Question

Please solve with an explanation

Answer 1

10.8

Explanation:

Hello!

Once, graphed, a right triangle forms, with PQ as the hypotenuse. The other two lengths are 6 and 9.

We can use the Pythagorean theorem:
`a^2 + b^2 = c^2`

• a and b are lengths
• c is the hypotenuse

Solve for PQ

• 
  `a^2 + b^2 = c^2`
• 
  `6^2 + 9^2 = PQ^2`
• 
  `36 + 81 = PQ^2`
• 
  `117 = PQ^2`
• 
  `\sqrt117 = PQ\\`
• 10.8 = PQ

The length of PQ is 10.8.