Yo sup??
For our convenience let h=x+1
therefore
when x tends to -1, h tends to 0
hence we can rewrite it as
This inequality is of the form 1∞
We will now apply the formula
plugging in the values of g(x) and f(x)
express coth² as cosh²/sinh² and also write cosh-1 as 2sin²(h/2)
(by applying the property that cos2x=1-sin²x)
After this multiply the numerator and denominator with h² so that we can apply the property that
Now your equation will look like this.
We will now apply the result
where x=h²
we get
we now multiply the numerator and denominator with 4 so that we can say
Apply the limits and you will get
Hope this helps.
Step-by-step explanation:
Adjacent angles are two angles that have a common vertex and common side but do not overlap. They share the same vertex and same common side.
Vertical angles are opposite angles made by two intersecting lines.
Hope this helps!
A) I would make the positive integer x and then form an equation.
x + 30 = x^2 - 12
x + 42 = x^2
0 = x^2 - x - 42 this can be factorised
(x - 7) ( x + 6) Therefore x = 7 or x = -6
Since the question asks for a positive integer the answer is 7.
B) two positive numbers x and y.
X - y = 3
x^2 + y^2 = 117
Use these simultaneous equations to figure out each number.
Rearrange the first equation
x = y + 3
Then substitute it into the second equation.
(y+3)^2 + y^2 = 117
y^2 + 6y + 9 + y^2 = 117
2y^2 + 6y - 108 = 0
then factorise this.
(2y - 12) (y + 9)
This means that y = 6 or y = -9 but it’s 6 because that’s the only positive number.
Use y to find x
x = y + 3
x = 6 + 3
x = 9
So the answers are x = 9 and y = 6.
The answer to your question is V = 126m
Answer:
2b < 56
n = b - 2
b = n + 2
n < 27
b < 28
No, because the difference between Brittany and Nate's age is 2years
Step-by-step explanation:
A.)
Twice Brittany’s age is less than the age of Abraham Lincoln when he died. President Lincoln was 56 years old at the time of his death
Let Brittany's age = b
Twice Brittany's age = 2 × b = 2b
Lincoln's age = 56
2b < 56
B.)
Nate's age = n
Nate is 2 years younger than brittany who is aged 'b'
n = b - 2
C.) b = n + 2
D.)
If 2b < 56 and b = n + 2
2(n + 2) < 56
2n + 2 < 56
2n < 56 - 2
2n < 54 ; n < 27
2b < 56
b < 56/2
b < 28
No, because the difference between Brittany and Nate's age is 2years
