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3 years ago

Factor 64v^3 + 192v^2 -56v - 168

Mathematics

1 answer:

Kaylis [27]3 years ago

4 0

Hello from MrBillDoesMath!

Answer:

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )

Discussion:

Given

64v^3 + 192v^2 - 56 v - 168

Factor 64v^2 from the first two terms. Factor 56 from the last two terms:

64v^2(v+3) - 56(v + 3) => factor (v+3) from both terms

(v+3) (64v^2 - 56) => factor 8 from both terms in the right ()

8(v+3)(8v^2-7) => factor 8y^2-7

8(v+3) ( -1/2 (sqrt(14) - 4 v) (4 v + sqrt(14)) )

Thank you,

MrB

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In the figure, ray OB bisects ∠TOY.

Levart [38]

Answer:

∠BOY = 38°

Explanation:

From the diagram, we can note that:

m∠TOY = m∠TOB + m∠BOY ...................> equation I

We are given that ray OB bisects the angle

Therefore:

m∠TOB = m∠BOY

Substitute in equation I:

m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II

We are given that:

m∠TOY = 8x-36

m∠TOB = x+24

Substitute with the givens in equation II and solve for x:

m∠TOY = 2m∠TOB

8x - 36 = 2(x + 24)

2(4x-18) = 2(x+24)

4x - 18 = x + 24

3x = 42

x = 14

This means that:

m∠TOB = x + 24 = 14 + 24 = 38°

Since

m∠TOB = m∠BOY

Therefore:

m∠BOY = 38°

Check:

m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB

Hope this helps :)

8 0

4 years ago

Consider the figure shown below. Find the value of BL

Gnesinka [82]

Answer:

BL = 2

Step-by-step explanation:

Given:

AL = 3

AC = 10

BC = 9

AL = AM = 3 (tangents drawn form am external point)

CM = AC - AM

CM = 10 - 3

CM = 7

CM = CN = 7 (tangents drawn form am external point)

BN = BC - CN

BN = 9 - 7

BN = 2

BN = BL = 2 (tangents drawn form am external point).

BL = 2

7 0

3 years ago

Describe the piecewise function below by evaluating the function for given values of the domain

tekilochka [14]

We have a piecewise function.
Therefore, to find the function, we must evaluate each domain separately.
We have then:

For $x \leq -2$ :
The function for this domain is:
$y = -3
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For $-2 \ \textless \ x \leq 2$ :
The function for this domain is:
$y = mx + b
$
Where,
$b = -3

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 m = (1 - (-7)) / (2 - (-2))$
$m = (1 + 7) / (2 + 2)

 m = 8/4

 m = 2$
Substituting:
$y = 2x - 3
$

For $x\ \textgreater \ 2$ :
The function for this domain is:
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4 years ago

Assume clark and lana leave smallville stadium from the same point at the same time. If clark runs south at 4 mph and lana runs

Vitek1552 [10]

They are 10 miles apart

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4 years ago

(30 POINTS COME AND GET IT FOR A MULTIPLE CHOUCE XD) which of the following is the solution for s in the system of equation show

disa [49]

Answer:

(4) s = 20

Step-by-step explanation:

Given system:

r + 2s = 52
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Eliminate r to solve for s.

To do so, double the first equation and then subtract the second one:

2r + 4s = 104
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Subtract

4s - (-s) = 104 - 4
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Correct choice is (4) 20

3 0

3 years ago

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Factor 64v^3 + 192v^2 -56v - 168​

Factor 64v^3 + 192v^2 -56v - 168