<u>Answer-</u>
<em>The length of BC is </em><em>8 units.</em>
<u>Solution-</u>
Mid-Point Theorem-
The line segment connecting the midpoints of two sides of a triangle is parallel to the third side and is congruent to one half of the third side.
As given,
AD = DB, so D is the mid point of AB
FA = FC, so F is the mid point of AC
Hence, DF is the line segment connecting the midpoints of two sides of a triangle.
Applying the theorem,
BC = 2DF = 2×4 = 8 units
The first step is to determine the zeros of p(x).
From the Remainder Theorem,
p(a) = 0 => (x-a) is a factor of p(x), and x=a is a zero of p(x).
Try x=3:
p(3) = 3^3 - 3*3^2 - 16*3 + 48 = 27 - 27 - 48 + 48 = 0
Therefore x=3 is a zero, and (x-3) is a factor of p(x).
Perform long division.
x² - 16
-------------------------------------
x-3 | x³ - 3x² - 16x + 48
x³ - 3x²
-----------------------------------
- 16x + 48
- 16x + 48
Note that x² - 6 = (x+4)(x-4).
Therefore the complete factorization of p(x) is
p(x) = (x-3)(x+4)(x-4)
To determine when p(x) is negative, we shall test between the zeros of p(x)
x p(x) Sign
---- --------- ---------
-4 0
0 48 +
3 0
3.5 -1.875 -
4 0
p(x) is negative in the interval x = (3, 4).
Answer
The time interval is Jan. 1, 2014 to Jan. 1, 2015.
I hope this is right but:
Let n=number of full time employees
260<=20+n*40
260-20<=N*40
240<=n*40
n>=240/40
n>=6 full time employees
which means he would have to hire at least 6 or more fully time employees
Though I'm not sure if the attached file is the graph you are looking for
Answer:
The population proportion of households that own at least one snow blower is 0.104.
Step-by-step explanation:
In order to find the population proportion of households that own at least one snow blower, you have to divide the number of people that said they owned at least one snow blower by the number of households surveyed:
26/250=0.104
According to this, the answer is that a point estimate for p, the population proportion of households that own at least one snow blower is 0.104.
Answer:
44 ft
Step-by-step explanation:
Formula: L + L + W + W = P
16ft + 16ft + 6ft + 6ft = 44
