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2 years ago

What are the steps to 3(5b+6)=30+3b

Mathematics

2 answers:

solong [7]2 years ago

6 0

15b+18=30+3b
15b=30+3b-18
15b=3b+12
15b-3b=12
12b=12
B=1

kykrilka [37]2 years ago

4 0

3(5b+6) = 30 + 3b

1. Use the distributive property and multiply what's outside the parenthesis by whats on the inside.

15b + 18 = 30 + 3b

2. Next get rid of the 18 by subtracting it from itself and 30.

15b = 12 + 3b

3. After that you need to get rid of the 3b, so you would subtract 3b from itself and 15b.

12b = 12.

4.Next divide both sides by 12.

b= 1

Go back and insert your answer.

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2 years ago

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Step-by-step explanation:

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3 years ago

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solniwko [45]

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2 years ago

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Gemiola [76]

Answer:

The equation of the circle can be written as:

$\left(x-4\right)^2+\left(y-4\right)^2=136$

Step-by-step explanation:

The general equation of a circle with center $(h,k)$ and radius $r$ is:

$\left(x-h\right)^2+\left(y-k\right)^2=r^2$

In our example, we know $\left(h,k\right)=\left(4,4\right)$ , as we just have to make sure we need determine $\:r^2$ .

$\left(x-4\right)^2+\left(y-4\right)^2=r^2\:\:$

As the circle passes through (10, 14), that pair of values for x and y must satisfy the equation. So we have:

$\left(10-4\right)^2+\left(14-4\right)^2=r^2$

$\mathrm{Switch\:sides}$

$r^2=\left(10-4\right)^2+\left(14-4\right)^2$

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$r^2=36+100$

$r^2=136$

Thus the equation of the circle can be written as:

$\left(x-4\right)^2+\left(y-4\right)^2=136$

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2 years ago

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