Answer:
The center is located at (-1, -2), and the radius is 5.
Step-by-step explanation:
The general equation of a circle is given as
(x - a)^2 + (y - b)^2 = r^2
where
a and b are the centre of the circle and r is the radius
Given the equation
x2 + 2x + y2 + 4y = 20
add 1 ad 4 to both sides
x2 + 2x + 1 + y2 + 4y + 4 = 20 + 4 + 1
factorise
(x +1)^2 + (y+2)^2 = 5^2
comparing with the general equation
a = -1, b = -2, r = 5 (all measured in units)
Two whole numbers whose least common denominator is 36 could be many different pairs: 1 and 36, 2 and 36, 3 and 36, 4 and 36, 4 and 18, 4 and 9, 6 and 36, 9 and 36, 9 and 12, 12 and 36, 12 and 18, 18 and 36, and lastly 36 and 36.
If you want fractions in simplest form, with different denominators, and with an LCD of 36, I would go with 4/5 and 9/13.
I think the reason these work is because 5, 13, and 36 are all pairwise relatively prime (meaning the LCD of any two of them is their product), and because the LCD of 4 and 9 is 36, like I said earlier.
First, we need to find her current age. If she was 12 years old 3 years ago, her current age is 12 + 3 which is 15. If the ratio of Sarah's age to Keisha's age is 4:5 (Sarah's age is the 4 and Keisha's age is the 5).
If we take 15 and divide that by 5 (her ratio), then you get 3. Now multiply 3 by 4 to find Sarah's age. We get 12. Nine years from now, her age is 12 + 9 which is 21.
There is the answer. Sarah's age in 9 years is 21 years old. I hope this helps.
Answer:
22 degrees to the nearest degree.
Step-by-step explanation:
Use the Cosine Rule
3^2 = 5^2 + 7^2 - 2*5*7*cos T
9 = 74 - 70 cos T
cos T = (74-9)/ 70
cos T = 65/70
m < T = 21.8 degrees.
Answer:
IT EITHER B OR C
Step-by-step explanation:
WELL LOOK AT THE LETTERS DO THEY LOOK ALIKE IF THEY DO NOT THEN IT NOT RIGHT IF NOT THEN WELL YOU GET IT RIGGHT?
