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Travka [436]
3 years ago
5

when directed to solve a quadratic equation by completing the square, Sam arrived at the equation (x-(5/2))^2= (13/4). which equ

ation could have been the original equation given to Sam?
Mathematics
1 answer:
Tasya [4]3 years ago
7 0
We have the following expression:
 (x- (5/2)) ^ 2 = (13/4)
 Let's rewrite the given expression:
 x ^ 2 - 5x + 25/4 = (13/4)
 x ^ 2 - 5x + 25/4 - 13/4 = 0
 x ^ 2 - 5x + 12/4 = 0
 x ^ 2 - 5x + 3 = 0
 Answer:
 
the original equation given to Sam could have been:
 
x ^ 2 - 5x + 3 = 0
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Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Step-by-step explanation:

Let,

Weight of large box = x

Weight of small box = y

According to given statement;

5x+2y=102      Eqn 1

3x+8y=153      Eqn 2

Multiyplying Eqn 1 by 4

4(5x+2y=102)\\20x+8y=408\ \ \ Eqn\ 3

Subtracting Eqn 2 from Eqn 3

(20x+8y)-(3x+8y)=408-153\\20x+8y-3x-8y=255\\17x=255

Dividing both sides by 17

\frac{17x}{17}=\frac{255}{17}\\x=15

Putting x=15 in Eqn 2

15(3)+8y=153\\45+8y=153\\8y=153-45\\8y=108

Dividing both sides by 8

\frac{8y}{8}=\frac{108}{8}\\y=13.5

Each large box weighs 15 kilograms and each small box weighs 13.5 kilograms.

Keywords: linear equation, elimination method

Learn more about elimination method at:

  • brainly.com/question/10541435
  • brainly.com/question/10666510

#LearnwithBrainly

4 0
4 years ago
A figure is shown with parallel lines a and b. What is the measure, in degrees, of ∠r?
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The box means right angle, or 90 degrees

180-90-48=42 degrees

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Step-by-step explanation:

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Therefore your answer is 0.2308

I hope this helps! :)

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