Answer:
Step-by-step explanation:
<em>See the drawing attached</em>
<h3>Given</h3>
- C is midpoint of AB
- B is between A and D
- AD = 15
- BD = 7
- Find CD
<h3>Solution</h3>
- CD = CB + BD =
- 1/2AB + BD =
- 1/2(AD - BD) + BD =
- 1/2(15 - 7) + 7 =
- 1/2(8) + 7 =
- 4 + 7 =
- 11
Use a calculator called symbolab.com
Answer:
Step-by-step explanation:
The given equation is
For this function to have an inverse, we must restrict the domain, say
We interchange x and y to get,
We now make y the subject to get;
We divide through by 16 to get;
We now take the square root of both sides to get;
Since , the inverse function is
We can expand the logarithm of a product as a sum of logarithms:
Then using the change of base formula, we can derive the relationship
This immediately tells us that
Notice that none of can be equal to 1. This is because
for any choice of . This means we can safely do the following without worrying about division by 0.
so that
Similarly,
so that
So we end up with
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Another way to do this:
Then
So we have
Answer:
s + 16 ≤ −80
Step-by-step explanation:
Analyze each part in the word equation:
"16 more than s" s increased by 16; s + 16
"is at most" is equal to or less than; ≤
"−80" -80
Put the equation back together:
s + 16 ≤ −80