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Drupady [299]
3 years ago
9

Through: (4, -3), perp. to y=-2x + 1

Mathematics
1 answer:
larisa86 [58]3 years ago
7 0

Step-by-step explanation:

y = -2x + 1. => Slope = -2

Then the perpendicular line will have a slope of -1/(-2) = 0.5.

We have y = 0.5x + c.

When x = 4, y = -3.

=> (-3) = 0.5(4) + c, c = -5.

Hence the answer is y = 0.5x - 5. (C)

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Convert 1/15 into a decimal correct to 2 decimal places ​
Citrus2011 [14]

Answer:

\frac{1}{15} = 0.\overline{66}

Step-by-step explanation:

We proceed to show the procedure to calculate the given fraction into a decimal form:

1) Since numerator is less than denominator, the integer component of the decimal number is zero:

\frac{1}{15} = 0.xx

2) We multiply the numerator by 10 and find the tenth digit:

\frac{10}{15} = 0

Then,

\frac{1}{15} = 0.0xx

3) We multiply the fraction in 2) by 10 and find the hundredth digit:

\frac{100}{15} = 6

Then,

\frac{1}{15} = 0.66x

And the remainder is:

r = 100-15\times 6

r = 10

4) We multiply the remainder by 10 and divide this result by the denominator to determine the thousandth digit:

\frac{100}{15} = 6

Then,

\frac{1}{15} = 0.666

This question asks us to write a decimal correct to 2 decimal places, which has the characteristic that is infinite periodical decimal. Then, the result correct to 2 decimal places is:

\frac{1}{15} = 0.\overline{66}

3 0
3 years ago
What would my grade be if i had a 76% in the class, then got a 0% on a test worth 70% of my grade?
ExtremeBDS [4]

Answer:

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7 0
3 years ago
Which ratio would help find the distance the person is from the flag pole ¨X¨ if the angle is elevation of 30 degrees.
WINSTONCH [101]

Answer:

There are three major trignometric ratios in mathematics and they are:

sine(sin), cosine(cos) and tangent(tan). A popular acronym is used in recalling the formula for each ratio and it is: SOH-CAH-TOA.

Sine(x) = Opp/Hyp

Cosine(x) = Adj/Hyp

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Now, the Hyp is the hypothenus of the triangle and it is the side opposite to angle 90. The opposite and adjacent is kind of relative depending on the angle been considered. For this case, we are considering angle 30 which the opposite side is 60 and the remaining side becomes the adjacent

Step-by-step explanation:

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Sveta_85 [38]
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5 0
3 years ago
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Otrada [13]

Answer:

about 8.3 miles an hour.

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