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:
y = -3/5x + c
Step-by-step explanation:
Re-arrange the initial equation so that the it becomes y =
To do this, you +3y on both sides to get 5x = 3y + 12
And then -12 on both sides to get 5x - 12 = 3y
Divide everything by 3 so you get 5/3x - 4 = y OR y = 5/3x - 4
The gradient of the initial equation is 5/3, to find the perpendicular line, you need the negative reciprocal of it, which is -3/5
Therefore your perpendicular line should be y = -3/5x + c
Because you didn't specify on what point they intersect, i can't find c for you.
Answer:
Step-by-step explanation:
<u>Given Data:</u>
Circumference = C = 443 ft
<u>Required:</u>
Diameter = d = ?
<u>Formula:</u>
d = C / π
<u>Solution:</u>
d = 443 / 3.14
d = 141.0 feet
d = 141 feet
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Hello! So, for the first inequality, we have to add 10 to both sides. When you do that, 3.5x > 7. Then, you have to divide both sides by 3.5. When you do that, you get x > 2. Then, for the second inequality, you have to add 9 to both sides, then you would get 8x < 48. Divide both sides by 8 and you get x < 6. The compound inequality for this question would be 2 < x < 6.
D) 13^(3/5)
This is assuming that the question is asking the √13^3. With the five as the yroot.
