Answer:
24 ways
Step-by-step explanation:
Given that
Number of students = 4
Lecturer have to stand in the middle position.
We have five places in which middle place is for lecturer,now we have four places and we have to arrange four students on that four places.So there will 4! ways to arrange those students.
4!= 4 x 3 x 2 x 1
4! =24
So we have 24 ways to arrange 4 students and one lecturer .
Answer:
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Say our problem was the square root of 4. You would look for what two numbers multiplied by themselves would equal that number. We know 2 multipled by 2 is equal to 4. (Aka 2^2).
Hope this helps.
Answer:
f'(x) = -1/(1 - Cos(x))
Step-by-step explanation:
The quotient rule for derivation is:
For f(x) = h(x)/k(x)
In this case, the function is:
f(x) = Sin(x)/(1 + Cos(x))
Then we have:
h(x) = Sin(x)
h'(x) = Cos(x)
And for the denominator:
k(x) = 1 - Cos(x)
k'(x) = -( -Sin(x)) = Sin(x)
Replacing these in the rule, we get:
Now we can simplify that:
And we know that:
cos^2(x) + sin^2(x) = 1
then:
Answer:
(7, -27)
Step-by-step explanation:
Use the midpoint formula.
M = ( x₂ + x₁ , y₂ + y₁) / 2
(5, -11) = (x₂ + 3 , y₂ + 5) / 2 Substitute the midpoint and point U.
(10 , -22) = (x₂ + 3 , y₂ + 5) Multiply by 2 on both sides
x₂ + 3 = 10 y₂ + 5 = -22 Split for each point and solve.
x₂ = 10 - 3 y₂ = -22 - 5
x₂ = 7 y₂ = -27
Point V is (7, -27).