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ivolga24 [154]
3 years ago
6

Line L1 has the equation 4x-40y=4 Express the equation of L1 in slope-intercept form.

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
3 0

4x-40y=4\\40y=4x-4\\y=\frac{4}{40}-\frac{4}{40}\\y=\frac{1}{10}x-\frac{1}{10}\\

Here, 1/10 is the slope and 1/10 is the Y intercept.

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Which is the graph of 2x + 3y >-3?
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Answer:

The third graph is correct for the inequality 2x + 3y > -3

Step-by-step explanation:

The slope of the graph is –2/3.

The y-intercept is –1

The area above the dashed be line is shaded.

To verify, choose a coordinate in the shaded area, substitute the values for x and y. Calculate and check.

For example: (1,1)

2(1) + 3(1) > –3

2 + 3 > –3

5 > –3 True.

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Step-by-step explanation:

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3 years ago
Evaluate |x| + |-2y| when x = -2 and y=3
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2 years ago
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geniusboy [140]
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2 years ago
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A cylinder has 18 inch diameter and is 15 inches tall it is filled to the top with water a 6 inch diameter ball is in place with
k0ka [10]

Answer: 1,179\pi\ in^3

Step-by-step explanation:

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V=\pi r^2h

Where "r" is the radius and "h" is the height.

The volume of a sphere can be found with this formula:

V=\frac{4}{3}\pi  r^3

Where "r" is the radius.

Then, volume of the empty cylinder is:

V_c=\pi (\frac{18\ in}{2})^2(15\ in)\\\\V_c=1,215\pi \ in^3

And the volume of the ball is:

V_b=\frac{4}{3}\pi  (\frac{6\ in}{2})^3\\\\V_b=36\pi \ in^3

 Finally, you need to subtract them in order to calculate how much water is in the cylinder:

1,215\pi \ in^3-36\pi \ in^3=1,179\pi\ in^3

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3 years ago
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