Answer:
A. 
Step-by-step explanation:
1. The standard form of the equation of a circle is 
2. To find the center we require the midpoint of the 2 given points
center =![[\frac{1}{2}(-4-6),\frac{1}{2}(11+5)]](https://tex.z-dn.net/?f=%5B%5Cfrac%7B1%7D%7B2%7D%28-4-6%29%2C%5Cfrac%7B1%7D%7B2%7D%2811%2B5%29%5D)
=(-5,8)
3. The radius is the distance from the centre to either of the 2 given points calculate the radius using the distance formula
d= 
let 
and 
r=
--> 
-->
Hey there!
In this picture, we have many pairs of adjacent angles:
1 and 2
2 and 4
4 and 3
3 and 1
This is because these pairs are being connected by a vertex and a side.
Hope it helps and have a great day!!!
Answer:
-4 sqrt(7)/7
Step-by-step explanation:
csc theta = -4/3
csc theta = hypotenuse / opposite side
hypotenuse = 4
opposite = 3
Using the pythagorean theorem
a^2 + b^2 = c^2
3^2 + b^2 = 4^2
9+b^2 = 16
b^2 = 16-9
b^2 = 7
Taking the square root
sqrt(b^2) = sqrt(7)
b = sqrt(7)
We are in the third quadrant so only tan and cot are positive
that means the x and y values are "negative" so a = -3 and b = - sqrt(7)
sec theta = hypotenuse / adjacent
= 4/ - sqrt(7)
rationalizing
-4 sqrt(7)/ sqrt(7)* sqrt(7)
= -4 sqrt(7)/7
Answer:
Option 4
Step-by-step explanation:
Term = n/(4^n)
(n+1)th term = (n+1)/[4^(n+1)]
Ratio: (n+1)/[4^(n+1)] ÷ n/(4^n)
= (n+1)/[4^(n+1)] × (4^n)/n
= [(n+1)/n] × (1/4)
For large n, (n+1)/n approaches 1
[(n+1)/n] × (1/4) approaches 1/4 which is less than 1
Since the ratio is less than 1, series converges
Answer: y=-3x/4 -1/4
Step-by-step explanation:
y=mx+b
-1=-3/4 * 1 +b
-1=-3/4 + b
(-1=-3/4 + b)*4
-4=-3+4b
4b=-1
b=-1/4
y=-3x/4 -1/4
