Answer:
y + 7 = -
(x - 1)
Step-by-step explanation:
The equation of a line in point- slope form is
y - b = m(x - a)
Where m is the slope and (a, b) a point on the line
Here m = -
and (a, b) = (1, - 7), thus
y - (- 7) = -
(x - 1), that is
y + 7 = -
(x - 1) ← in point- slope form
Answer:
a = 14
Step-by-step explanation:
Because angles x and w are equal, sides 14 and a are also equal.
We can immediately conclude that a = 14.
This will be a 4th degree polynomial. Our root of x = 7 in factorization form is (x-7). Our root of x = -11 in factorization form is (x+11) and the last one is a complex number. According to the conjugate root theorem, if we have 2+8i, we also HAVE to have 2-8i. In factorization form that first one is (x-(2+8i)) which simplifies to (x-2-8i). Its conjugate in factorization form is (x-2+8i). Now we will FOIL all that out. Let's start with the (x-2-8i)(x-2+8i). That multiplies out to

. We have to combine like terms here to shorten that a bit.

. i^2 is equal to -1, and -1(64) = -64. Now we have

. That is

. Now let's FOIL in another factorization.

. That comes out to

. One more term to go!

. That, finally, is

.
Step-by-step explanation:
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