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1 year ago

Simplifyx to the -6 power_________x to the 8 powerwrite your answer with a positive exponent only

1 answer:

6 0

$\begin{gathered} \frac{x^{-6}}{x^8} \\ \text{using law of indicies} \\ x^{-6-8} \\ x^{-14} \\ \frac{1}{x^{14}} \end{gathered}$

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How to solve 30+(4x+2)=8+6x)

Gennadij [26K]

Answer:

Step-by-step explanation:

30+(4x+2)=8+6x

30+4x+2=8+6x

32+4x=8+6x

32=8+6x-4x

32=8+2x

2x=32-8

2x=24

x=24/2

x=12

4 0

3 years ago

Read 2 more answers

What are the angles of a triangle with the sides 10, 8, 7

Snezhnost [94]

Angle ∠ A = α = 44.049° = 44°2'55″ = 0.769 rad
Angle ∠ B = β = 52.617° = 52°37' = 0.918 rad
Angle ∠ C = γ = 83.335° = 83°20'4″ = 1.454 rad

4 0

3 years ago

Read 2 more answers

For 9 and 9A, find the slope of the line

djverab [1.8K]

For this case we have that by definition, the slope of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}$

Where:

$(x_ {1}, y_ {1})$ and $(x_ {2}, y_ {2})$ are two points through which the line passes.

Question 1:

According to the image, we have the following points:

$(x_ {1}, y_ {1}) :( 2, -6)\\(x_ {2}, y_ {2}): (- 6,5)$

Substituting we have:

$m = \frac {5 - (- 6)} {- 6-2} = \frac {5 + 6} {- 8} = \frac {11} {- 8} = - \frac {11} {8}$

Thus, the slope is: $- \frac {11} {8}$

Question 2:

According to the image, the line goes through the following points:

$(x_ {1}, y_ {1}): (- 1,2)\\(x_ {2}, y_ {2}) :( 2, -2)$

Substituting we have:

$m = \frac {-2-2} {2 - (- 1)} = \frac {-4} {2 + 1} = \frac {-4} {3} = - \frac {4} {3}$

Thus, the slope is: $- \frac {4} {3}$

Answer:

Slope 1: $- \frac {11} {8}$

Slope 2: $- \frac {4} {3}$

3 0

3 years ago

PLS HELP!! GIVING BRAINLIEST TO FIRST CORRECT ANSWER!!+50 POINTS

Elena-2011 [213]

Answer(s):

154 in²
3168/7 km²
38.5 m²

Revising the area of a circle formula

We already know that the area of a circle is expressed as $\pi r^{2}$ .

The "r" variable is known as the radius.

<h2><u>Solving each problem given:</u></h2><h3>Solving Problem 4:</h3>

We are given the radius of circle, which is 7 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

$\implies \pi (7)^{2}$

$\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)^{2}$ <em> </em>

$\implies \huge\text{(}\dfrac{22}{7} \huge\text{)}(7)(7)$

$\implies (22)(7)$

$\implies 154 \ \text{in}^{2}$

<h3>Solving Problem 5:</h3>

In this problem, we are given the diameter to be 24 kilometers. Since the radius of the circle is half the diameter, we can tell that the radius of the circle is 24/2 kilometers, which is 12 kilometers.

$\implies \pi (12)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (12)(12)$

$\implies \dfrac{3168}{7} \ \text{km}^{2}$

<h3>Solving Problem 6:</h3>

We are given the radius of circle, which is 3.5 in. Let us substitute the radius in the formula. Once substituted, we can simplify the expression obtained to determine the area of the circle shown in the picture.

$\implies \pi (3.5)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)^{2}$

$\implies \huge\text{(}\dfrac{22}{7}\huge\text{)} (3.5)(3.5)$

$\implies \huge\text{(}\dfrac{22}{2}\huge\text{)} (3.5) = (11) (3.5)$

$\implies 38.5 \ \text{m}^{2}$

Note: <em>The radius given in this problem was not clearly stated. If the radius I stated here, is incorrect, please notify me in the comments. Thanks!</em>

Learn more about area of circles: brainly.com/question/12414551

3 0

2 years ago

A van,a moving company charges 50.00 plus 5.50 by per mile. The table shows the total cost for the number of miles drivin

Anna71 [15]

y = 55/10x + 50 is the equation to represent this situation

8 0

2 years ago