The coordinate (5,-6) lies in the fourth coordinate, because the first is x positive y positive, the second is x negative and y positive, the third is x negative and y negative, and the fourth is x positive y negative. This is x positive y negative, so it is in the fourth quadrant.
The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
The ratios 47/96 and 47:96 are appropriate here.
Answer:
Step-by-step explanation:
-3 / 1 8 9 -18
-3 -15 18
_______________
1 5 -6 0
The remainder here is 0 and the quoitient is 1x^2 + 5x - 6.
Answer:
Step-by-step explanation:
ax - b = 3x + 5d
For x;
ax = 3x + 5d +b
x = (3x + 5d + b)/a
Now for d;
ax - b -3x = 5d
d= (ax - b - 3x)/5