Answer:
(8) d. 4/3 (9) a. (X - 4)^2 + (y-4)^2= 25
Step-by-step explanation:
8. CENTER OF CIRCLE: O (2,6)
radius of circle : r = √4 = 2
if m = 4/3 line: y = 4/3 x
perpendicular distance (d) from center of circle to line y = 4/3 x is
d = |((4/3 x 2) + (-1) x 6)| / √((4/3)² + (-1)²) = |(-10/3)| / √(25/9) = (10/3) / (5/3) = 2
d = r means line touch with circle
9. center of circle is the intersection of the diagonals of rectangle (4,4) and its radius is 5 (illustrated)
the equation of circle: (X - 4)^2 + (y-4)^2= 25
Answer:
1% given away means 1/100 × 3= 0.03
therfore what is left is : 3-0.03= 0.97
Answer:
cups of flour is required for 3 sticks of butter.
Step-by-step explanation:
We assume that quantity of flour is proportional to butter.
Given : The recipe calls of
cups of flour and
stick of butter.
Let

For
, we will find
by using formula of direct proportion: 

Hence,
cups of flour is required for 3 sticks of butter.
Let, the number = x
Then,x * 120% = 36
x * 1.20 = 36 [ 120% = 1.20 ]
x = 36 / 1.20
x = 30
In short, Your Answer would be 30
Hope this helps!
First you would take 312 and divide it by 13. Using that answer and put it over 1. Then times the answer that you just got by twelve. Then put that in a mixed number in its simplest form.