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
patriot [66]
3 years ago
12

The length of the longer leg of a right triangle is 6 inches more than twice the length of the shorter leg. The length of the hy

potenuse is 9 inches more than twice the length of the shorter leg. Find the side lengths of the triangle.​
Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0

9514 1404 393

Answer:

  15 in, 36 in, 39 in

Step-by-step explanation:

The Pythagorean theorem tells us that for short side x, the relation is ...

  (2x +9)² = (2x +6)² +x²

  4x² +36x +81 = 4x² +24x +36 +x²

  x² -12x -45 = 0 . . . . . subtract the left-side expression

  (x -15)(x +3) = 0 . . . . factor

  x = 15 . . . . . . . . . . . the positive value of x that makes a factor zero

The side lengths of the triangle are 15 inches, 36 inches, and 39 inches.

You might be interested in
Graph the solution<br><br>PLZZZ I NEED HELP ASAP
SSSSS [86.1K]
5. x <= 2
6. x > -6
7. w>1
8. m>-4
9. x <= 2 or x>= 8
10. no solution
11. n>= -1 or n <-5
12. k= 15/2 and k>= 4
3 0
2 years ago
Figure 2 length 10 width find perimeter and area
Anestetic [448]
The answer to that question is four
4 0
2 years ago
Read 2 more answers
Solve and simplify<br> 3. (y^2-7y-5)-(-3y^2+3y-4)
yKpoI14uk [10]

(y^2-7y-5)-(-3y^2+3y-4)=y^2-7y-5-(-3y^2)-3y-(-4)\\\\=y^2-7y-5+3y^2-3y+4

<em>combine like terms</em>

=(y^2+3y^2)+(-7y-3y)+(-5+4)=\boxed{4y^2-10y-1}

7 0
2 years ago
The total pay for 12 hours of work at a base rate of (p) per hour plus a temporary raise of $2.50 per hour. How would I write th
Naddika [18.5K]
12P+2.50 HOPE THIS HELPS
4 0
2 years ago
Select two ratios that are equivalent to
aliina [53]

Answer:

21 : 30 and 35 : 50​

4 0
3 years ago
Read 2 more answers
Other questions:
  • Given cosx=12/13cosx=12/13 and sinx=5/13sinx=5/13 . What is ratio for ​ tanxtanx ​ ? leave answer as a fraction in simplest form
    6·2 answers
  • If r = 45 cm and q = 53 cm, what is the length of p?
    11·1 answer
  • If stanley bought a sandwich, that cost $3 with 50% off. what was the original price?
    7·2 answers
  • How do you convert from standard form to slope
    9·1 answer
  • What's is 24/60 as a decimal
    7·1 answer
  • M∥n, m∠1 = 50°, m∠2 = 48°, and line s bisects ∠ABC. What is m∠3?
    10·1 answer
  • An old railroad car was able to haul one days worth of coal in 15 hours the new railroad car only takes 10 hours because of high
    7·1 answer
  • PLEASE HELP<br>find the perimeter of the figure ​
    8·1 answer
  • The population of a city has been increasing by 2% annually. The sign shown is from the year 2000.
    7·1 answer
  • An automotive service center would like feedback on its customer service. each customer receives a printed card after they pay f
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!