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mafiozo [28]
3 years ago
5

The sum of two numbers is 8, and the sum of their squares is 34. what is the larger number

Mathematics
1 answer:
bija089 [108]3 years ago
6 0

Answer:

The larger number is 5.

Step-by-step explanation:

Let the numbers be represented by x and y.  Then:

x + y = 8   is their sum, and

x² + y² = 34 is the sum of their squares.

Let's solve this system of equations using substitution.  Since x + y = 8,

x = 8 - y.  Subbing this 8 - y for x into the second equation, we get:

(8 - y)² + y² = 34, or

64 - 16 y + y² + y² = 34

Simplifying, we get first: 30 - 16y + 2y² = 0, and then:

2y² - 16y + 30 = 0, and after reducing, y² - 8y + 15 = 0.

This factors into (y - 3)(y - 5) = 0, and so y = 3 and y = 5.

The larger number is 5.

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Evaluate the exponent expression 3x–4 ⋅ xy2 for x = –1 and y = 2.
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Answer:

48

Step-by-step explanation:

Given,

x = - 1

y = 2

To find : The value of 3x - 4 ⋅ xy² ?

Substitute the given values of x and y in the expression 3x - 4 ⋅ xy².

3x - 4 ⋅ xy²

= 3 ( - 1 ) - 4 ⋅ ( - 1 ) ( 2 )²

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= - 12 ⋅ - 4

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Note : -

When a negative number gets multiplied with a negative, the resulted number is a positive number.

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7 0
3 years ago
Read 2 more answers
Brad has eight more nickels than quarters. Altogether he has $6.10. how many of each does he have
wlad13 [49]

Brad have 19 quarters and 27 nickels.

Step-by-step explanation:

Given,

Total worth of nickels and quarters = $6.10 = 6.10*100 = 610 cents

One quarter = 25 cents

One nickel = 5 cents

Let,

x represent the number of quarters.

y represent the number of nickels.

According to given statement;

25x+5y=610     Eqn 1

y = x+8              Eqn 2

Putting value of y from Eqn 1 in Eqn 2

25x+5(x+8)=610\\25x+5x+40=610\\30x=610-40\\30x=570

Dividing both sides by 30

\frac{30x}{30}=\frac{570}{30}\\x=19

Putting x=19 in Eqn 2

y=19+8\\y=27

Brad have 19 quarters and 27 nickels.

Keywords: linear equation, subtraction

Learn more about subtraction at:

  • brainly.com/question/9369548
  • brainly.com/question/9328925

#LearnwithBrainly

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Sam will be 5 foot 4 inches
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