Answer:
B(-2,-6)
Step-by-step explanation:
The midpoint of AB is M, then A(8,4), M(3,-1)
So we can find:
then B(-2,-6), hope that useful.
Answer:
-8
Step-by-step explanation:
For roots r and s, the quadratic can be factored ...
f(x) = (x -r)(x -s) = x^2 -(r+s)x +rs
Then the value of r^2+s^2 can be determined from the coefficient of x (-(r+s)) and the constant (rs) by ...
r^2 +s^2 = (-(r+s))^2 -2(rs) = (r^2 +2rs +s^2) -2rs = r^2 +s^2
Comparing this to your given equation, we have the coefficient of x as (-2m) and the constant term as (m^2+2m+3). Forming the expression ...
(x-coefficient)^2 -2(constant term)
we get ...
r^2 +s^2 = (-2m)^2 -2(m^2 +2m +3) = 2m^2 -4m -6
r^2 +s^2 = 2(m -1)^2 -8
The minimum value of this quadratic expression is where m=1 and the squared term is zero. That minimum value is -8.
Answer:
38 yards²
Step-by-step explanation:
Area of trapeziods= ½(a+b)×height
a and b are the parallel lengths of the trapezoid.
Area of trapeziod= ½ (5.6+13.4)×4= 38 yards²
Therefore, the correct option is B
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Answer:
The weight that separate the top 8% by 5.2605 and the weight that separate bottom 8% by 5.1195.
Step-by-step explanation:
We are given that
Mean,
Standard deviation,
We have to find the two weights that separate the top 8% and the bottom 8%.
Let x1 and x2 the two weights that separate the top 8% and the bottom 8%.
Z-value for p-value =0.08 =
For 8% bottom
For 8% top
p-Value=1-0.08=0.92
Z- value=1.41
Now,
(x1,x2)=(5.1195,5.2605)
Answer:9
Step-by-step explanation:
45/5 =9
s=d/t