Answer:
8) x = 5.41
9) x = 45
10) x = 2.25
Step-by-step explanation:
8) 17/15 = 10/(2x-2)
150 = 34x - 34
reduce:
34x = 184
x = 5.41
9) 6/16 = (x-12)/(2x-2)
16x - 192 = 12x - 12
reduce:
4x = 180
x = 45
10) (x-9)/15 = (2x-9)/10
10x - 90 = 30x - 135
reduce:
20x = 45
x = 2.25
Given the following points:
Point P: (-4, 3)
Point Q: (9, 14)
To be able to find the midpoint of the line segment, we will be using the following formula:
We get,
Therefore, the midpoint of the line segment is 5/2, 17/2.
B)Line 1 and 2 - parallel
Line 1 and 3 - perpendicular
Line 2 and 3 - perpendicular
Answer:
x = 20
y = 8
In a parallelogram, there are always two pairs of equal sides, where in this question:
Side CD = Side BA
Side DA = Side CB
Use this to find x and y.
CD = BA
15 = x - 5
x = 20 (rearranging to find x)
DA = CB
y = 8
Gradient = 7-(-1)/4-3
= 8
when x = 3, y = -1,
y = 8x + c
-1 = 8(3) + c
c = -1 - 24
= -25
the equation of the line is y = 8x - 25.
