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yKpoI14uk [10]
3 years ago
14

write an absolute value equation to calculate the distance between the two points (4, -2) and (-9, -2)

Mathematics
1 answer:
meriva3 years ago
7 0

9514 1404 393

Answer:

  d = |-9-4| = 13

Step-by-step explanation:

The y-values are the same for the two points, so the distance between them on that horizontal line is the difference of x-values.

  d = |(-9) -(4)|

  d = |-13| = 13

The distance between the points is 13 units.

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Which expression shows the sum of the polynomials with like terms grouped together?
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Answer:

C. (-4x^2)+2xy^2+[10x^2y+(-4x^2y)

Step-by-step explanation:

A. [9-4x2) + (-4x2y) + 10x2y] + 2xy2  : in this polynomial the first term is not a like term, then this is incorrect.

B. 10x2y + 2xy2 + [(-4x2) + (-4x2y)]  : in this polynomial, the terms that are grouped, are not like terms, then is incorrect.

C. (-4x2) + 2xy2 + [10x2y + (-4x2y)]  ; This polynomial is the right answer because the like terms are grouped.

D. [10x2y + 2xy2 + (-4x2y)] + (-4x2): This polynomial is incorrect because one of the terms that are grouped is not a like term.

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3 years ago
Twice a number plus 5 equals 81
ohaa [14]

solution

2x+5=81

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A company claims its video game players have a defective rate of 4%. What is the probability that you and a friend both receive
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Since you're looking for the chance that the defective player occurs twice, you need to find the chance your friend receives a defective player given that you also receive one. The chance you receive a defective player is 4%, or 0.04. If you friend also receives a defective player, then the chance of both occurring is 4% of 4%, or 0.04 * 0.04, which equals 0.0016. So the probability that you can a friend both receive a defective player is 0.16%.
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Answer:

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Simplify \frac{m^{7}n^{4}}{{m^{4}n^{3}}}

We can simplify the expression by by using the quotient rule. Since the numerator is greater than the denominator and of similar terms, we'll subtract the denominator from numerator. This simply means that to divide two exponents with the same base, you keep the base and subtract the powers.

=m^{7-4}n^{4-3}\\=m^3n

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