Radius (R) is equal to the distance between the points (-2,1) and <span>(3,1)
R</span>² = (-2 - 3)² + (1 - 1)² = (-5)² + 0 = 25
R = 5
<span>Equation of the circle:
</span>(х-(-2))² + (у-1)² = 5²
(х+2)² + (у-1)² = 25
Answer:
<u><em>(-1,1)</em></u>
Step-by-step explanation:
We can solve this by either graphing and finding ther point the lines intersect, or mathematically, I'll do both.
<u>Graphing:</u>
<u>Mathematically:</u>
−2x + 4y = 6
y = 2x + 3
See the attached graph. The lines intersect at (-1,1)
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I'll rearrange the first equation (to make it easier for me):
−2x + 4y = 6
4y = 2x + 6
y = (1/2)x + 1.5
Now lets substitute the second equation into the first so that we can eliminate y:
y = 2x + 3
[(1/2)x + 1.5] = 2x + 3
- (3/2)x = (3/2)
x = -1
If x = -1:
y = 2(-1) + 3
y = 1
The solution is x = -1 and y = 1, or (-1,1)
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Both approaches give us (-1,1), the solution to the system of equations. It is the only point that satisfies both equations.
First, look at the x axis (this is the one labeled Minutes Used per month)
Find the number 40, then look at where the lines meet on that line. The red line for Plan B it’s at 8 dollars. The blue line for Plan A is at 4 dollars.
Plan B costs more.
To find the difference, subtract 4 from 8.
$8 - $4 = $4
Plan B costs 4 dollars more than Plan A.
If you have any further questions feel free to ask.
Hope this helps.
Answer:
-10x5 + 8x4 - 7x3 - 20x2 - x + 18
Step-by-step explanation: