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4 years ago

Use the distributive law to multiply.

2 answers:

7 0

Hello there!

8(3 + 6s)

Use the distributive property

= (8)(3) + (8)(6s)

= 24 + 48s

The correct answer is option B

Good luck with your studies!

Happy New Year!

zhannawk [14.2K]4 years ago

4 0

Hey there!
Our distributive formula is:
a(b+c) = ab+ac
Let's use it to solve this.
We have:
(8*3) + (8*6s)
Therefore we have
24+48s, or B
Hopefully his helped you!

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3 years ago

In the graph below, Point A represents Owen's house, Point B represents David's house and Point C represents the school. Who liv

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Answer:

• David

• 4 miles

Explanation:

In the graph:

The given locations are:

• Owen's House, A(11,3)

• David's House, B(15,13)

• School, C(3,18)

We determine both Owen's and David's distance from the school using the distance formula.

$Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Owen's distance from school (AC)

$\begin{gathered} AC=\sqrt[]{(3-11)^2+(18-3)^2} \\ =\sqrt[]{(-8)^2+(15)^2} \\ =\sqrt[]{64+225} \\ =\sqrt[]{289} \\ AC=17\text{ miles} \end{gathered}$

David's distance from school (BC)

$\begin{gathered} BC=\sqrt[]{(3-15)^2+(18-13)^2} \\ =\sqrt[]{(-12)^2+(5)^2} \\ =\sqrt[]{144+25} \\ =\sqrt[]{169} \\ BC=13\text{ miles} \end{gathered}$

We see from the calculations that David lives closer to the school, and by 4 miles.

The graph below is attached for further understanding:

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1 year ago