I'm assuming the limit is supposed to be
Multiply the numerator by its conjugate, and do the same with the denominator:
so that in the limit, we have
Factorize the first term in the denominator as
The 
terms cancel, leaving you with
and the limand is continuous at 
, so we can substitute it to find the limit has a value of -1/18.
Answer:
B)making sure she has a positive credit history
Step-by-step explanation:
Yoko is buying a car from a local car dealership. She wants to get the lowest interest rate possible.
B) making sure she has a positive credit history - will most likely help her get the lowest interest rate.
Getting low interest rates does not depend on the way you talk or if you have a driver licence.
It depends on your previous credit history and credit scores. When you have good scores, this means you have always paid your debts on time and this makes sure that you will do the same in future.
So, you get low interest rates based on good credit history.
Answer:
You add the numerators so 5 + 5 is 10. So its 10/9. We only added the numerators because the denominators were the same. So then 10/9 simplified by minusing 9 from ten because ten is the denominator the answer is:
1 1/9
Step-by-step explanation:
The distance between the two planes will be 800 miles.
It should be noted that the total speed of the two planes will be the sum of their individual speeds. Also, the planes have 1 hour to meet each other.
From the information given, the distance between the planes is 200 miles after they flew for 45 minutes. Therefore, the remaining distance will be:
= 1 hour - 45 minutes = 15 minutes.
The distance between the planes will then be:
= 200/15 × 60
= 200 × 4
= 800 miles
Therefore, the distance between the two planes will be 800 miles.
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Answer:
52degrees
Step-by-step explanation:
Let the measure of the largest angle be x
middle angle be y
smallest angle be z
Since the sum of angle in a triangle is 180 degrees, hence;
x + y + z = 180 .... 1
If the measure of the largest angle is 32 less than 3 times the smallest angle, then;
x = 3z - 32
3z = x+ 32
z = x+32/3 ..... 2
If he measure of the middle angle is 8 more than half the measure of the largest angle, then;
y = x/2 + 8 .... 3
Substitute 2 and 3 into 1;
x + x/2 + 8 + (x+32)/3 = 180
multiply through by 6
6x + 3x + 48 + 2(x+32) = 1080
9x + 48 + 2x + 64 = 1080
11x + 112 = 1080
11x = 1080-112
11x = 968
x = 968/11
x = 88 degrees
Get the middle angle y;
Since y = x/2 + 8
y = 88/2 + 8
y = 44 + 8
y = 52 degrees
Hence the measure of the middle angle is 52degrees
