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2 years ago

What is the slope of the line?

Mathematics

2 answers:

Evgesh-ka [11]2 years ago

7 0

The slope of the line is 7/4

Vedmedyk [2.9K]2 years ago

7 0

Answer:

-7/4

Step-by-step explanation:

Hi,

To find the slope of the line, get two points, and divide the change in y over the change in x. So, let's find two points.

(1,-3) and (-3,4)

Change in y: 4 - (-3) = 7 (Remember when you subtract a negative, you add)

Change in x: -3 - 1 = -4

7/-4 = -7/4

-7/4 is your slope.

I hope this helps :)

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3 years ago

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sattari [20]

Answer:

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Step-by-step explanation:

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3 years ago

Can someone explain how to find z?

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Step-by-step explanation:

Given,

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3 years ago

15. A cylindrical glass 10 cm tall and 8 cm in diameter is filled to 1 cm

ANTONII [103]

Answer:

No. The new height of the water is less than the height of the glass(6.33 cm<10 cm)

Step-by-step explanation:

-For the water in the glass to overflow, the volume of the inserted solid must be greater than the volume of the empty space or the ensuing height of water >height of glass.

#Volume of the golf ball:

$V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3$

#The volume of the water in the glass:

$V=\pi r^2 h\\\\=\pi \times 4^2\times 10\\\\\approx 50.27\ cm^2$

We then equate the two volumes to the glass' volume to determine the new height of the water:

$V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm$

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

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3 years ago