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astraxan [27]
2 years ago
13

6^c • 6^d = 216 What is c + d?

Mathematics
1 answer:
anzhelika [568]2 years ago
6 0

<u>Answer</u>:

c  + d = 3

<u>Steps</u>:

  • 6^c *  6^d = 216

  • 6^{c + d} = 216

  • 6^{c + d} = 6^3

  • c  + d = 3

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X to the power of 8
When dividing powers, you subtract the "small numbers". When multiplying, you add them. 3-(-5) = 8

Hope it helps!
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4. Divide z(5z2 - 80) by 5z (z+4)​
insens350 [35]

Answer:

z-4

Step-by-step explanation:

z(5z²-80) ÷ 5z(z+4) = z-4

Step-by-step explanation:

Given: z(5z²-80) ÷ 5z(z+4)

Calculation:

First we factor numerator z(5z²-80)

Take out 5 from 5z²-80 and we get 5z(z²-16)

Now we factor 16 = 4²

5z(z²-4²)

Using formula, (a²- b²)=(a+b)(a-b)

5z(z²- 4²)⇒5z(z+4)(z-4)

Simplified fraction

5z(z+4)(z-4) ÷ 5z(z+4)

Cancel like factor from numerator and denominator

⇒ z-4

Thus, z(5z²-80) ÷ 5z(z+4) = z-4

5 0
3 years ago
Andrew is going to drive from his house to City A without stopping. Andrew's house
Gwar [14]

Answer:

D=160-13 1/3t

Step-by-step explanation:

D is distance in this instance

We are using y=mx+b for this.

The initial distance is 160 miles, that's our y-intercept or <em>b</em><em>.</em>

Now we need to find our slope. If Andrew is 40 miles away in 3 hours, he is 13 and 1/3 miles away in 1 hour. It's negative because you are subtracting from the initial distance. You can keep that as an improper fraction if that makes it easier for you.

Now plug it in

Distance=13 1/3 miles times <em>how</em><em> </em><em>many</em><em> </em><em>hours</em><em> </em>subtracted from 160 or D=-13 1/3+160. This can be rearranged to the answer above.

4 0
3 years ago
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