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Alborosie
3 years ago
5

What is 18= 1/3(3h-6)

Mathematics
1 answer:
aivan3 [116]3 years ago
7 0

Answer:

h = 20

Step-by-step explanation:

So the first thing we need to do here is distribute our one third so we can then deal with the 18 on the other side of the equation.

So lets distribute!

1/3(3h-6) = h - 2

This is because 1/3 x 3 = 1 and 1/3 x 6 = 2

We could also re-write both of these above to get

3/3 = 1 and 6/3 = 2

So now we have

18 = h - 2

All that is left now is to add two to both sides!

Which leaves h = 20

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2 years ago
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Option D: Two irrational solutions

Explanation:

The equation is 17+3 x^{2}=6 x

Subtracting 6x from both sides, we have,

3x^{2} -6x+17=0

Solving the equation using quadratic formula,

x=\frac{6 \pm \sqrt{36-4(3)(17)}}{2(3)}

Simplifying the expression, we get,

\begin{aligned}x &=\frac{6 \pm \sqrt{36-204}}{6} \\&=\frac{6 \pm \sqrt{-168}}{6} \\&=\frac{6 \pm 2 i \sqrt{42}}{6}\end{aligned}

Taking out the common terms and simplifying, we have,

\begin{aligned}x &=\frac{2(3 \pm i \sqrt{42})}{6} \\&=\frac{(3 \pm i \sqrt{42})}{3}\end{aligned}

Dividing by 3, we get,

x=1+i \sqrt{\frac{14}{3}}, x=1-i \sqrt{\frac{14}{3}}

Hence, the equation has two irrational solutions.

8 0
3 years ago
Wesley jogs 10 miles each weeks. Then he jogs 20 miles each week for 3 weeks how many miles does Wesley jog in 5 week?
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A triangle has sides with length of 11 feet 12 feet and 13 feet. Is it a right triangle
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Step-by-step explanation:

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D. 60=(x+45)

Step-by-step explanation:

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Read 2 more answers
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