You can calculate the distance between two point using this fomula:
√(x_2-x_1)^2+(y_2-y_1)^2
If you insert you values you get:
√(4-5)^2+(-7-2)^2 = 9.06 = 9.1
Answer:
781250
Step-by-step explanation:
Let y is the length of the farm field
Let x is the width of the farm field
Given that, no fencing is necessary along the rock wall, so we can find the perimeter of the farm is:
2x + y = 2500 feet
<=> y = 2500 -2x
The are of the farm has the following formula:
A = x*y
<=> A = x(2500 - 2x)
<=> A = 2500x -2
To have the maximum area of field in square feet, we need to use differentials to estimate:
= 2500 - 4x
Set
= 0, we have:
2500 - 4x = 0
<=> x = 625 feet.
=> y = 2500 - 2*625 = 1250 feet
So the maximum area of field is:
A = x*y = 625*1250 = 781250
Answer:
225 adult tickets
Step-by-step explanation:
S: no. of students
A: no. of adults
S = A + 54
S + A = 504
A + A + 54 = 504
2A = 450
A = 225
S = 225 + 54
S = 279
Answer:

Step-by-step explanation:
We have been given that n=-2 verified as a solution to the equation
.
As n=-2 is the solution for our given equation, so it will satisfy our equation.
Let us substitute n=-2 is our given equation.



Since the value of n satisfies our equation, therefore, last line of the justification will be
.