Angle b will be 34 degrees because angle b and the other angle that is 34 degrees are vertical angles!
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:
explanation
Step-by-step explanation:
there
are
22
squares
all
together
We evaluate b^2 - 4ac. If the answer is positive, then there are two real solutions. If it is zero, there is one real solution. If it is negative, there are 2 complex solutions. In this equation, a = 1, b = 5, c = 7. Now we plug in the numbers.

Because this answer is positive, there are two real solutions.
Use the point-slope formula
y-y1=m(x-x1)
y-1=-3(x-1)
y-1=-3x+3
y=-3x+4