Answer:
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Step-by-step explanation:
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Answer: (x,y) = (-1, 1)
This means that x = -1 and y = 1
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Explanation:
The first equation says that y is the same as 2x+3
That allows us to substitute y for 2x+3 in the second equation like so:
2x+5y = 3
2x+5( y ) = 3
2x + 5(2x+3) = 3 .... y replaced with 2x+3
2x+10x+15 = 3
12x+15 = 3
12x = 3-15
12x = -12
x = -12/12
x = -1
Then we'll substitute this into the first equation to find y
y = 2x+3
y = 2(-1) + 3 .... x replaced with -1
y = -2+3
y = 1
Together x = -1 and y = 1 pair up to form the ordered pair solution (x,y) = (-1,1)
If you were to graph y = 2x+3 and 2x+5y=3 on the same xy grid, then you should see that the two lines intersect at the location (-1,1). This is a visual way to determine the solution quickly through use of a graphing calculator.
Answer:
Step-by-step explanation:
Remember that
Area of Circle = 
They told us that for this circle, the area is 
If you put it back into the formula for area of a circle we get:
Area of Circle =
Divide both sides by 
.
144 = 
Now we want to solve for r (r = radius).
You need to square root each side
So now we know the radius, 
metres
Also remember that
Diameter = 
So,
Diameter = 2 times 12 = 24 metres
Answer:
Only one circle can be drawn through three non nonlinear points, No circle can be drawn through three nonlinear points
Step-by-step explanation:
A circle has a curve. As long as the three non nonlinear points both have the same amount of distance from the center of the circle it can be a circle drawn. No circle can be drawn through three points on the line.
