Answer:
The median is 2.65 seconds
Step-by-step explanation:
So the median is the middle number. First of all, we have to sort them into ascending order.
2.35, 2.38, 2.43, 2.65, 2.69, 2.78, 10,91.
Since this is median and not mean, we don't need to get rid of outliers / anomalies.
The middle number in that would be 2.65.
Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
Answer:
(-a-b,c)
Step-by-step explanation:
midpoint D : ((-2b-2a)/2 ;(2c+0) /2 )
(-2b-2a)/2 = 2(-b -a)/2 = -b-a
(2c+0) /2 =2c/2 = c
If the sides are 9 the height will be 7.8
