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Alex17521 [72]
3 years ago
5

What is the equation of the line that passes through the point (4,−7) and has a slope of -1/2?

Mathematics
2 answers:
Ksenya-84 [330]3 years ago
7 0

Answer:

y = -1/2 x - 5

Step-by-step explanation:

y = mx + b

m = slope = -1/2

y = -1/2 x + b

-7 = -1/2 * 4 + b

-7 = -2 + b

b = -5

y = -1/2 x - 5

jarptica [38.1K]3 years ago
6 0

Step-by-step explanation:

y = -0.5x + c

When x = 4, y = -7.

=> (-7) = -0.5(4) + c, c = -5.

Therefore the equation is y = -0.5x - 5.

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Answer:  586.59 cubic centimeters .

Step-by-step explanation:

As per given . we have

Inner diameter =  1.8 inches

⇒Inner radius :r = 0.9 in.  (radius is half of diameter)

= 0.9 x (2.54) = 2.286 cm  [∵ 1 in . = 2.54 cm]

Outer diameter = 2 inches

⇒Outer radius : R = 1 inch  = 2.54 cm

Height : h = 5 feet = 5 x(30.48) = 152.4 cm   [∵  1 foot = 30.48 cm]

The formula to find the volume of a hollow cylinder :

V=\pi(R^2-r^2)h , where R= outer radius , r= inner radius and h= height.

Now , the volume of metal in the conduit :

V=(3.14)(( 2.54)^2-(2.286)^2)(152.4)

V=(3.14)(6.4516-5.225796)(152.4)

V=(3.14)(1.225804)(152.4)

V=586.591342944\approx586.59\ cm^3

Hence, the volume of metal in the conduit is 586.59 cubic centimeters .

5 0
3 years ago
What is the exponent on 10 when you right 5.3 in scientific notation?
salantis [7]
It is zero

the answer is 5.3 x 10^0
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