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<u>Answer
</u>
Option A) 17cm
<u>Explanation
</u>
Polygon R and polygon S are similar. This means the polygon R and S have equal number of sides.
Step 1 : Find the number of sides of polygon S
The perimeter of polygon S is 64 cm. If one side of polygon S is 8 cm
Therefore, Number of sides of polygon S = 64/8 = 8 sides
and number of sides of polygon R = 8 side
Step 2 : Find the number of sides of polygon R
The perimeter of polygon R is 136 cm,
Number of sides of polygon R = 136/8 = 17 cm
Therefore side length of polygon R = 17 cm
Answer:
Part A:
The graph passes through (0,2) (1,3) (2,4).
If the graph that passes through these points represents a linear function, then the slope must be the same for any two given points. Using (0,2) and (1,3). Write in slope-intercept form, y=mx+b. y=x+2
Using (0,2) and (2,4). Write in slope-intercept form, y=mx+b. y=x+2. They are the same and in graph form, it gives us a straight line.
Since the slope is constant (the same) everywhere, the function is linear.
Part B:
A linear function is of the form y=mx+b where m is the slope and b is the y-intercept.
An example is y=2x-3
A linear function can also be of the form ax+by=c where a, b and c are constants. An example is 2x + 4y= 3
A non-linear function contains at least one of the following,
*Product of x and y
*Trigonometric function
*Exponential functions
*Logarithmic functions
*A degree which is not equal to 1 or 0.
An example is...xy= 1 or y= sqrt. x
An example of a linear function is 1/3x = y - 3
An example of a non-linear function is y= 2/3x
divide both sides by 7 to get x alone
84/7 = 12
B.12
3t-2+t=4-7t
4t-2=4-7t
-6=-11t
6/11=t
