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4 years ago

One positive integer is 5 less than twice another. The sum of their squares is 725. Find the integers.

1 answer:

4 0

Let the numbers are a and b; a - 5 = 2b, and -------------- (1)a2 + b2 = 250 ----------------(2) rewriting and squaring of (1) is given as; a2 = 4b2 + 20b + 25 -------- (3) substituting (3) into (2) (4b2 + 20b + 25) + b2 = 250, thus 5b2 + 20b - 225 = 0 by dividing both sides by 5 b2 + 4b - 45 = 0 solving the quadratic for b, we will get b = -9 or 5, substituting these for b in (1), we will get a asa = -13 or 15 However, if a and b must be positive integer, then a = 15 and b = 5 is the answer

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Feliz [49]

Answer:

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Step-by-step explanation:

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4 years ago

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attashe74 [19]

Answer:

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Step-by-step explanation:

PEMDAS says multiply and divide from left to right

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3 years ago

Which statement is true of the function f(x) = ? Select three options.

Marianna [84]

Answer:

The function has a domain of all real numbers.

The function has a range of {y|–∞ < y <∞ }.

The function is a reflection of y=∛x

Step-by-step explanation:

Given:

f(x)=-∛x

domain is set of all values that x can take for which the function is defined, so

for above function domain= set of all real numbers

range is set of values that corresponds to the set of values of domain, so for given f(x) range={y|–∞ < y <∞ } set of real numbers

Now f(x)=-∛x hence its reflection will be

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3 0

3 years ago

Read 2 more answers

Find the value of L. Perimeter =22. Width is 5. So what is L. On a square

SSSSS [86.1K]

P= L+W
P= Perimeter, L= Length and W=Width
Length + Width = Perimeter
So, then P(22) - W(5) = L(17)
Hope that helps.

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3 years ago

Use the expressions that represent the length and width of the game board to write an equation that models the area of the figur

Ne4ueva [31]

The picture is incomplete and the width is missing.

I am going to show you how to do it using any width.

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Assume the width is - x + a.

Then the area of the rectangle with dimensions x + 4 and - x + a is calculated in this way:

1) given: (x + 4) (- x + a)

2) use distribuitive property: (x)(-x) + (x)(a) + (4)(-x) + (4)(a)

= - x^2 +ax -4x + 4a

3) Combine like terms: - x^2 + (a -4)x + 4a

If the polynomial missing were - x + 7, the answer would be:

- x^2 + (7 -4)x + 4(7) = - x^2 + 3x + 28

With this you are able to get the answer using the real values.

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3 years ago