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Alborosie
3 years ago
7

, 5: Peter walks 5 m towards West, takes a right turn and walks 5m again. He then takes another right turn How far and walks 20m

. He then takes a Ònal right turn and walks 5m before stopping. How far is he from the starting point?

Mathematics
1 answer:
Molodets [167]3 years ago
5 0

In the figure, P is the starting point of Perter.

Q is the point of his first right turn which is 5m from the starting point.

R is the next point of his right turn which is again 5m from P.

T is another right turn which is 20m from R.

U is the stop point which is 5m from T.

It is clear that P is the starting point and U is the stop point.

We need to find PU.

From figure, PU = ST but ST = RT - RS and RS = QP

Therefore, PU = RT - QP

PU = 20 - 5 = 15m.

Hence, he is 15m far from the starting point.

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A. f(x) = l-2xl - 3<br> Domain: {1, 2, 3}<br> Find the range
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Hello there!

We are given the function:

\displaystyle \large{ f(x) =  | - 2x|  - 3} \\

To find the range, we know that domain is the set of all x-values and also called 'input' while range is the set of all y-values and also called 'output'.

Basic Function - you add the input, you get the output. You add x-value in a function, you get y-value. You add domain, you get range.

So, we substitute x = 1,2 and 3 in the function.

<u>x</u><u> </u><u>=</u><u> </u><u>1</u>

\displaystyle \large{ f(1) =  | - 2(1)|  - 3} \\   \displaystyle \large{ f(1) =  | - 2|  - 3} \\

Recall that any numbers in absolute value are always positive.

\displaystyle \large{ f(1) =  2 - 3} \\   \displaystyle \large{ f(1) =   - 1} \\

<u>x</u><u> </u><u>=</u><u> </u><u>2</u>

\displaystyle \large{ f(2) =  | - 2(2)|  - 3} \\   \displaystyle \large{ f(2) =  | - 4 |   - 3} \\   \displaystyle \large{ f(2) =  4 - 3} \\   \displaystyle \large{ f(2) =  1}

<u>x</u><u> </u><u>=</u><u> </u><u>3</u>

\displaystyle \large{ f(3) =  | - 2(3)|  - 3} \\   \displaystyle \large{ f(3) =  | - 6|   - 3} \\   \displaystyle \large{ f(3) =  6 - 3} \\   \displaystyle \large{ f(3) =  3}

Therefore, Range: {-1,1,3}

Let me know if you have any questions!

Topic: Absolute Value Function / Modulus Function

6 0
2 years ago
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