<h3>
Answer: slope = 1/3</h3>
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Work Shown:
Use the slope formula to get
m = (y2 - y1)/(x2 - x1)
m = (0 - (-3))/(9 - 0)
m = (0 + 3)/(9 - 0)
m = 3/9
m = 1/3
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Basically we subtract the y coordinates, and do the same for the x coordinates as well (subtract in the same order). Afterward, divide the two results. Reduce the fraction as much as possible.
A slope of 1/3 means we move up 1 unit each time we move to the right 3 units.
The slope being positive means the line goes uphill as you read from left to right.
Answer:
-120
Step-by-step explanation:
subtract 45 to both sides
m/8 = -15
multiply by 8 on both sides.
with the fraction just multiply by the bottom number to make m by itself.
m = -15*8
m= -120
Answer: 8 centimeters
Step-by-step explanation: To find the radius of the circle, remember that the formula for the area of a circle is πr² and since we're given that the area of our circle is 64π, we can set up the equation 64π = πr².
To solve for <em>r</em>, we first divide both sides of the equation by π.
On the left side, the π's cancel and we're left with 64 and on the right side, the π's cancel and we're left with r².
So we have 64 = r².
Next, we take the square root of both sides to get 8 = r.
So the radius of our circle is 8 centimeters.
Answer:
The area is 136
Step-by-step explanation:
7 x 16 = 112
1/2 x 8 x 6 = 24
24 + 112 = 136
Answer:
Step-by-step explanation:
Given
See attachment for complete question
Required
Match equivalent expressions
Solving (a):
The expression can be written as:
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---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
Solving (b):
The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
Solving (c):
The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
Solving (d):
The expression can be written as:
--- 0
---- 1
--- 2
---- 3
---- 4
For the nth term, the expression is:
---- n
So, the summation is:
