Answer:
n=11
Step-by-step explanation:
5n-3n=18+4
2n=22
n=22/2
n=11
Answer:
(x-5)²+(y-2)²=52
Step-by-step explanation:
first find the midpoint (center of the circle)
(9+1)/2, (-4+8)/2
(5, 2) = center
then distance formula to find diameter
√(9-1)²+(-4-8)²=√64+144 = √208 = 2√52
The radius is half the diameter = √52
Formula for circle is (x-h)²+(y-k)²=r², where (h, k) is the center
Now you can plug everything in.
(x-5)²+(y-2)²=52
320 students. Because you have to divide 384 by 6 which will give you 64 which is the number for the students that chose art and then subtract that from the total students which are 384 and you'll get 320 as your answer for the student that didn't pick art.
Interest = P*r*t
The rate is an annual rate, so time must be in years.
3 months = 1/4 year = 0.25 years
Interest = (300)(0.12)(0.25) = 9
The angles look like

F- angles are corresponding angles.
Corresponding angles are congruent.