5(9 + 7) = 5 x 9 + 5 x 7 = 45 + 35
Answer:
The slope of the line is
.
-
Step-by-step explanation:
☆Remember:

☆Just plug it in with 2 sets of coordinate points.


is a complex number that satisfies
![\begin{cases}r\cos x=-3\\[1ex]r\sin x=4\\[1ex]r=\sqrt{(-3)^2+4^2}\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7Dr%5Ccos%20x%3D-3%5C%5C%5B1ex%5Dr%5Csin%20x%3D4%5C%5C%5B1ex%5Dr%3D%5Csqrt%7B%28-3%29%5E2%2B4%5E2%7D%5Cend%7Bcases%7D)
The last equation immediately tells you that

.
So you have
![\begin{cases}\cos x=-\dfrac35\\[1ex]\sin x=\dfrac45\end{cases}](https://tex.z-dn.net/?f=%5Cbegin%7Bcases%7D%5Ccos%20x%3D-%5Cdfrac35%5C%5C%5B1ex%5D%5Csin%20x%3D%5Cdfrac45%5Cend%7Bcases%7D)
Dividing the second equation by the first, you end up with

Because the argument's cosine is negative and its sine is positive, you know that

. This is important to know because it's only the case that

whenever

. The inverse doesn't exist otherwise.
However, you can restrict the domain of the tangent function so that an inverse can be defined. By shifting the argument of tangent by

, we have

All this to say

So,

.
Answer:
x = 0.781 , y = -1.219
and
x = -1.281 , y = -3.281.
Step-by-step explanation:
Since both of the x terms are equal to y we can equate the x terms:-
-2x^2 = x - 2
2x^2 + x - 2 = 0
x = [-1 +/- √(1^2 - 4*2*-2) ] / 4
= ( - 1 +/- √(17)) / 4
= 0.781, -1.281.
When x = 0.781 y = 0.781 - 2 = -1.219.
when x = -1.281 , y = -1.281 - 2= -3.281.
Answer:
That would be D or the last graph