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2 years ago

Marcus was going up 10 stairs in his office. Write an absolute value expression for the given statement.

Mathematics

1 answer:

djyliett [7]2 years ago

8 0

The absolute value expression for the given statement is |10|

<h3>What is absolute value?</h3>

The absolute value (or modulus) | x | of a real number x is the non-negative value of x without regard to its sign

Marcus was going up stairs in his office. Therefore, he was ascending .

This means the 10 staircase will be added since there is an increase.

Hence, the absolute value expression for the given statement is as follows:

absolute value = |10|

learn more on absolute value here: brainly.com/question/780403

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3 years ago

What is the average rate of change of the line whose equation is:

dedylja [7]

Answer:

Rate of change = -12

Step-by-step explanation:

y − 3 = −12(x + 4)

Expanding, we have;

y - 3 = -12x - 48

y = -12x - 48 + 3

y = -12x - 45

Now, formula for rate of change is;

Rate of change = (y(x + h) - y)/h

y(x + h) is; y = -12(x + h) - 45

This gives;

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Rate of change = -12h/h

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3 years ago

Write the first five terms of a geometric sequence in which the sixth term is 64.

azamat

Answer:

1st term : 2

2nd term : 4

3rd term: 8

4th term : 16

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Step-by-step explanation:

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3 years ago

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

bogdanovich [222]

1. Check the picture attached. Consider the half of the 8-sided die, that is the pyramid ABCDE:

2. The perimeter of the base is 6, so each side of the base is 6/4=3/2

3. The distance between the tallest points is 2 cm, si the height of Pyramid ABCDE is 1 cm.

4. Consider the right triangle EOM in the figure:

EO=1, OM= 3/4 (it is half of AB=3/2) and EM is the hypothenuse, so by the pythagorean theorem length of EM is $\sqrt{1+ ( \frac{3}{4} )^{2} }= \sqrt{1+ \frac{9}{16} }= \sqrt{ \frac{25}{16} }= \frac{5}{4}$ (cm)

5. So side EBC has area
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6. The total area is 8*Area(EBC)= $8* \frac{15}{16}= \frac{15}{2}=7.5 ( cm^{2} )$

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3 years ago

Read 2 more answers

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25% or 1/4

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3 years ago