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Kisachek [45]
3 years ago
5

Find the point-slope equation of the line using the point (4,6) and slope 3/2​

Mathematics
1 answer:
Stolb23 [73]3 years ago
4 0

Answer:

y-6=\frac{3}{2} (x-4)

Step-by-step explanation:

<em><u>Point-slope form : </u></em>y-y_1=m(x - x_1)

m = slope (\frac{3}{2})

y_1 = (6)\\x_1 = (4)

y-6=\frac{3}{2} (x-4)

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vlada-n [284]

Volume of the cylinder is 480 cm³ (rounded off to the nearest tenth)

Step-by-step explanation:

  • Step 1: Find volume of the cylinder when radius = 4 cm and height = 9.5 cm

Volume = πr²h = 3.14 × 4² × 9.5

             = 3.14 × 16 × 9.5 = 477.28 cm³ ≈ 480 cm³

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3 years ago
What is the GCF of 6x, 12y , 18?
Dima020 [189]

Answer:

6 just 6

Step-by-step explanation:

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3 0
3 years ago
A miners' cage of mass 420 kg contains 3 miners of total mass 280 kg. The cage
svp [43]

Answer:

5817 Newtons.

Step-by-step explanation:

Total mass of the cage + the miners = 700 Kg which is a downward force of  700g N.

The net downward force = 700g - T where T is the tension (force) in the cable. The g = acceleration due to gravity = 9.81 m s-2.

We  calculate the  acceleration of the cage by using an equation of motion:

Distance = ut + 1/2 a t^2     where u = initial velocity , t = time and a = acceleration:

75 = 0(t) + 1/2 a (10^2)

50a =  75

a = 1.5 m s-2.

So using Newtons second law of motion

Force = mass * acceleration:

700*9.81 - T = 700 * 1.5

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8 0
4 years ago
PLS HELP WILL MARK YOU BRAINLIEST! NO FAKE ANSWERS!
melisa1 [442]

answer:

y = 114°    and   x = 120°

step-by-step explanation:

part A:

  • one inner angle: 51°
  • second inner angle: (180°-87°) = 93°
  • third inner angle: (180°-30°) = 150°
  • fourth, beside y angle: 360° - 150° - 93° - 51° = 66°
  • then y = 180°  - 66°  = 114°

part B:

  • there are 6 sides, so inner angle: (6-2)*180 = 720°
  • 160° + 123° + 107° + 90° + x + x = 720°
  • 2x + 480° = 720°
  • 2x = 720° = 480°
  • 2x = 240°
  • x = 120°
6 0
3 years ago
Read 2 more answers
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