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olga2289 [7]
4 years ago
6

What is the correct answer can you guys help me please pl

Mathematics
1 answer:
DIA [1.3K]4 years ago
4 0

First of all, solve the second parenthesis: if we raise a product to a certain power, it is the same as raising each factor to that power:

(4x)^3 = 4^3\cdot x^3 = 64x^3

So, the expression becomes

5x^3\cdot 64x^3

Now, we multiply the numeric parts:

5\cdot 64 = 320

and the literal part:

x^3\cdot x^3 = x^{3+3} = x^6

So, the answer is 320x^6

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A^2 + B^2 = C^2
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Solve the problem.A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course. At that t
Mice21 [21]

Given:

A plane flying a straight course observes a mountain at a bearing of 35° to the right of its course.

The distance between plan and mountain is 10 km.

A short time later, the bearing to the mountain becomes 45°.

Here NM is the distance between the plane from the mountain when the second bearing is taken.

We need to find the measure of NM.

We\text{ know that }\angle INM\text{ and }\angle\text{XNM are supplementary angles.}

The sum of the supplementary angles is 180 degrees.

\angle INM+\angle XNM=180^o\text{Substitute }\angle XNM=45^o\text{ in the equation.}

\angle INM+45^o=180^o

\angle INM=180^o-45^o

\angle INM=135^o

We know that the sum of all three angles of the triangle is 180 degrees.

\angle INM+\angle NIM+\angle INM=180^o\text{Substitute }\angle INM=135^o\text{ and }\angle NIM=35^o\text{ in the equation.}

135^o+35^o+\angle INM=180^o

170^o+\angle INM=180^o

\angle INM=180^o-170^o

\angle INM=10^o

Consider the sine law.

\frac{\sin N}{IM}=\frac{\sin M}{IN}=\frac{\sin I}{NM}

Take the equation to find the measure of NM.

\frac{\sin N}{IM}=\frac{\sin I}{NM}\text{Substitute }\angle N=135^o,\angle I=35^o,\text{ and IM=10 in the equation.}

\frac{\sin 135^o}{10}=\frac{\sin35^o}{NM}

NM=\frac{\sin 35^o}{\sin 135^o}\times10NM=8.11

Hence the measure of NM is 8.1 km.

The plane is 8.1 km far from the mountain when the second bearing is taken.

5 0
1 year ago
What is the rate of change and initial value for the linear relation that includes the points shown in the table?
uysha [10]
X   1 2 3
y 10 8 6
So find the slope m:  (6-10)/(3-1) = -4/2 = -2
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So
<span>Initial value: 12, rate of change: −2

</span>
4 0
3 years ago
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