X intercept is when the function (y) = 0.
0 = 4 - (x+3)^2
(x+3)(x+3) = 4
x^2 + 6x + 9 = 4
x^2 + 6x + 5 = 0
To factor, we find what multiplies to 5 and adds to 6. In this case, it’s 5 and 1.
(x+5)(x+1) = 0
x values of the intercepts are -5 and -1.
The coordinates are (-5,0) and (-1,0).
Need more information on the choice, please provide
Answer:
C = (2, 6)
Step-by-step explanation:
The coordinates of point C can be found as the weighted average of the endpoint coordinates. The weights are the reverse of the relative segment lengths.
For AC : CB = 3 : 1, we have ...
C = (A +3B)/(1+3) = ((-1, 0) +3(3, 8))/4 = (-1+9, 0+24)/4
C = (2, 6)
6x + 4y = 800
-6x -6x
--------------------
4y = -6x + 800
÷4 ÷4 ÷4
---------------------
y = -6/4x + 200
First subtract, then divide, and then you have it. 6/4 is your slope. Your rise is -6 and your run is 4.