Answer:
3
Step-by-step explanation:
add 8 to both sides then x=3
Convert 9 yards into feet: 9 yards * (3 feet) / (1 yard) simplifies to 27 feet.
9 yards, or 27 feet, is shorter than 29 feet.
29 feet is longer than 27 feet.
-----------------------------------------------------------
Make y the subject :
-----------------------------------------------------------
y - 3 = 4(x + 8)
y - 3 = 4x + 32 // Apply distributive property
y = 4x + 35 // Add 3 to both sides
-----------------------------------------------------------
Identify Slope :
-----------------------------------------------------------
Slope = 4
-----------------------------------------------------------
Find a point on the line :
-----------------------------------------------------------
When x = 0,
y = 4(0) + 35 // Sub x = 0 into the equation
y = 35 // Combine like terms
Point = (0, 35)
-----------------------------------------------------------
Answers :
(a) Slope = 4
(b) One point on the line is (0, 35)
-----------------------------------------------------------
Look at deonomators
assuming that the deonomenators are 5x+15y and 2x+6y
find their LCM
factor
5x+15y=5(x+3y)
2x+6y=2(x+3y)
LCM=10(x+3y)=10x+30y
multiply 2/(5x+15y) by 2/2=4/(10x+30y)
multiply 1/(2x+6y) by 5/5=5/(10x+30y)
if we add them
9/(10x+30y)