:
which represents the explicit formula for the arithmetic sequence an=15+5(n−1) in function form?

a
f(n)=5n+15
b
f(n)=n+20
c
f(n)=5n+10
d
f(n)=n+10

For this case we have the following arithmetic sequence:

To write in function form, we apply distributive property to the terms within parentheses:

Different signs are subtracted and the major sign is placed.

We simplify:

Option C

c. side angle side. u shares the same sides

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).