Answer:
D
Step-by-step explanation:
The first and last sequence have a common difference in them. The first having d = 4 and the second having d = 7.
The second and third have a common ratio instead and are geometric sequences. The second has r = 2, and the third having r = (-3)
Step-by-step explanation:
- 8-2x<u><</u><u> </u><u>5</u>
- -2x<u><</u>5-8
- x<u><</u><u> </u>-3/-2
- x<u><</u>1.5
hope it helps.
RS => y - 5 = (8 - 5)/(1 - (-1)) (x - (-1))
y - 5 = 3/2 (x + 1) => slope = 3/2
ST => y - 8 = (-2 - 8)/(7 - 1) (x - 1)
y - 8 = -10/6 (x - 1) = -5/3 (x - 1) => slope = -5/3
TU => y - (-2) = (0 - (-2))/(2 - 7) (x - 7)
y + 2 = 2/5(x - 7) => slope = 2/5
UR => y = 5/(-1 - 2) (x - 2)
y = -5/3 (x - 2) => slope = -5/3
The median is the line joining the midpoints of the non-parallel sides.
Midpoint of RS = ((-1 + 1)/2, (5 + 8)/2) = (0, 13/2)
Midpoint of TU = ((7 + 2)/2, -2/2) = (9/2, -1)
Equation of the line joining (0, 13/2) and (9/2, -1) is given by y - 13/2 = (-1 - 13/2)/(9/2) x
y - 13/2 = (-15/2)/(9/2) x
y - 13/2 = -15/9x
18y - 117 = -30x
30x + 18y = 117
Answer:
P=3
Step-by-step explanation:
Step 1: Simplify both sides of the equation.
−2=5p+3p−8−6p
−2=5p+3p+−8+−6p
−2=(5p+3p+−6p)+(−8)(Combine Like Terms)
−2=2p+−8
−2=2p−8
Step 2: Flip the equation.
2p−8=−2
Step 3: Add 8 to both sides.
2p−8+8=−2+8
2p=6
Step 4: Divide both sides by 2.
2p2=62
p=3
