Answer:
a) 32
b) 
Step-by-step Explanation:
Initial pattern has 7 sticks.
Second one has 7+5 sticks.
Third has 7+5+5 sticks.
.
.
.
Sixth has 7+5+5+5+5+5=32 sticks.
$n^{th}$ has $7+ 5(n-1)$ sticks.
<h3>
Short Answer: Yes, the horizontal shift is represented by the vertical asymptote</h3>
A bit of further explanation:
The parent function is y = 1/x which is a hyperbola that has a vertical asymptote overlapping the y axis perfectly. Its vertical asymptote is x = 0 as we cannot divide by zero. If x = 0 then 1/0 is undefined.
Shifting the function h units to the right (h is some positive number), then we end up with 1/(x-h) and we see that x = h leads to the denominator being zero. So the vertical asymptote is x = h
For example, if we shifted the parent function 2 units to the right then we have 1/x turn into 1/(x-2). The vertical asymptote goes from x = 0 to x = 2. This shows how the vertical asymptote is very closely related to the horizontal shifting.
Step-by-step explanation:
take into 2 sections
-5<a-4 and a-4<2
-1<a and a<6
therefore it should be the 2nd one
Answer:
950 miles
the problem states that Mr. Lopez drove 77 more miles so just add 873+77 to get 950 miles
Answer:
80 degrees
Step-by-step explanation:
100 + angle A = 180
180-100= 80
So, the measure of angle A is 80 degrees
