Answer:
acute
Step-by-step explanation:
Evaluate the angle C = (11x + 85)/3 at x = 13:
C(13) = (143 + 85)/3, or 76 degrees. This is an acute angle (more than 0 and less than 90 degrees).
4(8) - 3 • 81
The first one
(a). 8x + y = 20, where (b). y = x2 - 2x + 4
So where y is in equation (a), substitute in the value of y in (b).
8x + (x2 - 2x + 4) = 20
8x + (4) = 20
Get rid of the 4 on both sides (since what you do to one side, you must do to the other)
8x + 4 - 4 = 20 - 4
8x = 16
Get rid of the 8 to leave x on its own
8x ÷ 8 = 16 ÷ 8
x = 2
So now that you have x, find y but substituting in the value you just found (2) into one of the starting equations.
8x + y = 20 where x is 2.
8(2) + y = 20
16 + y = 20
Minus 16 from both sides
y = 20 - 16 = 4
So x is 2 and y is 4
Answer: 6630
Step-by-step explanation:
Given , Number of documentaries = 17
Number of children's movies = 20
Total movies = 17+20=37
Number of combinations of r things taken out of things = 
Now, the number of different combinations of 3 movies can she rent if she wants at least one documentary
= (1 documentary+2 children's movies , 2 documentary+1 children's movies , 3 documentary+0 children's movies)
Hence, the number of different combinations of 3 movies can she rent if she wants at least one documentary is 6630 .
Answer/Step-by-step explanation:
The equation of the line that passes through the two points would be correct if each point, when substituted into the equation, satisfy the equation.
This is what I mean:
Given the equation of the line, y = 2x - 5, and the two points (-2, -9) and (3, 1):
For the first point, substitute x = -2, and y = -9 into y = 2x - 5.
Thus:
-9 = 2(-2) - 5
-9 = -4 - 5
-9 = -9 (this is true). It means the line runs through the point (-2, -9)
For the second point, substitute x = 3, and y = 1 into y = 2x - 5
This:
1 = 2(3) - 5
1 = 6 - 5
1 = 1 (this is true). This also means the point, (3, 1) is also a point that the equation runs across.
