ANSWER
See attachment.
EXPLANATION
The given function is
The parent function is
When we shift the parent graph to the left one unit, and down 2 units, we obtain the graph of the given function.
The graph of this function is shown in the attachment.
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Answer:
<u>Skills needed: Angle Geometry</u>
Step-by-step explanation:
1) First, let's see what we should know prior to solving.
---> We have to find the value of , and looking at that diagram, we have to create an equation.
---> The angle measure of a straight line is 180 degrees, otherwise known as a straight angle (a straight angle is 180 degrees).
---> When you add , you can set that sum equal to 180. This is because the two angles marked
added together make a straight line, which is a straight angle.
(Note: In geometry, ONE OF THE THINGS WE CAN ASSUME is that there is a straight line there.)
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2) Now, the equation would be:
--> Combining
and
(3+3 = 6)
--> Dividing by 6 on both sides, to get
by itself.
--->
is 30, so
is equal to 30.
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Answer: A. Factor 2 => 4x greater
Factor 3 => 9x greater
Factor 5 => 25x greater
Step-by-step explanation: A. A cylinder is formed by 2 circles and a rectangle in the middle. That's why surface area is given by circumference of a circle, which is the length of the rectangle times height of the rectangle, i.e.:
A = 2.π.r.h
A cylinder of radius r and height h has area:
= 2πrh
If multiply both dimensions <u>by a factor of 2</u>:
= 2.π.2r.2h
= 8πrh
Comparing to
:
=
= 4
Doubling radius and height creates a surface area of a cylinder 4 times greater.
<u>By factor 3:</u>
Comparing areas:
=
= 9
Multiplying by 3, gives an area 9 times bigger.
<u>By factor 5</u>:
Comparing:
=
= 25
The new area is 25 times greater.
B. By analysing how many times greater and the factor that the dimensions are multiplied, you can notice the increase in area is factor². For example, when multiplied by a factor of 2, the new area is 4 times greater.