Answer:
.
(Expand to obtain an equivalent expression for the sphere:
)
Step-by-step explanation:
Apply the Pythagorean Theorem to find the distance between these two endpoints:
.
Since the two endpoints form a diameter of the sphere, the distance between them would be equal to the diameter of the sphere. The radius of a sphere is one-half of its diameter. In this case, that would be equal to:
.
In a sphere, the midpoint of every diameter would be the center of the sphere. Each component of the midpoint of a segment (such as the diameter in this question) is equal to the arithmetic mean of that component of the two endpoints. In other words, the midpoint of a segment between
and
would be:
.
In this case, the midpoint of the diameter, which is the same as the center of the sphere, would be at:
.
The equation for a sphere of radius
and center
would be:
.
In this case, the equation would be:
.
Simplify to obtain:
.
Expand the squares and simplify to obtain:
.
slope intercept form = y=mx +b
where m would be the slope and b is the y intercept
equations would be:
cool cars: y = 179x +1999
awesome autos: y = 249x
Answer: Mary makes $1160, Steven makes $142.50
Step-by-step explanation:
Facts
MARY
8% commision on everything she sells
She sells a car for $14,500
The first question about Mary asks how much commision she makes. To find that, lets find 8% of 14,500
8% of 14,500= 0.08x14,500= 1160
Therefore, Mary makes $1,160 in commision.
STEVEN
Facts
He makes 15% in commision for the supplies he sells
He sells $950 in supplies
Money made =?
15% of 950=0.15x950=$142.50
Answer:
See explanation below.
Step-by-step explanation:
The equation is:
y = 7x + 6
This is the equation of a line in slope intercept form. The general form, where m is the slope and b is the y intercept is:
y = mx + b
In this case, with the equation:
y = 7x + 6
m is 7 and the y intercept is 6.
The y intercept means the point when x = 0:
(0, 6) is the y intercept point on the graph.
Hope this Helps! Have an Awesome Day!! (-:
V(cylinder)= πr²h
d=2r,
d is diameter, r is radius.
When diameter is tripled, a new diameter D=3d,
new radius R=3d/2=(3*2r)/2=3r
R=3r
V(new cylinder)= πR²h = π(3r)²h=9πr²h
V(new cylinder)/V(cylinder)=9πr²h/πr²h=9
Volume new cylinder 9 times more the volume of old cylinder.