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
zepelin [54]
3 years ago
14

The sum of the squares of two positive integers is 394. If one integer is 2 less than the other and the larger integer is x. Fin

d the integers.
Mathematics
1 answer:
IgorLugansk [536]3 years ago
7 0
Larger is x
the other is called y
sum of squares is 394
x^2+y^2=394
one is 2 less that other
x>y so
y+2=x
subsitute y+2 for x

(y+2)^2+y^2=394
expand
y^2+4y+4+y^2=394
add like terms
2y^2+4y+4=394
divideboth sides by 2
y^2+2y+2=197
subtract 197 from both sides
y^2+2y-195=0
factor
(y+15)(y-13)=0
set each to zero
y+15=0
y=-15
impossible since it is stated that they are positive so get rid of this solution
y-13=0
y=13

find other
y+2=x
13+2=x
15=x


numbers are 13 and 15
You might be interested in
The sum of the squares of three consecutive even integers is 980. Determine the integers.
olganol [36]

Answer:

  16, 18, 20

Step-by-step explanation:

We can estimate that the square of the middle integer will be about 1/3 of 980. Then the middle integer is about ...

  √(980/3) ≈ 18.09

The integers are 16, 18, 20.

_____

<em>Check</em>

  16^2 +18^2 +20^2 = 256 +324 +400 = 980

4 0
3 years ago
Read 2 more answers
12,192÷48 long divison
Svetach [21]
The answer is 254, but here is the walkthrough: First, I recommend trying to remember the steps of long division by using Daddy, mommy, sister, brother. Daddy for divide, mommy for multiply, sister for subtract, and brother for bring down. Then, simply follow the steps:

5 0
3 years ago
Read 2 more answers
Multiply.<br><br> Answer as a fraction. Do not include spaces in your answer.
Vika [28.1K]

Answer:

I got 0.475 hope it helps!

ohh sorry didn't see the answer as a fraction part.

I tried it again and got 19/40 I hope you get it right!

5 0
3 years ago
A 9230-kg truck collides head on with a 1250-kg parked car. The vehicles entangle together and slide a linear distance of 10.6 m
Helen [10]

Answer:

=>By the work energy relation:-

=>W = ∆KE

=>Ff.s = 1/2(M+m)v^2

=>µk x N x s = 1/2(M+m)v^2

=>µk x (M+m) x g x s = 1/2(M+m)v^2

=>v = √[2µkgs]

=>v = √[2 x 0.82 x 9.8 x 10.6]

=>v = 13.05 m/s

By the law of momentum conservation:-

=>Mu = (M+m)v

=>9230u = (9230+1250) x 13.05

=>u = 14.82 m/s

Step-by-step explanation:

3 0
3 years ago
PLEASE HELP ASAP, I also have other questions i need help with
Alecsey [184]
2x+7+12y+1=180 and
2x+7=3x-7

x+6y=86 and
x=14

so x+6y=86 is 14+6y=86

6y=72

y=12

answer: x=14 and y=12
8 0
3 years ago
Other questions:
  • Hey,Can someone help me Solve this Math problem ​
    14·2 answers
  • A nurse has a gross income of $1200. And net income of $950 per week. What is the percentage deductions per week
    8·1 answer
  • Describe the steps you would use to factor 2x^3+5x^2-8x-20 then state factored form
    15·2 answers
  • The average number of spectators at a football competition for the first five days was 3,144.The attendance on the sixth day was
    10·1 answer
  • A spherical raindrop evaporates at a rate proportional to its surface area. Write down a differ- ential equation for its volume
    13·1 answer
  • Help ASAP!!! Which expression gives the length of the transverse axis of the hyperbola
    11·2 answers
  • A researcher records the level of attention among 18 students during an interactive and lecture portion of a single class. If sh
    10·1 answer
  • 1.
    11·1 answer
  • Grammy is buying a pair of Jeans that regularly cost $40. They are on sale for 20% off.
    11·1 answer
  • Find the slope from points (9,-13), (7,-11)? That’s what my question is for my math homework.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!