Answer:
k=20
Step-by-step explanation:
when x approaches 4, the denominator x-4 approaches 0
if the denominator is 0, it means that this is invalid
if the function is a number over 0 when x=4, it represents a vertical asymptote, which means no limit
so the only way possible to let there be a limit is to let the function be 0/0 when we plug in x=4
so x^2 + x - k = 0 when x = 4
4^2 + 4 - k = 0 ==> 20 - k = 0 ==> k = 20
Answer: Third Choice. x= 6 1/3
Step-by-step explanation:
Given
f(x) = 9x² - 54x - 19
Completing the square
3x -19
3x 1
Substitute back to the function
f(x) = (3x-19) (3x+1)
Simplify
x= 6 1/3 or -1/3
Hope this helps!! :)
Please let me know if you have any questions
Answer:
For right angle triangle,
we use Pythagoras theorem that is:
c = 
For question 1:
c = ?
a = 40
b = 9
putting them in formula,
c = 
c = 41
For question 2:
c = ?
a = 12
b = 13
putting them in formula,
c = 
c = approximately 17.69181
For question 3:
c = 35
a = 20
b = ?
putting them in formula,
1225 = 400 + 
= 1225 - 400
= 825
b = 5 
For question 4:
c = 37
a = 20
b = ?
putting them in formula,
1369 = 400 +
= 1369 - 400
= 969
Taking square root on both sides
b = 31.12
Hope it helps.
Answer:
3
Step-by-step explanation:
you have to solve for x then you can find the coeeffiecnt
Answer:
-1/60
Step-by-step explanation:
= 
= 
(find LCM of demoninators)
= 
= 
= -1/60
