By looking at the graph you can rule out choices C and D because the graph given to you is an increasing linear function and C and D represent functions with a decreasing or negative slope.
By looking at the picture the slop of the graph seems to be 4/1 (rise/run) so your slope is 4. And your y-intercept looks like its -4 so your answer is B<span />
Answer:
5) x = 1, y = -3
6) x = -20, y = 2
7) infinite solutions
8) no solutions
Step-by-step explanation:
5)
y = 5x - 8
y = -6x + 3
5x - 8 = -6x + 3
11x = 11
x = 1
y = 5 - 8
y = -3
6)
2x + 10y = -20
-x + 4y = 28
2x = -20 - 10y
x = - 10 - 5y
-x = 28 - 4y
x = -28 + 4y
-10 - 5y = -28 + 4y
-10 + 28 = 4y + 5y
18 = 9y
2 = y
2x + 20 = -20
2x = -40
x = -20
7)
this has infinite solutions because one equation is a simplified version of the other
8)
this has no solutions because 5 does not equal -5
9)
I can't graph on brainly, hope this helped though
This does not appear to be a right triangle. However, we know 2 sides and the included angle, so can find the unknown side length. Let x represent this length. Then:
x^2 = (9 m)^2 + (12 m)^2 - 2(9m)(12 m)*cos 30 degrees, or
x^2 = 81 + 144 - 216(sqrt(3) / 2). Please solve for x^2 and then solve the result for x, making sure to choose the positive value. The result will be the length of the side opposite the 30 degree angle.
With 1 of 3 angles known, and 3 of 3 sides known, you can use the Law of Sines to find the other two angles. As a reminder, the Law of Sines looks like this:
a b c
-------- = --------- = ----------
sin A sin B sin C.
You can give the 30-deg angle any name you want; then a, the length of the side opposite the 30-deg angle, which you have just found. And so on.
