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adell [148]
3 years ago
11

Simplifying Nonperfect Roots

Mathematics
1 answer:
Bond [772]3 years ago
3 0
Short Answer:Choice C [Third one down]
Remark

Start with the number so I can talk about the basic principle at work. The way to work it is to factor 162 into prime factors and hope there are at least 3 that are the same. 
162 = 2 * 81
162 = 2 * 3 * 3 * 3 * 3

Now When you take the cube root of that, you get \sqrt[3]{2*2*2*2*3}
Here's the rule for a cube root. For every 3 prime factors under the cuberoot sign, you take out one and throw the other two away. So for cube root of 81,
you would factor it as ∛(81) = ∛(3 * 3 * 3 * 3) = 3∛3.

So out of four 3s under the cube root sign,  you have 1 outside the root sign and one inside the root sign. 2 of the four 3s have been thrown away.

Continuation.
X first
You want 2 xs outside the root sign
∛(x * x * x * x * x *x ) = (x * x)  You have thrown away 2 xs for every x outside the cube root sign
C = 6 There are no left overs.

Y second
For the ys, you need 1 outside and 2 inside the root sign. that's because you need 5 altogether.
∛(y * y * y * y * y) = y ∛y^2

Answer 
c = 6; d = 2
Choice C <<<<<< answer 
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Answer:

F = 9.75cm

Step-by-step explanation:

Given

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Required

Determine side F

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Comparing both triangles side by side,

Side F is a direct dilation of side C and this is calculated as follows

F = Dilation * C

F = 2.5 * 3.9cm

F = 9.75cm

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Explain how finding 4 times 384 can help you find 4 times 5,384
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Well, 5384 is 5000 bigger than 384. So you would add 20000 (4*5000) to the answer of 4*384, which is 1536.
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In the last 10 years, the population of Indonesia has grown at a rate of 1.12% per year to 258,316,051. If this rate continues,
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<u>Predicted population after 10 years:</u>

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Write the slope intercept form of the equation of the line through the given points. (5,-1) and (-5,2)
Lelu [443]

Answer:

y=-\frac{3}{10} x+\frac{1}{2} or -\frac{3}{10}

Step-by-step explanation:

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plug in 2 for y2 and -1 for y1

plug in -5 for x2 and 5 for x1

\frac{2-(-1)}{-5-5}=

2+1=3

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-\frac{3}{10} is ur slope

_____________________

this is the y=mx+b formula *extra info ig*

i usually use the first point for this but u can use watever point u want

plug in 5 for x

plug in -1 for y

and plug -3/10 for m

-1=-3/10(5)+b

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add -3/2 on both sides

-1+3/2=1/2

1/2=b and b is ur y-intercept

y=-3/10x+1/2

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