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Alexus [3.1K]
3 years ago
8

8. Solve for the given variable in the following equations. (4 marks total)

Mathematics
1 answer:
____ [38]3 years ago
6 0

Step-by-step explanation:

  • c

V= π*r²*h

V/π = r²*h

v/(π*r²) = h

  • d

\frac{x+y}{3} = 5

x+y = 15

x = 15-y

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Answer:

The radius is: 2\sqrt{3}

Step-by-step explanation:

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So, given the equation of the circle:

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You can identify that:

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Tasya [4]

The coordinates of point F are (15/4 , -5/2)

  • The coordinates of point G  = (-3/4 , -3)

<h3>What is the coordinates  about?</h3>

From the image attached:

AB divided into 4 similar parts, hence

  • E is the mid-point of AB
  • D is the mid-point of AE
  • F is the mid-point of EB

Note that the rule of the mid-point states that:

When M (x , y) is the mid-point of the segment of AB, where A (x1 , y1)  and B (x2 , y2), Then  x = (x1 + x2)/2 and that of  y = (y1 + y2)/2

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Since A (-3 , -1) and B (6 , -3),

E is the mid-point of AB

Then  E =[(-3 + 6)/2, (-1 + -3)/2]

         = (3/2 , -2)

Since  F is the mid-point of EB,

         E (3/2 , -2) , B (6 , -3)

Then F = [(3/2 + 6)/2 , (-2 + -3)/2]

       = (15/4 , -5/2)

Since D is the mid-point of AE, A (-3 , -1), E (3/2 , -2)

Then  D = [(-3 + 3/2)/2 , (-1 + -2)/2]

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Note also that:

 BC is said to be an  horizontal segment due to the fact that B and C have similar y - coordinate and G can be found on BC.

Since the y-coordinate of G is similar to y-coordinate of B and C

Then  y-coordinate of G is =  -3

Since DG ⊥ BC

Then DG =  vertical segment

So  G has similar x-coordinate of D

Then  The x-coordinate of G = -3/4

The  G = (-3/4 , -3)

Learn more about coordinate from

brainly.com/question/12481034

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Answer:

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Step-by-step explanation:

over. The

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Answer:

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