What is the best next step in the construction of the perpendicular bisector of
2 answers:
You might be interested in
Answer:
18 and -2
Step-by-step explanation:
Let x = 1st no.
y = 2nd no.
(1) x + y = 16 (2) xy = -36
y = 16 - x x(16 - x) = -36
(x - 18)(x + 2) = 0
x = 18 or x = -2
y = 16 - 18 = -2
y = 16 -(- 2) = 16 + 2 - 18
The two numbers are 18 and -2
Answer:
Step-by-step explanation:
Hypotenuse² =base² + altitude²
(3x + 4)² = (2x + 1)² + (3x)²
{Use (a+b)² = a² + 2ab + b²}
(3x)² + 2*3x+4 + 4² = (2x)² + 2*2x*1 + 1² + 9x²
9x² + 24x + 16 = 4x² + 4x + 1 + 9x²
9x² + 24x + 16 = 13x² + 4x + 1
0 = 13x² + 4x + 1 - 9x² - 24x - 16
13x² - 9x² + 4x - 24x +1 - 16 = 0
4x² - 20x - 15 = 0
a = 4 ; b =-20 ; c = -15
D = b² - 4ac = (-20)² - 4*4*(-15) = 400 + 240 = 640
√D = √640 = 25.30
x = 5 .66 ; x = -0.66
Ignore x = -0.66 as length of a side cannot be negative
Answer : x = 5.66