Given equation of the Circle is ,
And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,
Here we can say that ,
• <u>Radius</u> = 5 units
• <u>Centre </u> = (0,0)
<u>Finding</u><u> </u><u>distance</u><u> between</u><u> </u><u>the </u><u>two </u><u>points</u><u> </u><u>:</u><u>-</u><u> </u>
- Here we can see that the distance of point from centre is less than the radius.
<u>Hence </u><u>the</u><u> </u><u>point</u><u> </u><u>lies </u><u>within</u><u> </u><u>the </u><u>circle</u><u> </u><u>.</u>
His balance will be $6 because -19 - 35 = -54, he added 60 to the -54 so that makes 6 or $6
Answer:
Step-by-step explanation:
hello ;
us the vertex form : f(x) = (x+1)²-3 the vertex is: (-1 , -3)
The "line of best fit" is the result of a linear regression computation. If you have done that, you already know its equation.
If you have "eye-balled" the line into place, then you have to figure out its equation from points you read on the graph. We take a couple of the points to be ... (2001, 1700) and (2010, 2450)
The line through these points will have the equation
... y = (2450 -1700)/(2010 -2001)(x -2001) +1700
... y = (250/3)(x -2001) +1700
Putting x=2013 into this equation, we get ...
... y = (250/3)(2013 -2001) +1700
... = (250/3)(12) +1700
... y = 2700
The population is predicted to be 2700 in 2013.
_____
Had you drawn your graph with a vertical grid line at 2013, you could have read the number from the graph.
If you switch it around, it'll be: 1,707 - 264
Subtract:
1,707 - 264 = 1443
Answer = 1,443
~Hope this helped~