We know that
if two lines are perpendicular
then
the slopes
m1*m2=-1
step 1
find the slope AB
A (0,2)
B (-3,-3)
m=(y2-y1)/(x2-x1)-----> m=(-3-2)/(-3-0)-----> m=-5/-3----> m1=5/3
step 2
find the slope CD
C (-4,1)
D (0,-2)
m=(y2-y1)/(x2-x1)-----> m=(-2-1)/(0+4)-----> m=--3/4----> m2=-3/4
step 3
multiply mi*m2
(5/3)*(-3/4)-----> -15/12
so
15/12 is not -1
therefore
AB is not perpendicular to CD
78....................................................
Answer:
Option B
Step-by-step explanation:
<WXV = <YXZ (Vertically opposite angles are congruent.)
Answer:
1. 2/5
2. 4/5
3. -3/-6
4. -5/-3
5. 1/4
6. 1
7. 3/12 or 1/4
8. 1/-2
9. 3/2
10. 1
11. 24/-1
12. 13
13. 9/17
14. 28/-16
15. -17/14
16. -13/6
Step-by-step explanation:
Through problems 1-6, use the rise/run method to find the slope.
Through questions 7-16, use the y2-y1/x2-x1 formula.
Hope this helped!
(3x + 4)2 = 14
(3x + 4)2 means that 2 will multiply both 3x and 4
2 * 3x = 6x 2 * 4 = 8
6x + 8 = 14
Move +8 to the other side of the equation
6x = 14 - 8 Note : Moving +8 to the other side will change the sign in front of it, that is from + to -
6x = 14 - 8
6x = 6
Divide both sides by 6 because of the 6 beside the x : 6x
6x/6 = 6/6
x = 1
