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Cerrena [4.2K]
2 years ago
8

Evaluate 3^2018 + 3^2015 / 3^2017 + 3^2016

Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
5 0

The simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

<h3>How to evaluate the expression?</h3>

The expression is given as:

3^2018 + 3^2015 / 3^2017 + 3^2016

Factor out 3^2015 in the expression

So, we have

3^2015(3^3 + 1)/3^2015(3^2 + 3)

Cancel out the common factor

(3^3 + 1)/(3^2 + 3)

Evaluate the exponents

(27 + 1)/(9 + 3)

This gives

28/12

Simplify

7/3

Hence, the simplified value of the expression given as 3^2018 + 3^2015 / 3^2017 + 3^2016 is 7/3

Read more about expressions at:

brainly.com/question/723406

#SPJ1

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find an equation for the perpendicular bisector of the line segment whose endpoints are (-8,-5) and (-4,1)
lbvjy [14]

Answer:

y = -x - 8

Step-by-step explanation:

Midpoint of the line:

x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6

y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2

so midpoint is (-6,-2)

Slope of the line: Slope m = (y2-y1)/(x2-x1)

m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1

Perpendicular lines have slopes that are negative reciprocals of one another

so slope of the perpendicular line is -1/1 is -1

y = mx + b

y = -x + b

Using (-6,-2)

-2 = -(-6) + b

-2 = 6 + b

b = -8

so y = -x - 8

6 0
3 years ago
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There are three spiders and 4 ants in all
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3 years ago
Simply 2x + x + x + 2y x 3y x y
gayaneshka [121]

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Step-by-step explanation:

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2 years ago
52= -5x -3 can you solve for x
Roman55 [17]

Answer:

x = -11

Step-by-step explanation:

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4 0
4 years ago
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Give one example of when you would use the friendly numbers strategy to subtract. Explain why.
ziro4ka [17]

In the <span>addition process</span> this usually involves:

<span><span>rounding numbers up to the nearest multiple of 10 or 100 </span>subtracting the extras that were added at the end.</span>

In the subtraction process this usually involves subtracting too much and completing the calculation by putting some back.


6 0
3 years ago
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