<span>The answer would be yes, the locus of points idea allows you to
define a circle without giving a numerical value for the radius.
A locus of points</span> is the set of <span>points<span>, and only those </span>points</span>, that satisfies given conditions. The locus of points at a given distance from a given point is a circle whose center
is the given point<span> and whose radius is the given distance.</span>
reflection of
over the y axis we get 
Step-by-step explanation:
We need to find the reflection of f(x)=sqrt x over the y axis
So, reflection over y- axis
If the function f(x) is transformed over y-axis then the new function g(x) will be 
So, finding reflection of
over the y axis we get:

So, reflection of
over the y axis we get 
Keywords: Transformations
Learn more about Transformations at:
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Answer:

Step-by-step explanation:
Given equation of line is:
y = -4x+9
Comparing it with the standard form
y = mx+b
m = -4
As we know that the product of slopes of perpendicular lines is -1
Let m1 be the slope of perpendicular line
m * m1 = -1
-4 * m1 = -1
m1 = -1/-4
m1 = 1/4
In order to find the value of b, putting the point in standard form
5 = (1/4)*4 + b
5 = 1 + b
b = 5-1
b = 4
Putting the value of b and m1 in standard form
..
Answer:
3125 bacteria
Step-by-step explanation:
Let r(0) be the initial amount of bacteria. Every hour, r(n) decreases by half. So, after one our new value for r(n) = (1/2)r(0). After two hours, r(n') = (1/2)r(n) = (1/2)(1/2)r(0) = (1/2)²r(0).
After n hours, r(n) = (1/2)ⁿr(0)
So when n = 4 hours and r(0) = 50,000, then
r(4) = (1/2)⁴r(0)
r(4) = (1/2)⁴ × 50,000
r(4) = (1/16) × 50,000
r(4) = 3125
So, after 4 hours, we have 3125 bacteria present.