4/12 / 1/12 & 4/12 / 48/12 are how you make them equal, although i'm not sure about the rest
Answer:
The limit of the function at x approaches to 
is 
.
Step-by-step explanation:
Consider the information:
If we try to find the value at we will obtained a 
form. this means that L'Hôpital's rule applies.
To apply the rule, take the derivative of the numerator:
Now, take the derivative of the denominator:
Therefore,
Since, tangent function approaches -∞ as x approaches to
, therefore, the original expression does the same thing.
Hence, the limit of the function at x approaches to is .
Answer:
<em>Length of arc: 6π</em>
Step-by-step explanation:
<em>~ Let us answer this question in terms of π, remaining so ~</em>
1. Assume that this is a complete circle, for the moment being. The chord with length of 12 units would act as the diameter, and using that information we could determine the circumference of this complete circle...which will help us in the future. Apply the formula π * d as such: π * 12 ⇒ 12π to get the circumference as 12π.
2. Knowing that the length of the complete circle's circumference is 12π, this arc is part of a semicircle, meaning that it's value would be half of that of the complete circle's circumference, or in other words: 12π/2 ⇒ <em>Answer ~ Length of arc: 6π</em>
12x^3 +2x^2-30x = 8
2x( 6x^2 +x -15) = 8
so 2x= 8, x=4
(2x) ( 2x-3) ( 3x+5) = 8
2x-3 = 8
2x= 11
x= 5.5
3x+5=8
3x= 3
x=1
Answer:
x = 7
Step-by-step explanation:
The 2 marked angles are Alternate exterior angles ( they are outside the parallel lines ) and are congruent, that is
10x = 9x + 7 ( subtract 9x from both sides )
x = 7
