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stira [4]
4 years ago
15

If 1/a, 1/b, 1/c are in Arithmetic Progress, show that 2ac/a+c.​

Mathematics
1 answer:
Iteru [2.4K]4 years ago
6 0
  1. 1/b-1/a = 1/c-1/b [ since they are in arithmetic progress]
  2. 1/b+1/b = 1/c+1/a
  3. 2/b = (a+c)/ac
  4. 2ac = b(a+c)
  5. 2ac/(a+c) =b

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Simplify: (x-3) (x-3)
Pachacha [2.7K]

Answer:

x^2 -6x +6

Step-by-step explanation:

<em>Square of a difference (can be found in IM2)</em>

Formula: a^2 -2ab +b^2

x= a; 3= b

(x -3)(x -3)

<em>Plug in to formula.</em>

x^2 -2(x)(3) +3^2

<em>Simplify.</em>

x^2 -6x +6

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What is 24000 mph in feet per second
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3 years ago
40 points!!! Please help me solve
lana66690 [7]

Answer:

34.6

Step-by-step explanation:

In this triangle we have an angle which is 38° and the side opposite to it which is 27 and we have to find the adjacent side

There is only one formula which have these two sides

tan

tan∅ = opposite ÷ adjacent

tan 38° = 27 ÷ x

x = 27 ÷ (tan 38°)

x = 34.56

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2 years ago
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Neporo4naja [7]

Answer:

Step-by-step explanation:

To find the value of x you must first set up an equation to solve for x. We are told that Hannah has written 142 more lines than Sam so we can make an equation by subtracting Sam's total from Hannah's total.

(7x + 78) - (6x + 73) = 142

Hannah - Sam = Difference

We then begin to solve. First we must distribute the subtraction to all parts of Sam's equation, creating a new equation of:

7x + 78 - 6x - 73 = 142

Then put like terms together

7x - 6x + 78 - 73 = 142

Condense the like terms

7x - 6x = x

78-73 = 5

x + 5 = 142

Then isolate the x by subtracting the 5.

x + 5 (-5)= 142 (-5)

x = 137

Then plug it back into the equation to check and see if your x is correct

(7x + 78) - (6x + 73) = 142

(7(137) + 78) - (6(137) + 73) = 142

(959 + 78) - (822 + 73) = 142

(1037) - (895) = 142

1037 - 895 = 142

4 0
3 years ago
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What is the center? (X-0.5)^2+(y-3.5)^2=16
pantera1 [17]

Answer:

(.5,3.5) is the center and 4 is the radius

Step-by-step explanation:

(X-0.5)^2+(y-3.5)^2=16

This is written in the form

(x-h)^2 + (y-k)^2 =r^2

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(X-0.5)^2+(y-3.5)^2=4^2

(.5,3.5) is the center and 4 is the radius

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