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djverab [1.8K]
4 years ago
12

Which expression is equivalent to 4(x+2)?

Mathematics
1 answer:
melamori03 [73]4 years ago
4 0

Answer:

B:4(x)+4(2)

Step-by-step explanation:

(4 × x)+(4 × 2)

You cant do anything in the parentheses so you have to distribute 4

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1. How do I find the slope of (2,4) (4,7)
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Perform the following operations and write the answers in radical form.
strojnjashka [21]

Given:

Part A: \sqrt{7}+\sqrt{3}+\sqrt{98}-\sqrt{18}

Part B: 3 \sqrt{5}-3 \sqrt{11}+2 \sqrt{121}-3 \sqrt{90}

To find:

The simplified radical form.

Solution:

Part A: \sqrt{7}+\sqrt{3}+\sqrt{98}-\sqrt{18}

\sqrt{98}=\sqrt{7^2 \times 2} =7 \sqrt{2}

\sqrt{18}=\sqrt{3^2 \times 2} =3 \sqrt{2}

Substitute these in the given expression.

\sqrt{7}+\sqrt{3}+\sqrt{98}-\sqrt{18}=\sqrt{7}+\sqrt{3}+7\sqrt{ 2}-3\sqrt{ 2}

Add or subtract the coefficient of same radical.

                                    =\sqrt{7}+\sqrt{3}+(7-3)\sqrt{ 2}

                                    =\sqrt{7}+\sqrt{3}+4\sqrt{ 2}

Part B: 3 \sqrt{5}-3 \sqrt{11}+2 \sqrt{121}-3 \sqrt{90}

2 \sqrt{121}=2\sqrt{11^2}

           =2\times 11

           = 22

3 \sqrt{90}=3\sqrt{3^2 \times 10}

           =3\times 3 \sqrt{10}

           =9 \sqrt{10}

Substitute these in the given expression.

3 \sqrt{5}-3 \sqrt{11}+2 \sqrt{121}-3 \sqrt{90}=3 \sqrt{5}-3 \sqrt{11}+22-9 \sqrt{10}

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