7x 9)2 b. (7x − 9)2 c. (7x 9)(7x − 9) d. 7x − 9

Mathematics

2 answers:

xeze [42]4 years ago

6 0

Answer:

(7x + 9)((7x - 9)

Step-by-step explanation:

vredina [299]4 years ago

3 0

Use the property
(a -b)(a+ b) = a^2 - b^2

49x^2 - 81 = (7x + 9)((7x - 9)

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4 years ago

Read 2 more answers

the volume of the a sphere whoes diameter is 18 cm is cubic cm . if it's diameter were reduced by half, it's volume would be of

FrozenT [24]

Answer:

The new volume is 8 times smaller than the original volume

Step-by-step explanation:

we know that

If two figures are similar, then the ratio of its volumes is equal to the scale factor elevated to the cube

Let

z-----> the scale factor

x ----> the volume of the reduced sphere

y ----> the volume of the original sphere

$z^{3}=\frac{x}{y}$

we have

$z=1/2$ ----> scale factor

substitute

$(1/2)^{3}=\frac{x}{y}$

$(1/8)=\frac{x}{y}$

$x=\frac{y}{8}$

therefore

The new volume is 8 times smaller than the original volume

Verify

The volume of the original sphere is

$r=18/2=9\ cm$ ---> the radius is half the diameter

$V=\frac{4}{3}\pi (9)^{3}=972\pi \ cm^{3}$

the volume of the reduced sphere is

$r=9/2=4.5\ cm$ ---> the radius is half the diameter

$V=\frac{4}{3}\pi (4.5)^{3}=121.5\pi \ cm^{3}$

Divide the volumes

$972\pi \ cm^{3}/121.5\pi \ cm^{3}=8$

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3 years ago

Please help ASAP 25 pts + brainliest to right/best answer

Galina-37 [17]

(f + g)(x) = f(x) + g(x)

(f + g)(x) = 3x + 5 + x^2 = x^2 + 3x + 5

Answer: Choice D

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4 years ago