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

You might be interested in

The mass of Earth is about 6 X 1024

storchak [24]

Answer:

Step-by-step explanation:

To do "how many times greater" problems, you divide. Think how you would answer this: How many times greater is 48 than 6? Dividing the larger 48 by the smaller 6 gives 8. 48 is 8 times greater than 6.

Do the same thing for these two masses.

6 x 10^24 divided by 7.4 x 10^22 is about 81.

The attached image shows a TI-83 display.

7 0

3 years ago

Helpppppppppppppppppppppppppppppp

3241004551 [841]

Answer:

first option: Harulo is correct because the angle is coterminal with 3π / 4 and the reference angle is π / 4.

Explanation:

1) 19 π/4 = 4π + 3 π/4, which is 4 complete turns and 3/4 of turn.

2) 3 π/4 is in the third quadrant, so the reference angle is π - 3 π/4 = π/4

3) sin (π/4) = sin (3π/4) = (√2) / 2

4) csc (π/4) = 1 / [ sin (3π/4) ] = 1 / [ (√2) / 2 ] = 2 / (√2) = √2, which shows the validity of the statement and csc(19π/4) = √2.

3 0

4 years ago

Henry uses a total of 36 blue beads and 28 red beads to make 4 bracelets. Each

mart [117]

Answer: (9,7)

Step-by-step explanation: 32 Divided by 4 = 9 and 28 Divided by 4 = 7.

So there would be 9 Blue and 7 Red

8 0

2 years ago

Read 2 more answers

Y-3=5(x-2) what are the intercepts t of x and y x=(_,_) y=(_,_)

yan [13]