Answer:
(x - 1)^2 + (y - 0.5)^2 = 25.
Step-by-step explanation:
We need to calculate the radius and the coordinates of the center of the circle.
The center is at the midpoint of the diameter = (-1 + 3)/2 , (2+-1)/2
= (1, 0.5).
The radius = 1/2 * diameter = 1/2 * √[ (-1-3)^2 + (2 - -1)^2 ]
r = √25/2 = 2.5
r^2 = 2.5^2 = 6.25.
The general form of the equation is
(x - a)^2 + (y -b)^2 = r^2 where (a,b) is the center and r = the radius.
So the required equation is:
(x - 1)^2 + (y - 0.5)^2 = 6.25.
Answer:
Step-by-step explanation: see attachment
19/57 in simplest form is 1/3 and is 0.333 in decimal form
A= (h(a+b))/2
multiply each side by 2
2A = (h(a+b))
divide each side by h
2A/h = a+b
subtract a from each side
2A/h -a = b
Answer:
ANSWER
n < - 3 \: or \: n > - 2n<−3orn>−2
EXPLANATION
The given inequality is,
|2n + 5| \: > \: 1∣2n+5∣>1
By the definition of absolute value,
- (2n + 5) \: > \: 1 \: or \: (2n + 5) \: > \: 1−(2n+5)>1or(2n+5)>1
We divide through by negative 1, in the first part of the inequality and reverse the sign to get,
2n + 5 \: < \: - 1 \: or \: (2n + 5) \: > \: 12n+5<−1or(2n+5)>1
We simplify now to get,
2n \: < \: - 1 - 5 \: or \: 2n \: > \: 1 - 52n<−1−5or2n>1−5
2n \: < \: - 6 \: or \: 2n \: > \: - 42n<−6or2n>−4
Divide through by 2 to obtain,
n \: < \: - 3 \: or \: n \: > \: - 2n<−3orn>−2
