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lisov135 [29]
3 years ago
8

a line segment of length 84cm has been divided into two parts in the ratio 4:3 find the length of each part​

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

48 and 36

Step-by-step explanation:

Let the two numbers be 4x and 3x

or4x+3x=84

or, 7x=84

or, x=84÷7

or, x=12

now,

4x=12×4

=48

3x=3×12

=36

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What are the solutions to the quadratic equation below in factored form?
saw5 [17]

Answer:

\cfrac{-4}{3} and \cfrac{1}{2}.

Step-by-step explanation:

Equation:

\rm \:  \: (2x - 1)(3x + 4) = 0

Solution:

Set factors equal to zero,that is:

(2x - 1) = 0 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: ...(1)

(3x + 4) = 0 \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:  \: ...(2)

Solving for equation 1:

  • 2x - 1 = 0
  • 2x = 0  + 1
  • 2x =  1

  • \boxed{x =  \cfrac{  1}{2} }

Solving for equation 2:

  • 3x + 4 = 0
  • 3x = 0 - 4
  • 3x =  - 4

  • \boxed{x =  \cfrac{ - 4}{3} }

Hence,the solutions to the quadratic equation in factored form is \cfrac{-4}{3} and \cfrac{1}{2}.

\rule{225pt}{2pt}

Good luck on your assignment!

4 0
2 years ago
Read 2 more answers
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