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Anuta_ua [19.1K]
3 years ago
7

Write an equation in slope-intercept form for the line that passes through (5,4) and (6,-1)

Mathematics
1 answer:
xenn [34]3 years ago
6 0

Answer:

Y = -5x + 29

Step-by-step explanation:

The first step is finding the slope:

y2 - y1 / x2 - x1

-1 - 4 = -5

6 - 5 = 1

-5/1 = -5

Now to point slope form ( y - y1 = m (x - x1)

Let's use the point 5, 4.

y - 4 = -5 (x - 5)

Time to simplify to slope intercept form ( y = mx + b)!

1. distribute

y - 4 = -5x + 25

2. Add 4 to both sides, making y alone.

Y = -5x + 29

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Answer:

(3,-6)

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A wooden roller is 1 m long and 8 cm in diameter. Find it's mass in grams if 1cm³ of the wood has a mass of 0.7 g​
Aleksandr-060686 [28]

Answer:

1120π grams

==> 3518.58 grams  using value of π = 3.14159 or

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Step-by-step explanation:

Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder

The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm

Length = 1 meter = 100 cm

Here, volume V = π.4².100 =  π x 16 x 100 = 1600π cm³

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Using the ratio 22/7 for pi we get
M =  1120 x 22/7  = 3520 g

If we use the more accurate value of π as 3.14159 then we get
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