If the probability of the event A is P(A) and the probability of the event B is P(B), then the probability P(A and B) is P(A)*P(B).
Since both P(A) and P(B) are equal to 1/2, then:
Sherane rolls a standard, six-sided number cube.
1 answer:
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Answer:
<h2>B) x² - 4</h2>Step-by-step explanation:
f(x) + n - shift the graph n units up
f(x) - n - shift the graph n units down
f(x + n) - shift the graph n units to the left
f(x - n) - shift the graph n units to the right
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The vertex of the function f(x) = x² is in the origin.
We have the vertex (0, -4). Therefore, the graph has been moved by 4 units down.
f(x) - 4 = x² - 4
Given:
.
To find:
The value of r.
Solution:
We have,
.
We know that the radius is perpendicular to the tangent at the point of tangency
AD is the tangent and CD is the radius. So, CD is perpendicular to AD at point D, i.e., .
Using Pythagoras theorem, we get
On further simplification, we get
Therefore, the value of r is 9.