Answer:
The original coordinate of
R is (-5, -5)
The new coordinate of
R is (-11, -11)
The translation rule is ( x - 6, y - 6)
The original coordinate of
U is (-5, 1)
The new coordinate of
U is (-5 - 6, 1 - 6)
which is
(-11, -5)
U' = (-11, -5)
Answer:
Part 1) The solution is the point (-2,0)
Part 2) The solutions are the points (-2,0) and (0,2)
Step-by-step explanation:
Part 1
we have
-----> equation A
---->
---> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The solution is the point (-2,0)
see the attached figure N 1
Part 2
we have
-----> equation A
----> equation B
Solve the system by graphing
Remember that the solution of the system are the intersection points both graphs
using a graphing tool
The solutions are the points (-2,0) and (0,2)
see the attached figure N 2
Answer:
The volume of the cylinder is
cubic feet.
Step-by-step explanation:
From Geometry we remember that volumes of a cone and a cylinder with the same radius (
), measured in feet, and height (
), measured in feet, are defined by the following equations:
Cone
(1)
Cylinder
(2)
The ratio of the volume of the cylinder to the volume of the cone is:
(3)
If we know that
, then the volume of the cylinder is:

The volume of the cylinder is
cubic feet.
They compare because there’s different problems to questions and different functions and some functions can match... your welcome:)
Height of the woman = 5 ft
Rate at which the woman is walking = 7.5 ft/sec
Let us assume the length of the shadow = s
Le us assume the <span>distance of the woman's feet from the base of the streetlight = x
</span>Then
s/5 = (s + x)/12
12s = 5s + 5x
7s = 5x
s = (5/7)x
Now let us differentiate with respect to t
ds/dt = (5/7)(dx/dt)
We already know that dx/dt = 7/2 ft/sec
Then
ds/dt = (5/7) * (7/2)
= (5/2)
= 2.5 ft/sec
From the above deduction, it can be easily concluded that the rate at which the tip of her shadow is moving is 2.5 ft/sec.