To determine the median, we need to set up our numbers from least to greatest, and then place T in later to figure out what T is. 8, 9, 9, 9, 10, 11, 12, 15. Cross out the smallest number with the largest number. 9, 9, 9, 10, 11, 12. 9, 9, 10, 11. 9, 10. 9.5 is our median currently. Since we need to get a number after 10 to make 10 the median, let's use 12. 8, 9, 9, 9, 10, 11, 12, 12, 15. 9, 9, 9, 10, 11, 12 ,12. 9, 9, 10, 11, 12. 9, 10, 11. 10 is now our median since we inserted 12 into our list. Your answer is 12. I hope this helps!
A line perpendicular to the given line has a slope that is the negative inverse of the reference line.
Rewrite the given equation in the format of y=mx+b, where mi is the slope and b is the y-intercept (the value of y when x = 0.
2x + 3y = 4
3y=-2x+4
y = -(2/3)X + (4/3)
The reference slope is -(2/3). The negative inverse is (3/2), which will be the slope of a perpendicular line. We can write the new line as:
y = (3/2)x + b
Any value of b will still result in a line that is perpendicular. But we want a value of b that will shift the line so that it intersects the point (-3,-5). Simply enter this point in the above equation and solve for b.
y = (3/2)x + b
-5 = (3/2)(-3) + b
-5 = -(9/2) + b
-5 = -4.5 + b
b = - 0.5
The equation of the line that is perpendicular to 2x + 3y = 4 and includes point (-3,-5) is