Answer:
Step-by-step explanation:
To find an equation of the sphere with center (4, −12, 8) and radius 10
intersection with xy-plane
Put z=0
(A circle with centre at (4,-12) and radius 6)
intersection with xz-plane
Put y =0
Sum of squares cannot be positive, so DNE
intersection with yz-plane
Put x=0
A circle in YZ plane with centre at y =-12 and z =8 and radius square root of 84
Answer:
3 + 7x = 7x + 3
Step-by-step explanation:
Simplifying
7x + 3 = 7x + 3
Answer:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
3.2 hours
Step-by-step explanation:
Total amount charged by Happy Paws = 22 + 4.50h
Total amount charged by Woof Watchers = 11 + 5.75h
22 + 4.50h = 11 + 5.75h
Collect like terms
22 + 11 = 4.5h + 5.75h
33 = 10.25h
Solve for h
33/10.25 = h
h = 3.22
Hello,
A=(-4,2)
B=(3,-5)
AB≡y-2=(x+4)(-7)/7==>y=-x-2
Slope of the perpendicular: 1
y-2=(x-1)1==>y=x+1 is the equation of the perpendicular.
Intersection: y=x+1 and y=-x-2 ==>(-3/2,-1/2)=Q
|PQ|²=(-1/2-2)²+(1+3/2)²=25/2
|PQ|=5√2/2≈3.5355339059....
