Answer:
x = 3
y = 2
Step-by-step explanation:
Diagonals of a parallelogram bisect each other into two equal segments. Therefore:
3x - 1 = 2(x + 1)
Solve for x
3x - 1 = 2x + 2
Collect like terms
3x - 2x = 1 + 2
x = 3
Also:
5y + 1 = 6y - 1
Collect like terms
5y - 6y = -1 - 1
-y = -2
Divide both sides by -1
y = -2/-1
y = 2
Answer:
14x + 8
Explanation:
⇒ 4(5x+5) - 3(2x + 4)
distribute inside parenthesis
⇒ 4(5x) + 4(5) - 3(2x) - 3(4)
multiply the variables
⇒ 20x + 20 - 6x - 12
collect like terms
⇒ 20x - 6x + 20 - 12
subtract like term
⇒ 14x + 8
Answer:
i.900
j.6
k.8
l.0
Step-by-step explanation:
hope this helps you ;)
Answer:
#16 = (0, -10)
#17 = (-18, -3)
Step-by-step explanation:
U wouldn't use the distance formula, you would need to use the Midpoint Formula, which is, M = (x1 + x2 / 2, y1 + y2 / 2). For #16, you plug in (4, -5) for M and 8 for x1 and 0 for y1, so the equation should look like this : (4, -5) = (8 + x2 / 2, 0 + y2 / 2). Then separate the equation to make it easier: 4 = 8 + x2 / 2 and the second equation : -5 = 0 + y2 / 2. So let's do the 1st equation, the first step would be to multiply the 2 to both sides. So the equation should look like this, 8 = 8 + x. Then subtract the 8 from both sides and you get 0 as your x. Now moving on to the 2nd equation, you multiply the 2 to both sides, and you get, -10 = 0 + y, as your equation, but since 0 won't affect it, -10 should be your y. Then just use these steps to solve #17, and your answer should be (-18, -3).
