Y - x - 3 = 0
y = x + 3
y = x^2 - x - 12
x + 3 = x^2 - x - 12
x^2 - x - 12 - x - 3 = 0
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x - 5 = 0 y = x + 3
x = 5 y = 5 + 3
y = 8
x + 3 = 0 y = x + 3
x = -3 y = -3 + 3
y = 0
so ur solutions are : (5,8) and (-3,0)
By Sine Rule,
x/sin30° = 8/sin90°
x/0.5 = 8/1
So x = 4.
Answer:
The slope is 3/4 and on a graph it would be 4 over to the right and 3 down.
Given the sequence:
6, 10, 14, 18,...
We will find the 75th term
The given sequence is an arithmetic sequence
Because there is a constant common differnce
d = 18 - 14 = 14 - 10 = 10 - 6 = 4
The first term = a = 6
The general formula of the arithmetic sequence is as follows:

Where: n is the nth term
To find the 75th term, substitute with n = 75 and a = 6, d = 4

So, the answer will be the 75th term = 302
Answer:
164=82+82 or 164=82 x 2
Step-by-step explanation:
Hope that works