Your english teacher has given you a list of 10 possible topics for essays. you need to pick four topics from the list to write about over the school year.

how many different groups of four essay topics can you choose

210

Step-by-step explanation:

Its Combination so

10C4

= 10! / 4! (10-4)!

(10-4) = 6!

= 10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 2 x 1 divided by

4 x 3 x 2 x 1   6 x 5 x 4 x 3 x 2 x 1

cross all the common factors

= 10 x 9 x 8 x 7 /  4 x 3 x 2 x 1  multiply those

5040 / 24 = 210 different groups of four essay topics that can be chosen.

HAVE A GREAT DAY!!!

see attached

step-by-step explanation:

given the function as;

write the equation replacing f(x) with y

form   and fill a table containing values of y with corresponding values of x

you can take a range for   values of x as -3≤x≤3

solving for x=-3

for x=-2

repeat the same procedure to get the values of y for the remaining ,x=-1 to x=3

plot the values of y against values   of x and obtain the following graph

180-142=38 for the acute angle next to the entry

90+38=128

180-128=52

a=52

step-by-step explanation: