Answer:
85,999,999.999 999 909
Step-by-step explanation:
The expression represents the difference of a relatively large number and one that is relatively small. That difference is approximately the value of the large number. The exact value requires 17 digits for its proper expression. Most calculators and spreadsheets cannot display this many digits.
<h3>Standard form</h3>
The numbers in standard form are ...
86,000,000 = 8.6×10^7
0.000000091 = 9.1×10^-8
<h3>Difference</h3>
Their difference is ...
86,000,000 -0.000000091 = 85,999,999.999 999 909
In scientific notation, this is ...
8.599 999 999 999 990 9×10^7
No they are not equivalent and if you are trying to get a mixed number try dividing
Answer:
x ∈ (-∞ , -2) ∪ (1, 3)
Step-by-step explanation:
The expression is already factored. Note that for the polynomial that appears in the numerator
there are 2 roots:

For the polynomial that appears in the denominator there is 1 root:

Note that
does not belong to the domain of f(x) because it zeroes the denominator of the function and the division between zero is not defined.
With these three roots we do the study of signs to find out when
Observe the attached image
Note that:
when
when 
when 
Finally, we have the solution:
x ∈ (-∞ , -2) ∪ (1, 3)
Answer:
Step-by-step explanation:
<em>The complete question is </em>
What is the length of line segment RS? Use the law of sines to find the answer. Round to the nearest tenth.
see the attached figure to better understand the problem
step 1
Find the measure of angle S
Applying the law of sines

substitute the given values

Solve for sin(S)

![S=sin^{-1}[sin(80^o)}{3.1}(2.4)]](https://tex.z-dn.net/?f=S%3Dsin%5E%7B-1%7D%5Bsin%2880%5Eo%29%7D%7B3.1%7D%282.4%29%5D)

step 2
Find the measure of angle Q
Remember that the sum of the interior angles in any triangle mut b equal to 180 degrees
so

substitute the given values
step 3
Find the length of segment RS
Applying the law of sines
substitute the given values
Answer:
Greater than 90 miles
Step-by-step explanation:
Use the triangle inequality theorem, since the cities form a triangle.
This theorem states that the sum of any 2 sides of a triangle has to be greater than the length of the third side.
We can find what the length of the third side has to be greater than by subtracting 97 from 187:
187 - 97
= 90
So, the distance has to be greater than 90 miles.