Answer:
The answer is A.
Step-by-step explanation:
While they don't give nearly enough information on sampling size to be credible data or how many kids vs how many adults, the simplistic answer is (A) a greater percentage of kids experienced side effects among their peers than the adults among their peers.
Answer
Find out the which coordinate pair identifies the center of the circle represented by 4x² + 4y² − 16x − 24y + 36 = 0.
To prove
The general equation of the circle is
(x - h)² + (y - k)² = r²
Where h,k are the centre and r is the radius.
4x² + 4y² − 16x − 24y + 36 = 0
Divided both side by 4.
x² + y² − 4x − 6y + 9= 0
Add and subtract 4 and 9
x² + y² − 4x − 6y + 4 -4 +9 - 9 +9= 0
x² + y² − 4x − 6y + 4 -4 + 9 - 9 +9= 0
x² + 4 - 2× 2 × x + y² + 9 - 2 × 3 × y = 9 + 4 - 9
using the formula ( a + b )² = a² + b² +2ab
(x - 2)² + (y - 3)² = 2²
Compare this with the general equation of circle.
Thus
h = 2 , k = 3
Option A is correct .
Answer:
x = 12
Step-by-step explanation:
You can use power of a point to solve this problem in the scenario where two secants intersect in the exterior of a circle. You get the equation:
(x + 5 + 7)(7) = (x + 1 + 8)(8)
You can simplify to get:
(x + 12)(7) = (x + 9)(8)
7x + 84 = 8x + 72
84 = x + 72
x = 12
You know 1 is not a root because the sum of the coeffcients of the equation is 14, not zero.
It is fairly easy to try 3 by synthetic division (see attachment), which tells you that 3 is a root and the remaining quadratic factor is x²-3x-5. The quadratic formula tells you the roots of that factor are
... x = (-b±√(b²-4ac))/(2a) = (3±√29)/2
The appropriate choices are
... C. (3-√29)/2
... D. (3+√29)/2
... F. 3
_____
The quadratic formula tells you the solution to
... ax²+bx+c=0
is x = (-b±√(b²-4ac))/(2a)
We have a=1, b=-3, c=-5.
Math
8/12 + 8/12
8 + 8 = 16
16/12
Your Answer:
4/3 for your fraction.
in the Decimal form, it would be 1.33333
in rounded up form it would be 1.3