1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
GuDViN [60]
3 years ago
15

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

Mathematics
1 answer:
finlep [7]3 years ago
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
What is the slope of a line that is perpendicular to the line y=-1/3x-6?
max2010maxim [7]
Y=-1/3x-6, for this line, the slope (m) is -1/3.
This is because the equation is in the slope intercept form: y = mx + b.
The perpendicular line to one with m = -1/3, is the negative reciprocal of m, we'll call it m2.
m2 = --3/1 = +3/1 = 3
4 0
3 years ago
given a rectangle of length a and width b if A and B are both rational numbers would the perimeter be irrational or rational? Gi
Kitty [74]
The perimeter would be rational due to both the width and length being rational numbers. A rational number is a number that can be written as a fraction such as 8 it can be written as 8/1, but a irrational would be a decimal number which in this case there would be none because both length and width is rational number. For example, Lets say the width is 8 and the length is 10. once both are written into fraction form such as 8/1 and 10/1 we add them to get a perimeter of 18.
Hope this helps! <span />
8 0
3 years ago
? Explain idk what that means
Korvikt [17]

7 people, 7 walls, 48 minutes

Each person paints 1 wall in 48 minutes

20 persons, 20 walls

Each can paint 1 wall in 48 minutes so it will

take 48 minutes.

5 0
3 years ago
Help me!!!!!!!!!! Fastttttttt!!!!!!
frez [133]

Answer:

mUST=20.35

Step-by-step explanation:

look at my working

4 0
3 years ago
Find last​ year's salary​ if, after a 4% pay​ raise, this​ year's salary is $36,920.
Leokris [45]
Multiply .04 and $36,920... Giving you $1,476.80 as the amount for the 4% raise. Subtract the raise from this year's salary giving you $35,443.20
7 0
3 years ago
Other questions:
  • The net below is for a number cube. What are the three sums of the numbers on opposite surfaces of the cube?
    14·1 answer
  • The perimeter of a triangle is 51 centimeters. The lengths of its sides are consecutive odd integers. Find the lengths of all th
    6·1 answer
  • Blank thousands equals 1800 tens
    10·2 answers
  • Kiri has red and white roses in groups of 8. She has x groups of red roses and y groups of white roses. Which expression shows t
    13·1 answer
  • Please help me im having so much trouble
    5·1 answer
  • AB is congruent to CD. Point P is the midpoint of AB, and point Q is the midpoint of CD. Which relationship must be true?
    7·2 answers
  • The number of buttons an industrial button machine can manufacture each hour, y, varies directly with the number of active hours
    10·1 answer
  • Quadrilateral QRST is a square. If the measure of RS is 12x + 5 and QT is 8x + 15. find the value of QR ​
    10·2 answers
  • A number rounded to the nearest thousand is 47000 which number could be the number that was rounded?
    6·1 answer
  • Charlotte borrowed $834 to pay for a weekend trip the interest rate she agreed to pay is 3%. If she takes 2 years to pay back th
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!