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Brut [27]
3 years ago
8

Complete questions 6,7,8.

Mathematics
1 answer:
dusya [7]3 years ago
3 0

Step-by-step explanation:

<h3>6.) 80x²y</h3>

Prime factors of :

• 80 = 2 × 2 × 2 × 2 × 5

• x² = x × x

• y = y

• 80x²y = <u>2 × 2 × 2 × 2 × 5 × x × x × y</u>

<h3>7.) 56x³y²</h3>

Prime factors of :

• 56 = 2 × 2 × 2 × 7

• x³ = x × x × x

• y² = y × y × y

• 56x³y² = <u>2 × 2 × 2 × 7 × x × x × x × y × y</u>

<h3>8.) 81xy²</h3>

Prime factors of :

• 81 = 3 × 3 × 3 × 3

• x = x

• y² = y × y

• 81xy² = <u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>3</u><u> </u><u>×</u><u> </u><u>x </u><u>×</u><u> </u><u>y </u><u>×</u><u> </u><u>y</u>

#CMIIW ^^

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Hi, I'm happy to help!

To solve this, we need to find the distance from the origin to the y coordinate value, x coordinate value, then use the Pythagorean Theorem.

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Next, let's find the y coordinate distance change. We move from the y coordinate 0, to the y coordinate 4, <u>so we move 4 y units.</u>

Now that we have these two leg lengths, let's imagine this as a right triangle. Moving from the origin, we draw a line from (0,0), to (-8,0). Then, we draw a line from (-8,0) to (-8,4). Now, draw a direct line from (0,0), to (-8,4). We have the length of the first(8) and second(4) lines, and we need to find the third line length to find our answer. To do this, we use the Pythagorean Theorem, which states that a²+b²=c². This says that, in a right triangle, the square of the two shorter lengths equals the square of the longest length. The longest length is what we are solving for.

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<u>To summarize the distance between the origin and the coordinates (-8,4), is about 8.9.</u>

I hope this was helpful, keep learning! :D

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