Answer:
h = P - r
Step-by-step explanation:
Given
P = h + r ( isolate h by subtracting r from both sides )
P - r = h
Answer:
According to steps 2 and 4. The second-order polynomial must be added by
and
to create a perfect square trinomial.
Step-by-step explanation:
Let consider a second-order polynomial of the form
,
. The procedure is presented below:
1)
(Given)
2)
(Compatibility with addition/Existence of additive inverse/Modulative property)
3)
(Compatibility with multiplication)
4)
(Compatibility with addition/Existence of additive inverse/Modulative property)
5)
(Perfect square trinomial)
According to steps 2 and 4. The second-order polynomial must be added by
and
to create a perfect square trinomial.
Answer:
y = 2x + 11
Step-by-step explanation:
The first thing we need to do
is to find the slope of the line that passes through the points (-4,-3) and (4,1)
Mathematically, that would be;
m = y2-y1/(x2-x1)
where (x1,y1) = (-4,-3) and (x2,y2) = (4,1)
substituting these. values we have;
m = (1-(-3))/(4-(-4)) = 4/8 = 1/2 or 0.5
Now we are told this line is perpendicular to another line that passes through another point.
We can find the slope of this other line
Since both lines are perpendicular, the product of their slope is -1.
Thus , -0.5 * m = -1
m = -1/-0.5 = 2
So the slope of the other line is 2
Using the point-slope form;
y-y1= m(x-x1)
The point for the other line is (-4,3)
So the equation will be
y-3 = 2(x+4)
y-3 = 2x + 8
y = 2x + 11
Answer:
See below
Step-by-step explanation:
Alex finally understands how Bob was trying to trick him into winning the bet because of how he puts in the condition for probability being less than 10%. Whichever way the outcome of the coin toss turns out to be, it will be in Bob's favor and Alex will lose the bet. If the coin is flipped 3 times, the probability of having heads exactly twice is 
2/5=6/15
1/3=5/15
11/15
yes. that would be the last one possible.