Centre of circle = (-2, -3)
Equation of the circle:
( x - ( -2) )² + ( y - (-3) )² = (√2/4)²
(x + 2)² + (y + 3)² = 1/8 (Answer D)
2x + (y + x) = 180 [Supplementary angles]
2x + y + x = 180
3x + y = 180 ---------- (1)
(y + x) + (y - x) = 180 [Supplementary angles]
y + x + y - x = 180
2y = 180
y = 90 --------------- sub into (1)
3x + 90 = 180
3x = 90
x = 30
Ans: x = 30, y = 90
Let the number of History books be x. Then:-
x + x - 59 = 343
2x = 402
x = 201
So there are 201 History books and (201 - 59) = 142 Chemistry books.
Step-by-step explanation:
6x=48+9 is the first step
Answer: 12.63 years
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
A = P (1 + r) t
Where:
p = original price
r = increasing rate (decimal form)
t= years
A = price after t years
10= 3 (1 + 10/100) t
10= 3(1.1)^t
10/3= 1.1^t
log 10/3 = log 1.1^t
log 10/3 = t log 1.1
log (10/3)/ log 1.1 =t
t = 12.63 years
Feel free to ask for more if needed or if you did not understand something.