Answer:
P(n,4)÷P(n,2)
= (n-2)(n-3)
20 = 4 × 5 (two consecutive numbers)
(n-2)(n-3)=5×4
n-2=5
n=7
Answer:
Step-by-step explanation:
Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"
For this case the generla equation for the circle is given by:
From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:
If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for
So then
And if we replace the second point we got this:
And for the third point we have:
And we got the same result.
So then our final equation is given:
Answer:
In the Explanation
Step-by-step explanation:
(a)From the attached probability tree, the possible outcomes are:
RR,RP,RG,RB,PR,PP,PG,PB,GR,GP,GB,GG,BR,BP,BG,BB
(b)Probability Distribution of Drawing Pink Marbles
Answer:
Step-by-step explanation:
a) The domain is R- all real numbers.
b) The domain is R- all real numbers.
c) we need
So the domain is R\{-2, 2}
d)
we need
So the domain is R\{-2, 1}
e)
we need: x-1>0 or x> 1
So the domain is (1,+∞)
Hi there, 3+-10=-7 so, -7+5x=13. First, we add -7 to both sides, which gives us 5x=13+7, 13+7=20, so 5x=20. Now, we divide both sides by 5, Therefore, x=4