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borishaifa [10]
4 years ago
11

Find the distance between (-4,9), (-5,3)

Mathematics
2 answers:
saw5 [17]4 years ago
4 0

Answer:

√37

Step-by-step explanation:

the distance formula is

d = √(x2-x1)^2+ (y2-y1)^2

the x values are -4 and -5. the y values are 9 and 3. so you would plug in the x values to get -5 -(-4). double negatives make a positive, so you get -1. do the same with the y values to get -36. square those numbers to get 36 + 1 and keep the square root.

lozanna [386]4 years ago
3 0

Answer:

\sqrt{37}

Step-by-step explanation:

Use the distance formula:

The distance, d, between points (x1, y1) and (x2, y2) is

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

Here you have points (-4, 9) and (-5, 3), so

x_1 = -4

y_1 = 9

x_2 = -5

y_2 = 3

d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

d = \sqrt{(-5 - (-4))^2 + (3 - 9)^2}

d = \sqrt{(-5 + 4)^2 + (-6)^2}

d = \sqrt{(-1)^2 + 36}

d = \sqrt{1 + 36}

d = \sqrt{37}

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Answer: The test contains 10 three-point questions and 14 five-point questions.

Step-by-step explanation:

Let x represent the number of 3-point questions.

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Each question is worth either 3 points or 5 and the test is worth 100 points. This means that

3x + 5y = 100 - - - - - - - - - - -1

Substituting x = 24 - y into equation 1, it becomes

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5 0
3 years ago
A house painter has an annual income of $35,000 and paid $2,500 in income tax. What percent of her income is the income tax?
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Answer:

The 7.14% of her income is the income tax .

Step-by-step explanation:

Formula

Percentage = \frac{Part\ value\times 100}{Total\ value}

As given

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Here

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Put in the formula

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