Answer:
Step-by-step explanation:
Slope intercept form of a line is given by:
Where
m is the slope and b is the y-intercept
Given slope is 
We can write:
Now to find b, we replace x with -3 and y with -4, given, so we have:
So, the equation is:
Now,
The standard form is given by:
So, we take x and y to left side and the constant to right side. Rearranging, we get:
The first answer choice is right.
Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
Answer:
Step-by-step explanation:
12P3 = 12! / (12-3)!
= 12*11*10
= 1320.
8C7 = 8!/7! *(8-7)!
= 8.
Answer:
B. All diagonal matrices are square matrices.
C. The size of any square matrix is m x m, where m is a positive integer.
Step-by-step explanation:
You can figure the line for each pair of points, or you can try the points in the equation you have and see which are on the line.
First answer: x=1, y=-5×1 +4 = -1 . . . not 9. (1, 9) is not a point on the line
Second answer: x=2, y=-5×2 +4 = -6 . . . not -14. (2, 14) is not a point on the line
Third answer: (see the calculation for the first answer) . . . -1 ≠ 1. (1, 1) is not a point on the line
Fourth answer: (see the calculation for the second answer) We know that (2, -6) is on the given line. Checking (4, -16), we find it is as well.
The appropriate choice is the 4th answer:
... a line passing through the points (2, -6) and (4, -16)
