8/6 or 1 2/6 or 1 1/4
Explanation:
1/4 + 1/4 = 2/4
2/4 = 3/6
5/6 + 3/6 = 8/6
8/6 simplified is 1 2/6 or 1 1/4
Use a linear approximation to
centered at
:

Then

which makes C the most likely choice.
Parallel means it must have the same slope so assuming you meant y=3/2x+4 the slope will remain 3/2
Then you just plug in the coordinates they give you
-3=(3/2)(2)+b
-3=3+b
b=-6 (b is the y intercept)
Final answer: y=3/2x-6
Answer:
The values of x and y are x = 6 and y = 9Step-by-step explanation:
MNOP is a parallelogram its diagonal MO and PN intersected at point A
In any parallelogram diagonals:
Bisect each other
Meet each other at their mid-point
In parallelogram MNOP
∵ MO and NP are its diagonal
∵ MO intersect NP at point A
- Point A is the mid-point pf them
∴ MO and NP bisect each other
∴ MA = AO
∴ PA = AN
∵ MA = x + 5
∵ AO = y + 2
- Equate them
∴ x + 5 = y + 2 ⇒ (1)
∵ PA = 3x
∵ AN = 2y
- Equate them
∴ 2y = 3x
- Divide both sides by 2
∴ y = 1.5x ⇒ (2)
Now we have a system of equations to solve it
Substitute y in equation (1) by equation (2)
∴ x + 5 = 1.5x + 2
- Subtract 1.5x from both sides
∴ - 0.5x + 5 = 2
- Subtract 5 from both sides
∴ - 0.5x = -3
- Divide both sides by - 0.5
∴ x = 6
- Substitute the value of x in equation (2) to find y
∵ y = 1.5(6)
∴ y = 9
The values of x and y are x = 6 and y = 9
This construction demonstrate that the set of points equidistance from the endpoints of a line segment is the perpendicular bisector of the segment