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3 years ago

X and y vary inversely, and x=50 when y=5. find y when x=10. what is k?

1 answer:

n200080 [17]3 years ago

7 0

Y varies inversely with x.
⇒ y = k/x

When y = 5, x = 50
5 = k/50
k = 50 x 5 = 250

Equation: y = 250/x

When x = 10
y = 250/10 = 25

Answer: k = 250, y = 25 when x = 10

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Divide. 413÷129 Enter your answer, as a mixed number in simplest form, in the box.

kompoz [17]

For this case we must divide the following expression:

$\frac {413} {129}$

The expression can not be simplified. When dividing we have that its decimal form is given by:

3,201550

If we convert to a mixed number we have:

$3 \frac {26} {129}$

Verifying:

$3 \frac {26} {129} = \frac {129 * 3 + 26} {129} = \frac {413} {129}$

Answer:

$3 \frac {26} {129}$

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3 years ago

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Answer:

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Step by step explanations:

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Answer:

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2 years ago

The circle below has center C, and its radius is 4 feet. Find the area of the sector with central angle DCE given

garik1379 [7]

Answer:

$area = \frac{8}{3}pie ft^2$

Step-by-step explanation:

Area of sector is given as θ/360*πr²

Where,

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r = radius = 4 feet

Area of sector = $\frac{60}{360}*pie*4^2$

$area = \frac{1}{6}*pie*16$

$area = \frac{1*16}{6}*pie$

$area = \frac{16}{6}*pie$

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3 years ago

Find an expression for the function f(x) whose graph is a line passing through the points (8,-5) and (-9,2). f(x)=

kolbaska11 [484]

Answer: f(x) = - 7x/17 - 29/17

Step-by-step explanation:

The expression for the function f(x) would be represented in the slope-intercept form, y = mx + c

Where

c represents the y intercept.

m represents the slope of the line.

Slope, m =change in value of y on the vertical axis / change in value of x on the horizontal axis represent

change in the value of y = y2 - y1

Change in value of x = x2 -x1

The line passes through (8, - 5) and (- 9, 2),

y2 = 2

y1 = - 5

x2 = - 9

x1 = 8

Slope,m = ( 2 - - 5)/(- 9 - 8) = 7/- 17 =

- 7/17

To determine the intercept, we would substitute x = 8, y = - 5 and m = - 7/17 into

y = mx + c. It becomes

- 5 = - 7/17 × 8 + c

- 5 = - 56/17 + c

c = - 5 + 56/17

c = - 29/17

The equation becomes

f(x) = - 7x/17 - 29/17

8 0

3 years ago

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