We can use t=x^2 to solve this
Once we do that we will have simple square equation which we know how to solve.
t^2 + 3t + 2 = 0
t1 = -1
t2 = -2
x1 = √-1 = i
x2 = -i
x3 = √-2 = i√2
x4 = -i√2
Make sure you know that i^2 = -1 and (-i)^2 = -1 which gives us solutions we got...
Well, you have to multiply the 6 by 4 and the 9.75 by 4 because there are going to be 24 people. 6 • 4 is 24 and 9.75 • 4 = 39!
Desk is $600
chair is $120
cost of chair x 5 = cost of desk
600 + 120 = 720
Answer:
The closest straight-line distance from Caleb's school to the library is:
Step-by-step explanation:
Imagine a triangle, where five blocks are a side and two blocks another side, to obtain the closest straight-line distance from Caleb's school to the library you can use the Pythagoras theorem, where the hypotenuse is the closest straight-line:
Clearing the hypotenuse is:
Now, you only need to identify the distance in each case:
Five blocks = 275 feet * 5 = 1375 feet.
Two blocks = 275 feet * 2 = 550 feet.
At last, you must replace the distances found in the equation cleared:
- <u>Hypotenuse or closest straight-line = 1480.92 feet</u>.
Identifying this, the closest straight-line distance from Caleb's school to the library is <u>1480.92 feet</u>.
Notice that
is traversed clockwise. Green's theorem applies to curves with a counterclockwise orientation, so we'll have to multiply the area integral by -1.
By Green's theorem, with the vector field
,

where
is the region with boundary
. The partial derivatives are


so that the double integral is
