What is the total area of the following composite figure?
1 answer:
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Given:
The center of the circle = (-2,1).
Circle passes through the point (-5,3).
To find:
The equation of the circle.
Solution:
Radius is the distance between the center of the circle and any point on the circle. So, radius of the circle is the distance between the points (-2,1) and (-5,3).
On further simplification, we get
The standard form of a circle is:
Where, (h,k) is the center of the circle and r is the radius of the circle.
Substitute h=-2, k=1 and .
Therefore, the equation of the circle is .
To find the y-intercept, simply set the value of x equal to 0, and solve for y, or f(x).
f(x) = 0^2 - 3(0) - 40
f(x) = -40
<h3>The y-intercept is -40.</h3>Because this is a 2nd degree polynomial, we cannot find the x-intercepts in one step, and must instead use one of a few different methods.
In this case, we're going to use the quadratic formula:
Plug in the values.
3 +/- √(-3^2 + 160) / 2
3 +/- √169 / 2
3 +/- 13 / 2
(3 + 13) / 2 = 16 / 2 = 8
(3 - 13) = -10 / 2 = -5
<h3>The x intercepts are 8, and -5.</h3>Answer:
A) 0.15
B) 0.36
Step-by-step explanation:
First Box consist 1 red pills and 19 blue pills
second box consist 6 red pills and 14 blue pills
Third box consist 2 red pills and 18 blue pills
a) Prob ( randomly chosen pill is red)
b)Prob ( 1 reds and 10 blue pilss) =