Answer:
Hence, the correct option is;
They are parallel because they have the same slope of -2
Step-by-step explanation:
Here we have;
AB falls on the line 6x + 3y = 9..........................(1)
CD falls on the line 4x + 2y = 8..........................(2)
Therefore, for equation (1),
3y = 9 - 6x which gives;
y = -2x + 3
for equation (2),
2y = 8 - 4x which gives;
y = -2x + 4
The equation of a straight line is y = m·x + c
Where:
m = Slope
c = Intercept
Hence, since, by comparison to the equation of a straight line, both lines have the same slope of -2, but different intercept, we have that both lines are parallel
Hence, the correct option is;
They are parallel because they have the same slope of -2.
Your equation would look a lot like this
c(t) = 8.5t + $40
love, the Pineapple.
The common difference in this sequence is 6
The sum of n terms of an arithmetic sequence is given by:
S = n/2 [2a₁ + (n - 1)d]
S = 22/2 [2(8) + (22 - 1)(6)]
S = 1562
The answer is C
Answer: She bought 68 books.
Step-by-step explanation:
Subtract 31 from 99 to find the difference! The difference tells us how many books she bought at the yard sale.
Answer:
r = -7
Step-by-step explanation:
Solve for r:
-6 (2 r - 2) = 40 - 8 r
Expand out terms of the left hand side:
12 - 12 r = 40 - 8 r
Add 8 r to both sides:
8 r - 12 r + 12 = (8 r - 8 r) + 40
8 r - 8 r = 0:
8 r - 12 r + 12 = 40
8 r - 12 r = -4 r:
-4 r + 12 = 40
Subtract 12 from both sides:
(12 - 12) - 4 r = 40 - 12
12 - 12 = 0:
-4 r = 40 - 12
40 - 12 = 28:
-4 r = 28
Divide both sides of -4 r = 28 by -4:
(-4 r)/(-4) = 28/(-4)
(-4)/(-4) = 1:
r = 28/(-4)
The gcd of 28 and -4 is 4, so 28/(-4) = (4×7)/(4 (-1)) = 4/4×7/(-1) = 7/(-1):
r = 7/(-1)
Multiply numerator and denominator of 7/(-1) by -1:
Answer: r = -7