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Answer:
x=0
y=6
Step-by-step explanation:
3y- 12x = 18
2y-8x= 12
rearrange the equation
2y-8x=12
add 8x to both sides
2y=8x+12
divide both sides by 2
y=4x+6
now substitute it into 3y-12x=18
3(4x+6)-12x=18
simplify
12x+18-12x=18
simplify
18=18
x=0
substitute to find y
2y-8(0)=12
2y=12
y=6
Recheck:
3(6)-12(0)=18
18=18
2(6)-8(0)=12
12=12
C. Its acceleration is zero.
Step-by-step explanation:
Velocity is defined as the change in distance over time;
d₂- d₁ / t whereby;
d₂ – final distance
d₁ - initial distance
t - time
Acceleration, on the other hand, is the change in velocity over time;
Δv / t whereby;
v – velocity
t – time
When velocity is constant, change in velocity (Δv) is zero (0).
Therefore for acceleration to be zero (0), change in velocity has to be zero because;
Only when a = 0/t is zero (0)
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Answer:
34 units
Step-by-step explanation:
Given segment GH is bisected by line RS at S
SG= (4x+3) units, and SH= (10x - 18) units
This means the length of segment GH is divided into two equal parts
SG and SH
SG = SH
We solve for x
(4x+3) units = (10x - 18) units
4x + 3 = 10x - 18
3 + 18 = 10x - 4x
21 = 6x
x = 21/6
x = 3.5
From the question,
SG = (4x + 3) units
SH = (10x - 18) units
GH = SG + SH
GH = (4x + 3)units + (10x - 18)units
GH = 4x + 3 + 10x - 18
GH = 4x + 10x + 3 - 18
= 14x - 15 units
Substituting 3.5 for x
GH = 14 × 3.5 - 15
= 49 - 15
= 34 units
Therefore, the length of segment GH = 34 units