Answer:
Step-by-step explanation:
Comment
The basic equation of a circle is
(x - a)^2 + (y - b)^2 = r^2
a and b are the coordinates of the center of the circle
r is the radius.
Development of the equation
r = 1 - 1/2 = 1/2. r is the distance between the red dot and the blue dot.
So far what you have is (x - a)^2 + (y - b)^2 = (1/2)^2
The center is the red dot.
x = 1
y = - 1
Answer: (x - 1)^2 + (y + 1/2)^2 = 1/4
Answer: -11
Step-by-step explanation: 5 squared is 25 and 12(-3) is 36 and 25+-36=-11
X² +18x = 0
To complete the square we are going to use formula a² +2ab +b² = (a+b)²
x² +2*9*x = 0
x² +2*9x+9² = 9²
(x+9)² = 9²
√(x+9)² = +/-√9²
x+9 = 9, or x+9 = -9
x=0, or x= - 18
The equation could be solved different way
x² +18x = 0
x(x+18) = 0
x=0 or x+18=0
x=0 or x=-18
42 degrees is the average.
Answer:
When x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞
Step-by-step explanation:
Hi there!
First, let´s write the function:
f(x) = (7x⁵ - 3x +1) / (4x³ + 2)
When x ⇒ +∞
f(x) ⇒ (7x⁵ - 3x) / 4x³ because (7x⁵ - 3x)>>>1 and 4x³>>>2 we can neglect those constants.
f(x) ⇒7x⁵/4x³ - 3x/4x³
f(x) ⇒ 1.75x² - 0.75/x² (0.75/x² ⇒ 0 because a number divided by a very big number is approximately zero). Then:
f(x) ⇒ 1.75x² ⇒ +∞
When x ⇒ -∞
f(x) ⇒ 1.75x² = +∞ (because x² is always positive)
Then, when x ⇒ +∞ and x ⇒ -∞, f(x) ⇒ +∞
