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3 years ago

Please help properties of exponents

Mathematics

1 answer:

defon3 years ago

3 0

Answer:

Step-by-step explanation:

3. $c^{11}$ add exponents

4. $m^{60}$ multiply exponents

5. $x^{6} y^{18}$ distribute and multiply exponents

6. $-21 a^{47} *b$ multiply and then add exponents

7. $100 a^{14} b^{4} c^{12}$ distribute and multiply exponents

8. $n^{22}$ multiply and then add exponents

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Find the solution of the system of equations.

irina1246 [14]

Answer:

x = -5 ; y= -1

Step-by-step explanation:

10y = -10

y = -1

-8x = 44 -4

-8x = 40

x = -5

4 0

3 years ago

The circle described by the equation <img src="https://tex.z-dn.net/?f=%28x-3%29%5E%7B2%7D%20%2B%28y%2B4%29%5E%7B2%7D%3D9" id="T

ElenaW [278]

Answer:

The point at which center of the image circle located is (-2, -3) so second option is correct.

Step-by-step explanation:

Given equation of circle is:

$(x-3)^{2} + (y+4)^{2} = 9$ (i)

The general equation of circle is mentioned below,

$(x-h)^{2} + (y-k)^{2} = r^{2}$ (ii)

Here 'r' represents the radius of the circle and (h,k) shown the center of the circle.

By comparing equation (i) and equation (ii), we get

r^2 = 9

r = 3

$(x-3)^{2} = (x-h)^{2}$

$(x-3) = (x-h)$

$h = 3$

$(y+4)^{2} = (y-k)^{2}$

$(y+4) = (y-k)$

$k = -4$

So the center of given circle is (h,k) = (3,-4)

Also, the circle is translated 5 units left, that is towards the -x-axis. Therefore h = 3 - 5 = -2

Also, the circle is translated 1 unit up, that is towards the +y-axis. Therefore k = -4 + 1 = -3

Hence, the point at which center of the image circle located is (-2, -3) so second option is correct.

6 0

3 years ago

Read 2 more answers

If 2a-8=4 and 3b-8=10, what is the value of a+b?

Irina-Kira [14]

A=6
2*6=12
12-8=4
B=6
3*6=18
18-8=10

3 0

3 years ago

Read 2 more answers

Jacqueline practiced drums four times last week for sessions of 40 minutes, 35 minutes, 45 minutes, and 30 minutes. Cassie pract

Vedmedyk [2.9K]

What are the statement options? If I had to guess it would be Jacqueline practiced 150 minutes all week and Cassie practiced 110 minutes so Jacqueline practiced more minutes in fewer sessions than Cassie.

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3 years ago

Consider the inequality -3 < x < 6.<br> Whats the endpoint of this interval

Nostrana [21]

Answer:5

Step-by-step explanation:

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3 years ago