In a right angle, the sum of the squares of the two shorter sides is equal to the square of the longest side.
Here, the longest side is 25, the shorter sides are x and x+5.

$x^2+(x+5)^2=25^2 \\
x^2+x^2+10x+25=625 \\
2x^2+10x+25=625 \ \ \ |-625 \\
2x^2+10x-600=0 \ \ \ |\div 2 \\
x^2+5x-300=0 \\
x^2+20x-15x-300=0 \\
x(x+20)-15(x+20)=0 \\
(x-15)(x+20)=0 \\
x-15=0 \ \lor \ x+20=0 \\
x=15 \ \lor \ x=-20
$

The length of a side must be a positive number, so x=15.
The answer is C.

6 0

3 years ago

You shopped online and found you mp3 player for $9.75 less than the store price p. The online price was $64. Write and solve an

katrin [286]

Answer:

64 = p - 9.75
p = 73.75

Step-by-step explanation:

A value that is 9.75 less than p can be represented by the expression ...

p - 9.75

We are told that value is equal to 64, so the equation is ...

64 = p - 9.75

This equation is solved by adding 9.75 to both sides.

64 +9.75 = p -9.75 +9.75

73.75 = p

The store price is $73.75.

4 0

3 years ago