Answer:
B.) y=-4x-2
Step-by-step explanation:
If the line is parallel, the slope is the same
y = -4x-5 has a slope of -4, so the new line has a slope of -4
We have a slope and a point, so we can use point slope form
y-y1 = m(x-x2)
y-6 = -4(x--2)
y-6 = -4(x+2)
Distribute
y-6 =-4x -8
Add 6 to each side
y-6+6 = -4x-8+6
y = -4x-2
The complete proof statement and reason for the required proof is as follows:
Statement Reason
m<PNO = 45 Given
MO Given
<MNP and <PNO are a
linear pair of angles Definition of linear pairs of angles
<MNP and <PNO are
supplementary angles Linear Pair Postulate
m<MNP + m<PNO = 180° Definition of supplementary angles
m<MNP + 45° = 180° Substitution property of equality
m<MNP = 135° Subtraction property of equality
Answer:
rectangle
A = l x w
3x5=15
triangle
= 1/2 bh
1/2 x 3 x 1 1/2 =0.75
Step-by-step explanation:
rombus=
a=xy
3x5=15
30+0.75=30.75
Answer:
-39
Step-by-step explanation:
This sequence follows the pattern of subtracting 7 each time. We can prove this:
31 - 7 = 24, 24 - 7 = 17, 17 - 7 = 10
So if we were to continue to the 11th term, we would subtract 7 more times.
1. 10 - 7 = 3
2. 3 - 7 = -4
3. -4 - 7 = -11
4. -11 - 7 = -18
5. -18 - 7 = -25
6. -25 - 7 = -32
7. -32 - 7 = -39
The 11th term in the sequence would be -39.
