Answer:
(5 - 7i)(8 + i)
F) 40 - 561
H) 37 - 371
K) -16 - 2i
G) -33 - 61i
J) 47 - 51i
- 9 below
Step-by-step explanation:
Answer:
A. 5
Step-by-step explanation:
The triangle will be a right triangle when the side lengths satisfy the Pythagorean theorem: the sum of the squares of the legs is equal to the square of the hypotenuse.
(x +1)^2 +x^2 = (√61)^2
x^2 +2x +1 +x^2 = 61 . . . eliminate parentheses
2x^2 +2x = 60 . . . . . . .subtract 1, collect terms
x^2 +x -30 = 0 . . . . . divide by 2, subtract 30
(x +6)(x -5) = 0 . . . . factor the quadratic
x = -6 or +5
The solution is x = 5.
_____
Side lengths cannot be negative. Solution values are values of x that make the factors zero. x+6=0 when x=-6, for example.
SOLUTION
A triangle has three sides. The sides of this triangle are 7 inches, 5inches and the unknown side.
Let the unknown side be x inches.
Perimeter is distance around a plane shape.
The perimeter of this triangle is 19,

Therefore, the other side is 7 inches