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3 years ago

4a+6b=10 2a-4b=12 what does 12a =?

1 answer:

8 0

1/2(4a + 6b = 10)
2a + 3b = 5

2a + 3b = 5
-) 2a - 4b = 12
7b = -7
b = -1

Substitute:
2a - 4(-1) = 12
2a + 4 = 12
2a = 8
a = 4

12a = 12(4) = 48

This is a little longer way to do it, but I think it's easier to understand

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The triangle below is equilateral. Find the length of side xx in simplest radical form with a rational denominator.

mylen [45]

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<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