1. F(3)= -2(3)-5
-6-5
F(3)=-11
2. F(3)= -2(3)^2-4
-6^2-4
36-4
F(3)=32
3. F(x)=−2x−5
For: x=−2, f(x) is:f(−2)=(−2×−2)−5=4−5=−1
For: x=−1, f(x) is:f(−1)=(−2×−1)−5=2−5=−3
For: x=1, f(x) is:f(1)=(−2×1)−5=−2−5=−7
For: x=2, f(x) is:f(2)=(−2×2)−5=−4−5=−9
The Range is:
{−1,−3,−7,−9}
4. -80, -110
14.
Angles 4 and 6 are supplementary, because they are on the same line. Supplementary angles add up to 180 degrees, and a line must be 180 degrees.
15.
Angles 1 and 8 are congruent, because they are alternate exterior angles
16.
m = y2 - y1 / x2 - x1
m = 7 - 2 / 4 - 5
m = 5 / -1
m = -5
17.
m = 3 - 3 / 7 - (-5)
m = 0 / 12
m = 0
18.
m = 1 - (-2) / 5 - (-4)
m = 3 / 9
m = 1/3
19.
A = (0, 3) - B = (3,0)
m = 0 - 3 / 3 - 0
m = -3 / 3
<em>m = -1</em>
C = (0, -2) - D = (4, 2)
m = 2 - (-2) / 4 - 0
m = 4 / 4
<em>m = 1</em>
Perpendicular, because the slopes are opposite reciprocals.
20.
E = (1, 2) - F = (0, 0)
m = 0 - 2 / 0 - 1
m = -2 / -1
<em>m = 2</em>
G = (1, -3) - H = (3, 0)
m = 0 - (-3) / 3 - 1
<em>m = 3 / 2</em>
Neither, because the slopes are different.
21.
I = (0, 1) - J = (2, -4)
m = -4 - 1 / 2 - 0
<em>m = -5/2</em>
K = (-1, -2) - L = (4, 0)
m = 0 - (-2) / 4 - (-1)
<em>m = 2/5</em>
Perpendicular, because the slopes are opposite reciprocals.
22.
M = (-2, 2) - N = (2, 2)
Horizontal line
<em>m = 0</em>
O = (3, 0) - P = (-3, 0)
Horizontal line
<em>m = 0
</em>Parallel, because the slopes are the same.
<em>
</em>23.
Angle 2 is congruent to angle 1 because of the alternate exterior angle theorem.
Angle 1 is congruent to angle 3 because of the vertical angle theorem.
Angle 2 is congruent to angle 3 because of substitution.
Line l is parallel to line m because the corresponding angles are congruent.
Answer:
Step-by-step explanation:
2x - 9y = 23
5x - 3y = -12x - 9y = 23
5x - 3y = -1
Answer:
I think it's C if it's not C i'm sorry
Step-by-step explanation:
Answer:
The answer is -4
Step-by-step explanation:
-2x-6<=1
-2(-4)-6<=1
8-6<=1
2<=1 which is False
-2x-6<=1
-2(-3)-6<=1
6-6<=1
0<=1 which is True
-2x-6<=1
-2(-2)-6<=1
4-6<=1
-2<=1 which is True
-2x-6<=1
-2(-1)-6<=1
2-6<=1
-4<=1 which is True