Answer:
C
Step-by-step explanation:
7 5/6 is 7.833333333333333333333
You write the problem as a mathematical expression
3x^2 + 30x + 75 =
Factor: 3 out of 3x^2 + 30x + 75.
3 (x2 + 10x + 25)
Factor using the perfect square rule.
And then your answer should be 3 ( x + 5) ^2
Answer:
45 cm
Step-by-step explanation:
Let x represent the length of the longer leg. Then the hypotenuse is x+8 and the shorter leg is x-17. The Pythagorean theorem gives the relation between these values as ...
(x +8)^2 = x^2 +(x -17)^2
x^2 +16x +64 = 2x^2 -34x +289 . . . . eliminate parentheses
0 = x^2 -50x +225 . . . . . put in standard form
0 = (x -45)(x -5) . . . . . . . . factor
Solutions to this equation are x=5 and x=45. The value of x must be greater than 17, so the useful solution is x=45.
The length of the longer leg of the triangle is 45 cm.
