<span>The vertex form of a quadratic is given by. y = a(x – h)2 + k, where (h, k) is the vertex. The "a" in the vertex form is the same "a" as. in y = ax2 + bx + c (that is, both a's have exactly the same value). The sign on "a" tells you whether the quadratic opens up or opens down.</span><span>
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D=dog's weight
c=cat's weight
d=7c
d+c=72
sub 7c for d
7c+c=72
8c=72
divide both sides by 8
c=9
d=7c
d=7(9)
d=63
dog=63lb
Prime factorization means that we divide 90 by prime numbers only.
90 ÷ 2 = 45
45 ÷ 3 = 15
15 ÷ 3 = 5
2 x 3 x 3 x 5 = 90
2 x 3² x 5 = 90
or 2,3,3,or 5
Step-by-step explanation:
line 1 and 2 : parallel
as line 2 is actually
6x + 2y = 8
2y = -6x + 8
y = -3x + 4
so, they have the same slope (factor of x).
line 1 and 3 : neither
the slopes -3 and 3 are not parallel not perpendicular (90°).
line 2 and 3 : neither
as line 2 is parallel to line 1, it has the same relationship to line 3 as line 1.
Answer: the answer is y - 4 = (x + 2)
Step-by-step explanation:
