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.
Answer:
Surface area of square pyramid =
Step-by-step explanation:
Let, b is the length of the base and s is the slant height
According to given condition:
b = 8 cm
s = 6 cm
Find out:
Surface area of square pyramid = ?
Formula:
Surface area of square pyramid = ![b^{2} + 2bs](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%2B%202bs)
Solution:
Surface area of square pyramid = ![b^{2} + 2bs](https://tex.z-dn.net/?f=b%5E%7B2%7D%20%2B%202bs)
Surface area of square pyramid = ![8^{2} + 2(8)(6)](https://tex.z-dn.net/?f=8%5E%7B2%7D%20%2B%202%288%29%286%29)
Surface area of square pyramid =
Surface area of square pyramid =
Answer:
a = -15
Step-by-step explanation:
multiply both sides by 3, then you get a = -15
Because 10/60 is 10÷60 but we want 60<span>÷10 </span>