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3 years ago

I require assistance.

Mathematics

1 answer:

adell [148]3 years ago

6 0

Answer:

Step-by-step explanation:

$\frac{y^{\frac{1}{3} } }{y^{\frac{1}{6} } } \\=\frac{y^{\frac{2}{6} } }{y^{\frac{1}{6} } } \\=\sqrt[6]{\frac{y^{2} }{y} } \\=\sqrt[6]{y}$

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For triangle XYW, the slope of WX is , the slope of XY is 0.56, and the slope of YW is .

SCORPION-xisa [38]

Given triangle XYW with vertices X(2, b), Y(-4, -2) and W(-2, 3), the slope of a straight line is given by
$m= \frac{y_2-y_1}{x_2-x_1}$

Thus, the slope of XY is given by
$\frac{-2-b}{-4-2} =0.56 \\ \\ -2-b=0.56(-6)=-3.36 \\ \\ b=-2+3.36=1.36$ ,

Thus the vertex of X is (2, 1.36)

Therefore, the slope of WX is given by
$\frac{1.36-3}{2-(-2)}= \frac{-1.64}{4} =-0.41$ ,

and the slope of YW is given by
$\frac{3-(-2)}{-2-(-4)}= \frac{3+2}{-2+4} = \frac{5}{2}=2.5$ .

For a right triangle, two of the sides intersect each other at 90 degrees (i.e. they are perpendicular to each other).

When two lines are perpendicular the product of the slopes of the the lines is -1. i.e. the slopes of two perpendicular lines are opposite reciprocal.

Two numbers are said to be opposite reciprocal when one of the number is the result of taking the reciprocal of the other number and then changing the sign.

Recall that the slope of WX is -0.41 and the slope of YW is 2.5, but 2.5 x (-0.41) ≈ -1.

Therefore, the statement that verifies that triangle WXY is a right triangle is "
The slopes of WX and YW are opposite reciprocals."

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4 years ago

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Find the range of the function for the given domain.

Masteriza [31]

Answer:

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Step-by-step explanation:NONE

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3 years ago

In a random sample of 28 families, the average weekly food expense was $95.60 with a standard deviation of $22.50. determine

garik1379 [7]

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3 years ago

Given P(A) = 0.51, P(B) = 0.79, and P(A or B) = 0.66, are events A and B mutually exclusive?

pentagon [3]

Answer: No, the events are not mutually exclusive

Work Shown:

P(A and B) = P(A) + P(B) - P(A or B)

P(A and B) = 0.51 + 0.79 - 0.66

P(A and B) = 0.64

Since the result is not zero, this means the events are not mutually exclusive.

Mutually exclusive events are ones that cannot happen at the same time. Example: getting a "2" and a "3" on the same roll of a number cube.

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2 years ago

The three medals earned in the Olympics are the gold, silver, and bronze medals. In the 2014 Winter Olympics, the United States

marta [7]

Answer:

Let x be the number of silver medals.

As there were two more gold medals than silver ones, gold medals are x+2

We also know that the number of bronze medals was 4 less than the sum of gold and silver, so if there are x + 2 of gold and x of silver, there are x+x+2-4 of bronze.

Now, we can do an equation, as we know there were a total of 28 medals:

x + x + 2 + x + x + 2 - 4 = 28

And we isolate x:

4x = 28

x = 28/4 = 7

There were 7 silver medals, so there were 9 gold ones (7-2) and 12 of bronze (9+7-4).

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3 years ago