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3 years ago

Can someone help me plz (-5x^4y^2)^3

1 answer:

5 0

(-5x⁴y²)³

To avoid confusion, we can separate each variable and raise it to the 3rd power.

-5³ * (x⁴)³ * (y²)³

-5³ = -5 * -5 * -5 = -125
(x⁴)³ = x⁴*³ = x¹²
(y²)³ = y²*³ = y⁶

(-5x⁴y²)³ = -125x¹²y⁶

You might be interested in

(10v^4 + 30v^3 + 2v^2) / 10v

Zina [86]

Given expression is

$\frac{10v^4+30v^3+2v^2}{10v}$

Now we need to simplify this expression. We can begin by factoring numerator and denominator if possible.

$= \frac{2v^2(5v^2+15v+1)}{10v}$

divide numerator and denominator both by 2v

$= \frac{v(5v^2+15v+1)}{5}$

$= \frac{5v^3+15v^2+1v}{5}$

Hence final answer is $\frac{5v^3+15v^2+1v}{5}$

Or you can also keep factored form

$\frac{v(5v^2+15v+1)}{5}$

3 0

4 years ago

Hey everyone !

zhuklara [117]

Answer:

The measure of the largest angle is 120°

Step-by-step explanation:

Lets explain how to find the measure of an angle from the length of the

sides of the triangle

- We can do that by using the cosine rule

- If the three angles of the triangle are A , B , C, then the side opposite

to angle A is BC , the side opposite to angle B is AC and the side

opposite to angle C is AB, So to find measure of angle A use the rule

$cos(A)=\frac{(AB)^{2}+(AC)^{2}-(BC)^{2}}{2(AB)(AC)}$

Lets solve the problem

- Assume that the triangle is ABC where AB = 14 cm , BC = 10 cm and

AC = 6 cm

- We need to find the measure of the largest angle

- The largest angle is opposite to the longest side

∵ The longest side is AB

∴ The largest angle is C

By using the rule above

∴ $cos(C)=\frac{(AC)^{2}+(BC)^{2}-(AB)^{2}}{2(AC)(BC)}$

∵ AB = 14 cm , BC = 10 cm , AC = 6 cm

∴ $cos(C)=\frac{(6)^{2}+(10)^{2}-(14)^{2}}{2(6)(10)}$

∴ $cos(C)=\frac{36+100-196}{120}$

∴ $cos(C)=\frac{-60}{120}=-0.5$

∴ cos(C) = -0.5 ⇒ that means angle C is obtuse angle

∴ m∠C = $cos^{-1}(-0.5)=120$

* The measure of the largest angle is 120°

8 0

3 years ago

Read 2 more answers

The right triangle on the right is a scaled copy of the right triangle on the left. Identify the scale factor. Express your answ

Sonja [21]

Answer:

1/3

Step-by-step explanation:

the one on the left is 3 times larger than the one on the right. in other words, the right triangle's dimensions times 1/3 is equal to the left triangle's dimensions.

5 0

3 years ago

RS bisects TU at Q. If TQ=5k-9 and QU=15-x

snow_lady [41]

Answer:

x = 4, TU = 22

Step-by-step explanation:

Given that TS bisects TU at Q , then

TQ = QU , substitute values

5x - 9 = 15 - x ( add x to both sides )

6x - 9 = 15 ( add 9 to both sides )

6x = 24 ( divide both sides by 6 )

x = 4

Thus

TU = 5x - 9 + 15 - x = 4x + 6 = 4(4) + 6 = 16 + 6 = 22

4 0

3 years ago

Solve |y - 2|<10 Please help

ElenaW [278]

Step-by-step explanation:

y-2<10

y >12

y bigger than 12.

3 0

3 years ago