PLEASE HELP ME!!! Which of the following is the solution to the equation 4/5 n = 20? Question options: 1) n = 4 2) n = 12 3) n =
2 answers:
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Answer:
Step-by-step explanation:
We can use the Polynomial Remainder Theorem. It states that if we divide a polynomial P(x) by a <em>binomial</em> in the form (x - a), then our remainder will be P(a).
We are dividing:
So, a polynomial by a binomial factor.
Our factor is (x + k) or (x - (-k)). Using the form (x - a), our a = -k.
We want our remainder to be 3. So, P(a)=P(-k)=3.
Therefore:
Simplify:
Solve for <em>k</em>. Subtract 3 from both sides:
Factor:
Zero Product Property:
Solve:
So, either of the two expressions:
Will yield 3 as the remainder.
Answer:
The length of the line segment is of 5.9 units.
Step-by-step explanation:
Distance between two points:
Suppose that we have two points, and
. The distance between these two points is given by:
How long is the line segment?
The distance between points P and Q. So
P(1,3), and Q(4,8).
The length of the line segment is of 5.9 units.