The only expressions are letters B and D
First positive number (x) = x
Second positive number (y) = x+3
Product: 180 = x · y
180 = x · (x + 3)
180 = x² + 3x
0 = x² + 3x - 180
0 = (x + 15)(x - 12)
0 = x + 15, 0 = x - 12
x = -15, x = 12
x = -15 is NOT a positive number so it can be disregarded.
Answer: 12
Answer:
6y+44
Step-by-step explanation:
Answer:
centre = (-5, -4)
radius = 7.42
Step-by-step explanation:
The general form for center-radius is
(x - h)² + (y - k)²= r²
Center = (h, k)
Radius = r
Rearrange the equation.
(x² + 10x) + (y² + 8y) - 14 = 0
Add 14 on both sides.
(x² + 10x) + (y² + 8y) = 14
(10/2)² = 25
(8/2)² = 16
Add 25 and 16 to both sides.
(x² + 10x + 25) + (y² + 8y + 16) = 14 + 25 + 16
Factor left side of the equation.
(x+5)² + (x+4)² = 55
(55) = (7.416198)²
(x+5)² + (x+4)² = 7.42²
The radius is 7.42.
The centre is at (-5, -4).
