Four terms are used when grouping to factor.
2x + 5 = 3x - 45 [alternate interior angles]
3x - 2x = 5 + 45
x = 50
4y - 1 + 2x + 5 = 180 [supplementaly angles]
4y + 2(50) + 4 = 180
4y + 100 = 176
4y = 76
y = 19
Answer:
x=-2 and x=0
Step-by-step explanation:
5(x-2)^2 = 20; divide by 5 both sides
(x-2)^2 = 4; take the square root of both sides
(x-2) = ±2, now set it equal to positive 2 and negative 2
x-2 = 2
x=4
AND
x-2 = -2
x=0
X= 100°
180° - 57° = 123
x + 23°= 123°
x = 100°
Answer:
[6.5,-7.25]
Step-by-step explanation:
Given the partitioning ratio as 3:1
#Find the length of the x-coordinate and multiply by the ratio:
x length=9--1=10
=>
#We subtract 2.5 from the x-max to get the point=9-2.5=6.5
#Find the length of the y-coordinate and multiply by the ratio:
x length=-9--2=-7
=>
#We subtract -1.75 from the y-max to get the point=-9--1.75=-7.25
Hence, the coordinates that partitions the segment into a ratio of 3 to 1 is [6.5,-7.25]