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nalin [4]
3 years ago
14

6 • (4 + 2)2 – 32 answer.

Mathematics
1 answer:
SVETLANKA909090 [29]3 years ago
4 0

This is a classic order of operations question

I always remember order of operations as PEMDAS, or

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

That is the order to do items, from left to right. Multiplication and decision take place at the same time, as do addition and subtraction

So lets look at your problem: 6 • (4 + 2)² – 32

The first thing to do is what is in the parentheses, the 4 + 2

6 • (6)² – 32

The 2nd thing is the exponent

6 • 36 – 32

Next we do the multiplication

216 - 32

And finally the subtraction, leaving us with

184

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Step-by-step explanation:

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The scale factor of a dilation from ABCD to RSTU is \frac{1}{2}

Step-by-step explanation:

We know that the rectangle ABCD is similar to rectangle RSTU.

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Working with the lengths of the sides :

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Replacing with the values of the lengths (Scale factor : SF) :

DC.SF=UT\\(90ft).(SF)=45ft\\SF=\frac{45ft}{90ft} \\SF=\frac{1}{2}

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Notice that the scale factor is dimensionless.

We can verify this result with the sides AD and BC :

AD.SF=UR\\50ft.(\frac{1}{2})=25ft\\ 25ft=25ft

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The scale factor (SF) is \frac{1}{2}

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