(x + 6)/2 - (x - 8)/3 = 5
Multiply each term by 6:-
3(x + 6) - 2(x - 8) = 30
3x + 18 - 2x + 16 = 30
3x - 2x = 30 -18 - 16
x = 30 - 34
x = -4 (answer)
y=-5/4x +3
The slope(-5/4) is rise over run and negative because the line is sloping down. The y intercept (3) is the point where the line crosses the y axis.
The length of side x in simplest radical form with a rational denominator is 8√3
<h3>How to find the length of side x in simplest radical form with a rational denominator?</h3>
The given parameters are:
Triangle type = Equilateral triangle
Height (h) = 12
Missing side length = x
The missing side length, x is calculated using the following sine ratio
sin(60) = Height/Missing side length
This gives
sin(60) = 12/x
Make x the subject of the formula
So, we have
x = 12/sin(60)
Evaluate the quotient
So, we have
x = 12/(√3/2)
This gives
x = 24/√3
Rationalize
x = 24/√3 * √3/√3
Evaluate
x = 8√3
Hence, the length of side x in simplest radical form with a rational denominator is 8√3
Read more about triangles at
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Answer:
8, 36, -12
Step-by-step explanation:
Q2
41 = 8x - 23
8x = 41 + 23
8x = 64
x = 8
Q4
11 = x/2 - 7
22 = x - 14
22 + 14 = x
x = 36
Q6
3(x - 8) = -60
x - 8 = -20
x = -12
Answer:
a10 b10
Step-by-step explanation: