Answer:
(-3, 4)
Step-by-step explanation:
2x = y - 10 (y = x +7) so
2x = x +7 - 10
2x = x -3
x = -3
-3 + 7 = y
4 = y
Answer:
x=0, 3/2, -1, -5/3
Step-by-step explanation:
The x-axis interception points of x(4x-6)(x+1)(3x+5): (0, 0), (3/2, 0), (-1, 0), (-5/3, 0)
The y-axis interception points of x(4x-6)(x+1)(3x+5): (0,0)
So the answer is 0, 3/2, -1, and -5/3.
Answer:
{0, 150} degrees
Step-by-step explanation:
Given 2cos^2x-cost-1=0, let's simplify this problem by temporarily replacing cos x with y:
2y^2 - y -1 = 0
This can be solved by factoring: (2y + 1)(y - 1) = 0. From this we get two solutions: y = -1/2 and y = 1.
Remembering that we let y = cos x, we now solve:
cos x = -1/2 and cos x = 1.
Note that cos x = 1 when x = 0 and the "adjacent side" coincides with the hypotenuse.
cos x = -1/2 when the hypotenuse is 2 and the "adjacent side" is -1. This has two solutions between 0 and 360 degrees: 150 degrees and 270 degrees.
Four answer choices are given. Both (a) (0 degrees) and (b) (150 degrees) satisfy the original equation. Thus, the solution set is {0, 150} (degrees).
Answer:
The horizontal line is the x-axis and the vertical line is the y-axis.
Step-by-step explanation:
The horizontal line is the x-axis and the vertical line is the y-axis. It's a fact. You can graph the lines by inserting the equations using the graphing calculator, which is the tab next to the one you have right now ;)
