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Varvara68 [4.7K]
3 years ago
10

Joshua uses the escalator in the shopping mall to get to the ground floor from the underground garage located at (12,-5). Which

of the following coordinates correspond to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards?
Mathematics
1 answer:
alina1380 [7]3 years ago
7 0

Answer:

(4,5)

Step-by-step explanation:

Initial location of Joshua in the shopping mall is expressed according to the coordinate (12, -5)

If he undergoes a translation of 8 steps to the left and 10 steps upwards, this means that he moves 8 steps towards the negative x axis and 10 steps towards the positive y axis. The new coordinate will be gotten by adding the translation (-8, 10) to the initial coordinate as shown

New position = (12, -5) + (-8,10)

New position = (12-8, -5+10)

New position = (4, 5)

Hence the coordinates that corresponds to the location of the ground floor when undergoing a translation of 8 steps to the left and 10 steps upwards will be (4,5)

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1 year ago
Helen Ming receives a travel allowance of $220 each from her company for time away from home. If this allowance in taxable and s
m_a_m_a [10]

Answer:

$33

Step-by-step explanation:

From the question, $22 is correct

If Helen Ming receives travel allowance of $220 from her company for time away from home

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So you are correct

The only reason why you could be wrong is if the question is different from what you posted above just like the below question

Helen Ming receives a travel allowance of $220 each week from her company for time away from home. If this allowance is taxable and she has a 15 percent income tax rate, what amount will she have to pay in taxes for this employee benefit?

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8 0
3 years ago
Solve this absolute value equation and show all work.
vitfil [10]
I was confused at first until I realized that you'd shared not one, not two, but three questions in one post.  would you please post just one question at a time to avoid this.

I'll focus on your second question only:  Solve <span>3 + |2x - 4| = 15.

Subtr. 3 from both sides.  Result:  |2x - 4| = 12

Divide all terms by 2, to reduce:    |x - 2| = 6

Case 1:  x-2 is already +, so we don't need |    |:

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Case 2:  x-2 is negative, so |2x-4| = -(2x-4) = 6

             Then   -2x + 8 = 6.  Subtr. 8 from both sides:   -2x = -2

               Div both sides by -2:  x = 1 (second answer)

Be sure to check these results by subst. them into the original equation.

Please post your other questions separately.  Thanks and good luck!

</span>
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3 years ago
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