Solve for x:
x^2 + 4 x + 25 = 0 I ssume that's the notation.
Subtract 25 from both sides:
x^2 + 4 x = -25
Add 4 to both sides:
x^2 + 4 x + 4 = -21
Write the left hand side as a square:
(x + 2)^2 = -21
Take the square root of both sides:
x + 2 = i sqrt(21) or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
x = i sqrt(21) - 2 or x + 2 = -i sqrt(21)
Subtract 2 from both sides:
Answer: x = i sqrt(21) - 2 or x = -i sqrt(21) - 2
Answer:
4 altogether
0,1 + 1, 1 = 1 RA
0,1 + 2,1 = 1 RA
0.2 +1, 2 = 1 RA
0,2 +2,2 = 1 RA
Step-by-step explanation:
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:
1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)
Step-by-step explanation:
The inicial concentration is 60,000, and this concentration triples every 4 days, so we can write the equation:
P = Po * r^t
where P is the final concentration after t periods of 4 days, Po is the inicial concentration and r is the ratio that the concentration increases (r = 3)
Then, we have that:
102000 = 60000 * 3^t
3^t = 102/60 = 1.7
log(3^t) = log(1.7)
t*log(3) = log(1.7)
t = log(1.7)/log(3) = 0.483
so the number of days that will take is 4*0.483 = 1.932 days (or approximatelly 1 day, 22 hours and 22 minutes)
Answer: 720 because 3*3=9 and 240*3=720
Step-by-step explanation:
