Answer:
<u>radius = √13</u>
Step-by-step explanation:
Forming the equation :
<u>(x - h)² + (y - k)² = r²</u>
- (x, y) = point on circle
- (h, k) = center of circle
- r = radius
Solving :
- (-2 + 4)² + (3 - 6)² = r²
- r² = 4 + 9
- <u>radius = √13</u>
Anything over 12/6 will be greater than 4/2 such as 19/6 or 28/6
There exists a similar question that would lead to the relationship of the given circumference to the unknown value. The radius of the larger circle is 12 cm. The formula for determining the circumference is,
C = 2πr
Substituting the known value,
C = 2π x 12 cm = 24π cm
Thus, the answer is letter B.
Answer:
All real numbers
Step-by-step explanation:
4(x+1) = 4x+4
Distribute
4x+4 = 4x+4
Subtract 4x from each side
4x+4-4x = 4x+4-4x
4=4
This is always true so there are infinite solutions
Answer:
7 years (This answer is to the nearest year)
Step-by-step explanation:
The way you could work this out is by trial and error. 11 % a year means that its population increases by 4400 annually. 40,000 X 1.11^1 gives you the amount it would be after one year (44000). I got the 1.11 because of the percentage (0.11) plus the amount you need to do percentage increase (1). Then all you do is keep on going up till you hit the number you need (80,000) after about 7 years the total would have hit 80,000 and would have actually went past it (83046)
