Answer:
Let width of rectangle be x cm.
3x+x+3x+x=39
8x=39
x=39÷8
=39/8
=4/7/8
3x=39/8×3
=117/8
=14/5/8
Hence, length=14/5/8cm while width=4/7/8cm.
Answer:
x
Step-by-step explanation:
-2x²(x – 5) + x(2x² – 10x) + x
The simplest for of the above equation can be obtained as follow:
-2x²(x – 5) + x(2x² – 10x) + x
Rearrange
x(2x² – 10x) – 2x²(x – 5) + x
Factorise
x.2x(x – 5) – 2x²(x – 5) + x
2x²(x – 5) – 2x²(x – 5) + x
Carry out the minus (–) operation
=> x
Therefore, the simplest form of expressing -2x2(x – 5) + x(2x2 – 10x) + x is x.
Answer: The solution is (3, -2)
This means that x = 3 and y = -2 pair up together.
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Explanation:
The solution is where the two lines cross. Note if we started at the origin (0,0) and moved to the right 3 units, and then down 2 units, we would arrive at the location (3, -2).
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As a way to check, we can plug x = 3 into each equation. We should get y = -2 as a result for each equation
y = (-5/3)x + 3
y = (-5/3)*3 + 3
y = -5+3
y = -2
The first equation is confirmed. Let's check the second equation
y = (1/3)x - 3
y = (1/3)*3 - 3
y = 1 - 3
y = -2
Both equations have the y value equal -2 when x = 3. Therefore, the overall solution is confirmed.