Step-by-step explanation:
33x
Use the distance formula:
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Plug in the given coordinates:
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Simplify:
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You can leave it as:

or in decimal form as: 7.2
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Answer:
The GCF of 25 and 35 is 5.
Explanation:
One way to find the GCF is to find the prime factorization of each number. So,
25=52
35=5⋅7
Now, we can find all the factors 25 and 35 have in common. We see that 25 and 35 both have a 5, but not 52 because 35 only has one 5.
35 also has a 7, but that is not in the prime factorization of 25, so we do not include it. Since there is only one common factor which is 5, that is our "greatest common factor
Consider the attached figure. If AB has length 1, then BC has length sin(15°) and CD (the altitude of triangle ABC) has length sin(15°)·cos(15°).
By the double angle formula for sin(α), ...
... sin(2α) = 2sin(α)cos(α)
Rearranging, this gives
... sin(α)·cos(α) = sin(2α)/2
We have
... CD = sin(15°)·cos(15°) = sin(2·15°)/2
... CD = sin(30°)/2 = (1/2)/2 = 1/4
That is, the altitude, CD, is 1/4 the hypotenuse, AB, of triangle ABC.
Answer:
Option C
Step-by-step explanation: