Diagonal = SQRT(8^2 + 12^2 + 30^2)
Diagonal = SQRT(64 + 144 + 900)
Diagonal = SQRT(1108)
Diagonal = 33.3 feet
Example:

This suggests two solutions,

and

.
However, upon plugging these solutions back into the equation, you get

which checks out, but

does not because

is defined only for

(assuming you're looking for real solutions only). So, we call

an extraneous solution, and the complete solution set (over the real numbers) is

.
They need to babysit for 10 hours to have same money each day.
Step-by-step explanation:
On Thursday;
Charges = $3 per hour
Initial fee = $40
let x be the number of hours.
T(x) = 3x+40
On Friday;
Charges = $4 per hour
Initial fee = $30
F(x)= 4x+30
The cost will be same when;
T(x) = F(x)

They need to babysit for 10 hours to have same money each day.
Keywords: functions, addition
Learn more about functions at:
#LearnwithBrainly
Answer:
8 family members. Average of 2.6 fish per person.
Step-by-step explanation:
How many family members caught fish? Count only those members who caught at least 1 fish (that's all of them, because nobody caught 0 fish!).
3 + 1 + 0 + 4 = 8 family members.
Average number of fish caught <u>per person</u>. This is the total number of fish caught divided by the total number of people.
This is a little bit tricky because, for example, 4 people caught 4 fish, making 4 x 4 = 16 fish caught.
Multiply number of fish (column 1) by the number of people (column 2):
1 x 3 + 2 x 1 + 3 x 0 + 4 x 4 = 3 + 2 + 0 + 16 = 21 fish caught.
21 fish. 8 people. On average, that is 21 / 8 = 2.625 which rounds to 2.6 fish per person.
Hint: the word "per" means <u>divide</u>, so "fish per person" tells you to divide the total number of fish by the total number of people.
Good Luck!