use midpoint equation
radius = distance between midpoint and one of the endpoints.
midpoint: (3+5)/2, (2+6)/2, (5+7)/2 = (4,4,6)
equation of sphere: (x-4)^2 + (y-4)^2 + (z-6)^2 = r^2
square distance between midpoint and one of the endpoints.
r^2 = 6
Equation: (x-4)^2 + (y-4)^2 + (z-6)^2 = 6
The area of the garden needs to be greater than 400 square feet but less than 600 square feet
Answer: -10, 10
Step-by-step explanation:
first lets add the two equations. add the x's, add the y's, add the constants on the right.
we get
0x - 1y = -10
so then divide --10 by -1 because we do the opposite operations to both sides
and we get y = 10
now substitute y = 10 into the first equation
-10x - 9(10) = 10
and then we get -10x - 90 = 10
now add 90 to both sides
-10x = 100
divide 100 by -10
x = -10
y = 10
checks out
EPIC. STAY EPIC AND AWESOME FRIEND.
Answer:
f(- 2) = - 2
Step-by-step explanation:
To evaluate f(- 2) substitute x = - 2 into f(x)
f(- 2) = 3(- 2) + 4 = - 6 + 4 = - 2
