In the 
plane, we have 
everywhere. So in the equation of the sphere, we have
which is a circle centered at (2, -10, 0) of radius 4.
In the 
plane, we have 
, which gives
But any squared real quantity is positive, so there is no intersection between the sphere and this plane.
In the 
plane, 
, so
which is a circle centered at (0, -10, 3) of radius 
.
Answer:
15. (8x^3 + 27)(x + 1)
17. (x^2 + 3)(x + 2)
Step-by-step explanation:
8x^3(x + 1) + 27(x + 1)
x^2(x + 2) + 3(x + 2)
You need to include the question not just the explanation.
Answer:
4x+3y+3=0
Step-by-step explanation:
Equation of a line containing a point (x1,y1),
and a slope m is given by,
(y-y1)=m(x-x1)
Here, x1= -3 , y1= 3 , m= -4/3
Putting the values,
(y-3)=-4/3(x+3)
or,3(y-3)=-4(x+3)
or,3y-9=-4x-12
or,4x+3y+3=0 , is the required equation.
Answer: the expression for the combined total number of miles she biked in the two days is
117 - 5x miles
Step-by-step explanation:
Let x be the number of hours she biked yesterday.
In the two days, she biked for a combined total time of 9 hours. This means that the number of hours that she biked today is (9 - x) hours.
Distance = speed × time
Yesterday, Carmen went on a bike ride. Her average speed was 8 miles per hour. This means that the distance that she covered yesterday is 8x miles
Today, she went on another ride, this time averaging 13 miles per hour. This means that the distance that she covered today is 13(9 -x) miles.
An expression for the combined total number of miles she biked in the two days is
8x + 13(9 - x)
= 8x + 117 - 13x
= 117 - 5x
