Answer:
Step-by-step explanation:
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General Circle function: 
, where h is the x-coordinate of the center, k is the y-coordinate of the center, and r is the radius.
The radius of the circle is half the diameter so: 8 / 2 = 4
The x-coordinate of the circle is 5
The y-coordinate of the circle is -2
Plug in.
0.5 because if you divide 3 and 6 yards it’s equal to 0.5yards. You divide the yard and the friends because they are sharing three yards. So, each friend gets 0.5 yard each.
The graph will cross at the coordinates (-2, 9)
<h3>How to solve equations?</h3>
y = 3x + 15
y = 3 - 3x
y = 3x + 15
Hence,
when x = 2
y = 3(2) + 15 = 21
when x = 0
y = 3(0) + 15 = 15
y = 3 - 3x
when x = 2
y = 3 - 3(2)
y = 3 - 6
y = -3
when x = 0
y = 3 - 3(0)
y = 3
Therefore, let's check if the equation will cross.
y = 3x + 15
y = 3 - 3x
using substitution,
3 - 3x = 3x + 15
3 - 15 = 3x + 3x
- 12 = 6x
x = -12 / 6
x = -2
y = 3 - 3(-2)
y = 3 + 6
y = 9
Therefore, the graph will cross at the coordinates (-2, 9)
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<h2>
Answer:</h2>
is the Square Root Function. These are the characteristics of the graph of the square root function:
-
The domain of the function is the set of all non negative real numbers.
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The range of the function is the set of all non negative real numbers.
-
The graph has an intercept at
.
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The graph is increasing on the interval
.
Since the function 
, then this stands for the form:
. This form tells us that the graph of f has been shifted c units downward where the value c = 2 in this problem. The graphs of both functions are shown below. The red one is 
while the blue one is 
Answer:
y = 2/3x - 3
Step-by-step explanation:
Step 1: Write equation
2x - 3y = 9
Step 2: Solve for <em>y</em>
- Subtract 2x on both sides: -3y = 9 - 2x
- Divide both sides by -3: y = -3 + 2/3x
- Rewrite: y = 2/3x - 3
