Answer:D or C
Step-by-step explanation:
Answer:
See explanation and hopefully it answers your question.
Basically because the expression has a hole at x=3.
Step-by-step explanation:
Let h(x)=( x^2-k ) / ( hx-15 )
This function, h, has a hole in the curve at hx-15=0 if it also makes the numerator 0 for the same x value.
Solving for x in that equation:
Adding 15 on both sides:
hx=15
Dividing both sides by h:
x=15/h
For it be a hole, you also must have the numerator is zero at x=15/h.
x^2-k=0 at x=15/h gives:
(15/h)^2-k=0
225/h^2-k=0
k=225/h^2
So if we wanted to evaluate the following limit:
Lim x->15/h ( x^2-k ) / ( hx-15 )
Or
Lim x->15/h ( x^2-(225/h^2) ) / ( hx-15 ) you couldn't use direct substitution because of the hole at x=15/h.
We were ask to evaluate
Lim x->3 ( x^2-k ) / ( hx-15 )
Comparing the two limits h=5 and k=225/h^2=225/25=9.
Let's solve this thru elimination. Starting with x + y = 1, subtract x from both sides, obtaining y = 1 - x. This yields 2x - 3(1 - x) = - 30.
Performing the multiplication, we get 2x - 3 + 3x = -30.
Combining like terms: 5x = -27, or x = -27/5.
We already know that y = 1 - x. Thus, y = 1 - (-27/5), or y = 32/5.
The solution set is (-27/5, 32/5).
Answer:
95°
Step-by-step explanation:
95°
They are vertical angles.