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fiasKO [112]
3 years ago
11

Simplify 7 to the 6th power times 7 to the 5th power

Mathematics
1 answer:
guapka [62]3 years ago
3 0

The answer would be 7 to the 11th power

when multiplying exponents, just add the exponents together

6 + 5 = 11 :)

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What is the equation of the line that passes through the point (8, -4) and<br> has a slope of 1/2
Eva8 [605]

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y = \frac{1}{2}x - 8

Step-by-step explanation:

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For this problem, the format of a line that will be used is, slope-intercept form;

y = mx + b

Where (m) is the slope of the line, also known as the change in the line and (b) is the y-intercept, or where the graph of the line intersects the y-axis. Since, in this problem, the slope of the line is given, all one has to do is substitute in a point on the given line and solve.

2. Finding the equation,

In this problem, the slope of the line is given. Therefore, to solve this problem, all one has to do is substitute in a point on the given line and solve.

y = mx + b

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Substitute in the point,

-4 = \frac{1}{2}(8) + b

Simplify,

-4 = 4 + b

Inverse operations,

-4 = 4 + b\\-4\\\\-8 = b

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Now, that one has y-intercept, (-8); use the given slope and the formula y = mx + b,  substitute in all the information.

y = \frac{1}{2}x - 8

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