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
ludmilkaskok [199]
3 years ago
10

The sum of the square of two consecutive odd intergers is 290. Find the integers.

Mathematics
1 answer:
hoa [83]3 years ago
5 0

Answer:

11 & 13 or - 13 & - 11

Step-by-step explanation:

Let the integers are a - 1 and a + 1.

Sum of squares = 290

=> (a - 1)² + (a + 1)² = 290

=> a² + 1² - 2a + a² + 1² + 2a = 290

=> 2a² + 2 = 290

=> 2(a² + 1) = 290

=> a² + 1 = 290/2 = 145

=> a² = 145 - 1 = 144

=> a = ± √144 = ± 12

If a = + 12, numbers are

12 - 1 = 11 & 12 + 1 = 13

If a = - 12, numbers are

- 12- 1 = - 13 & - 12 + 1 = - 11

You might be interested in
The Philadelphia Museum of Art’s triangular pediment has the measurements shown in the diagram. What is the area?
kherson [118]

Answer:

420 ft^2

Step-by-step explanation:

12x70=840

840/2=420

5 0
3 years ago
➥ The base of a parallelogram is thrice its height. If the area is 897 sq.cm. Find the base and height of the parallelogram.
IgorC [24]

Answer:

The height of parallelogram is 51.87 cm

Step-by-step explanation:

Let The height of a parallelogram = a cm

Then

The base of a parallelogram = 3a cm

So by the given condition

3a×a = 897

3a^2 = 897

a^2 = 897/3

a^2 = 299

a = 17.29

So the height of parallelogram = 3×17.29= 51.87 cm

6 0
3 years ago
I need to know how to set up this problem. Please help
ELEN [110]

your total would be $10 and you have 1 variable. so it would be ($2x) for the pounds of veggies, plus the 3.50 for the basket, equals $10. then solve for X from there

7 0
3 years ago
What is the graph of the solution
Natalka [10]

Answer:

Step-by-step explanation:

6 0
3 years ago
Multiply <br> (4x - 5) (8x^2 + 2x - 4 )
BaLLatris [955]
Studs huh blpgvfvb ib
8 0
3 years ago
Other questions:
  • PLEASE HELP *i'm assuming that by odds it is asking for the probability*
    10·2 answers
  • Find the missing denominator or numerator of 1/2 = /4
    13·2 answers
  • A rectangular plot of ground is 5 meters longer than it is wide. It's area is 20,000 square meters. What is the deminsion
    6·1 answer
  • What is the standard form of y=1x+19
    7·1 answer
  • SOMEONE HELPPP.ILL GIVE BRAINLEST​
    8·1 answer
  • Evaluate the function rule for the given value f(x)=15x for x=3
    9·2 answers
  • How are √25 and √-25 different in the terms of a solution for both? *
    14·1 answer
  • Help pls, i don’t get it
    8·1 answer
  • Solve for θ. <br>sin(74) = cos(θ) <br><br>1. 6° <br>2. 74° <br>3. 36° <br>4. 16° ​
    8·2 answers
  • Please help I will give brainliest <br> A.3<br> B.6<br> C. 9<br> D. 12
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!