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3 years ago

What is the radius of 16\pi

Mathematics

1 answer:

Komok [63]3 years ago

5 0

Id imagine it being 8

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<img src="https://tex.z-dn.net/?f=4%20%5Ctimes%208%20%5E%7B2x%20%2B%201%3F%7D%20%20%3D%2032%20%5E%7Bx%20%2B%202%7D%20" id="TexFo

svet-max [94.6K]

Answer:

x = 5

Step-by-step explanation:

__________________________________________________________

FACTS TO KNOW BEFORE SOLVING :-

$a^x \times a^y = a^{x+y}$

In an equation , if the bases are same in both L.H.S. & R.H.S. then , the power of the bases on both the sides of equation should be equal. For e.g. : $a^x = a^y$ ⇒ $x = y$ [∵ Bases are equal on both the sides]

__________________________________________________________

$4 \times 8^{2x+1} = 32^{x+2}$

Lets express it in terms of 2.

$=> 2^2 \times 2^{3 (2x+1)} = 2^{5(x+2)}$

$=> 2^2 \times 2^{6x+3} = 2^{5x+10}$

$=> 2^{2 + 6x+3} = 2^{5x+10}$

$=> 2^{6x+5} = 2^{5x+10}$

Here the bases on both the sides are equal. Hence ,

$=> 6x + 5 = 5x + 10$

$=> 6x - 5x = 10 - 5$

$=> x = 5$

6 0

2 years ago

Okay here's the first few questions

Marina86 [1]

Answer:

1,yes

2,no

3,x=√117

4,x=12 y=6

5,x=12, y=15.75

6 0

3 years ago

What are two pair fractions with common denominators for 3/5 and 3/4

diamong [38]

The cheap answer is, you simply "grab the denominator of one and multiply it times the other's top and bottom", so let's do so,

$\bf \cfrac{3}{5}\cdot \cfrac{4}{4}\implies \cfrac{12}{20}\qquad \qquad \qquad \qquad \qquad \cfrac{3}{4}\cdot \cfrac{5}{5}\implies \cfrac{15}{20}$

6 0

3 years ago

Drag each interval to a box to show if the function shown is increasing, decreasing, or neither over that interval.

Elden [556K]

The answer to the question is c

4 0

3 years ago

Read 2 more answers

8 cm 10 cm 3 cm What is the volume of the right rectangular prism?

kati45 [8]

Answer:

240 cubic centimetres