A line segment has a midpoint of (-3,2) and an endpoint of (-6,4). What is the other endpoint of the line segment?

1 answer:

3 0

Lets take the x and the y values individually.
So the endpoint x is -6 and the midpoint x is -3. The difference between the two is 3 values.
So if -6 is one end of x, then -3+3 will be the other end, which will be 0
The x value of the other endpoint is 0.
Now lets look at the y value. The endpoint is 4 and the midpoint is 2. The difference between the two is 2 values.
So if 4 is one end of y, then the other end of y will be 2-2= 0.
So the y value of the other endpoint is 0.
SO the coordinates of the other endpoint will be (0,0)

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Rewrite the form In exponential form: Log100 = x

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Answer:

$10^x=100$

Step-by-step explanation:

You know how subtraction is the opposite of addition and division is the opposite of multiplication? A logarithm is the opposite of an exponent. You know how you can rewrite the equation 3 + 2 = 5 as 5 - 3 = 2, or the equation 3 × 2 = 6 as 6 ÷ 3 = 2? This is really useful when one of those numbers on the left is unknown. 3 + _ = 8 can be rewritten as 8 - 3 = _, 4 × _ = 12 can be rewritten as 12 ÷ 4 = _. We get all our knowns on one side and our unknown by itself on the other, and the rest is computation.

We know that $3^2=9$ ; as a logarithm, the exponent gets moved to its own side of the equation, and we write the equation like this: $\log_3{9}=2$ , which you read as "the logarithm base 3 of 9 is 2." You could also read it as "the power you need to raise 3 to to get 9 is 2."

One historical quirk: because we use the decimal system, it's assumed that an expression like $\log1000$ uses base 10, and you'd interpret it as "What power do I raise 10 to to get 1000?"

The expression $\log100=x$ means "the power you need to raise 10 to to get 100 is x," or, rearranging: "10 to the x is equal to 100," which in symbols is $10^x=100$ .