Question 9
Given the segment XY with the endpoints X and Y
Given that the ray NM is the segment bisector XY
so
NM divides the segment XY into two equal parts
XM = MY
given
XM = 3x+1
MY = 8x-24
so substituting XM = 3x+1 and MY = 8x-24 in the equation
XM = MY
3x+1 = 8x-24
8x-3x = 1+24
5x = 25
divide both sides by 5
5x/5 = 25/5
x = 5
so the value of x = 5
As the length of the segment XY is:
Length of segment XY = XM + MY
= 3x+1 + 8x-24
= 11x - 23
substituting x = 5
= 11(5) - 23
= 55 - 23
= 32
Therefore,
The length of the segment = 32 units
Question 10)
Given the segment XY with the endpoints X and Y
Given that the line n is the segment bisector XY
so
The line divides the segment XY into two equal parts at M
XM = MY
given
XM = 5x+8
MY = 9x+12
so substituting XM = 5x+8 and MY = 9x+12 in the equation
XM = MY
5x+8 = 9x+12
9x-5x = 8-12
4x = -4
divide both sides by 4
4x/4 = -4/4
x = -1
so the value of x = -1
As the length of the segment XY is:
Length of segment XY = XM + MY
= 5x+8 + 9x+12
= 14x + 20
substituting x = 1
= 14(-1) + 20
= -14+20
= 6
Therefore,
The length of the segment XY = 6 units
Answer:
Addition
Step-by-step explanation:
Answer:The diameter is 12cm
Step-by-step explanation:
Answer:
- y = -5/2x + 5
- y = 2x -1
- y = 24/11
- y = 4x + 4
Step-by-step explanation:
To solve for y, subtract the x-term and divide by the coefficient of y.
5x +2y = 10
2y = -5x +10
y = -5/2x + 5
__
2y -4x = -2
2y = 4x -2
y = 2x -1
__
7y +4y = 24
y = 24/11
We assume there is a typo, but cannot tell what it is. Use the same method as described and demonstrated for the other problems.
__
-2x +1/2y = 2
1/2y = 2x +2
y = 4x +4
