Answer:
1.) 1-b, 2-a, 3-d, 4-c
Step-by-step explanation:
You recognize that the point-slope form of the equation for a line with slope m and point (h, k) is ...
... y - k = m(x - h)
____
Match this form to the given equations to determine (h, k). Once you determine (h, k) from the equation, find that point in the list of points to get your match-up. (All the slopes are correct, so you don't need to do any more work than just described.)
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For problems 3.) and 4.), use the above form with the given point and slope.
Answer:
Step-by-step explanation:
Recall Euler's theorem: if
, then

where
is Euler's totient function.
We have
- in fact,
for any
since
and
share no common divisors - as well as
.
Now,

where the
are positive integer coefficients from the binomial expansion. By Euler's theorem,

so that

Step-by-step explanation:
Adding 10 to both sides of the original equation gets us q = 6(r + 1) + 10. Since q is equal to h(r), we get h(r) = 6(r + 1) + 10 = 6r + 16.
Vertical angels is the answer