Answer:
Step-by-step explanation:
According to the <em>Point-Slope Formula</em>,<em> </em><em>y - y₁ = m(x - x₁)</em>,<em> </em>all the negative symbols give the OPPOSITE TERMS OF WHAT THEY REALLY ARE, so be EXTREMELY CAREFUL inserting the coordinates into the formula with their CORRECT SIGNS.
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Answer:
One solution, being x = -3
Step-by-step explanation:
Answer:
(4225/4)pi units^2
Step-by-step explanation:
So we need to know the area of a circle formula to find the answer to this question
the formula is A = r^2(pi)
So we have the diameter but we need the radius. The radius is half the diameter so r = 65/2
Now we can plug the radius into the area formula
(65/2)^2*pi =
(4225/4)pi units^2
Answer:
f(n)=-5-3n
Step-by-step explanation:
Given the recursive formula of a sequence
f(1)=−8
f(n)=f(n−1)−3
We are to determine an explicit formula for the sequence.
f(2)=f(2-1)-3
=f(1)-3
=-8-3
f(2)=-11
f(3)=f(3-1)-3
=f(2)-3
=-11-3
f(3)=-14
We write the first few terms of the sequence.
-8, -11, -14, ...
This is an arithmetic sequence where the:
First term, a= -8
Common difference, d=-11-(-8)=-11+8
d=-3
The nth term of an arithmetic sequence is determined using the formula:
T(n)=a+(n-1)d
Substituting the derived values, we have:
T(n)=-8-3(n-1)
=-8-3n+3
T(n)=-5-3n
Therefore, the explicit formula for f(n) can be written as:
f(n)=-5-3n
Answer:
1/9
Step-by-step explanation:
There are a total of 21 marbles. In the first draw, there are 7 blue marbles out of 21. In the second draw, since he replaces the marble, there are still 7 blue marbles out of 21. So the probability is:
P = (7/21)²
P = 1/9