Answer:
Step-by-step explanation:
The track has four sides of the square and the distance around 2 complete circle(s)
Answer:
it's technically 9 because it's the same as 11-2
Answer:
81.6
Step-by-step explanation:
mean/average of her grade = sum of all scores/the number of scores
= (93+82+74+92+67)/5
= 81.6
Answer:
y = -2.8x +69.4
Step-by-step explanation:
The 2-point form of the equation of a line can be used to find the equation of the line through points (3, 61) and (13, 33). The general form of it is ...
y = (y2-y1)/(x2-x1)·(x -x1) +y1
For the given points, this is ...
y = (33 -61)/(13 -3)·(x -3) +61
y = -28/10(x -3) +61
y = -2.8x +69.4 . . . . . the equation of the line through the given points
_____
<em>Comment on the problem</em>
A "line of best fit" is one that minimizes some measure of deviation from the line. Usually, what is minimized is the square of the deviations. Choosing two points to draw the line through may be convenient, but does not necessarily result in a line of best fit.
Ok, I'm going to start off saying there is probably an easier way of doing this that's right in front of my face, but I can't see it so I'm going to use Heron's formula, which is A=√[s(s-a)(s-b)(s-c)] where A is the area, s is the semiperimeter (half of the perimeter), and a, b, and c are the side lengths.
Substitute the known values into the formula:
x√10=√{[(x+x+1+2x-1)/2][({x+x+1+2x-1}/2)-x][({x+x+1+2x-1}/2)-(x+1)][({x+x+1+2x-1}/2)-(2x-1)]}
Simplify:
<span>x√10=√{[4x/2][(4x/2)-x][(4x/2)-(x+1)][(4x/2)-(2x-1)]}</span>
<span>x√10=√[2x(2x-x)(2x-x-1)(2x-2x+1)]</span>
<span>x√10=√[2x(x)(x-1)(1)]</span>
<span>x√10=√[2x²(x-1)]</span>
<span>x√10=√(2x³-2x²)</span>
<span>10x²=2x³-2x²</span>
<span>2x³-12x²=0</span>
<span>2x²(x-6)=0</span>
<span>2x²=0 or x-6=0</span>
<span>x=0 or x=6</span>
<span>Therefore, x=6 (you can't have a length of 0).</span>
