Answer:
2x^2/3yz^7
Step-by-step explanation:
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
Step-by-step explanation:

Answer:
180°
Step-by-step explanation:
The sum of angles in any triangle is 180°
Answer:
(x+8)^2+y^2=16
Step-by-step explanation:
The equation for a circle in center-radius form is
(x-h)^2+(y-k)^2=r^2
where (h,k) is the center and r is the radius.
We are given the diameter is 8 so the radius is 8/2=4.
We are also given (h,k) is (-8,0).
The equation for the circle is
(x--8)^2+(y-0)^2=4^2
(x+8)^2+y^2=16