C. 0<p<3 is the answer (at most)
Hope dis helped :)
Answer:
40/41
Step-by-step explanation:
tanB=opposite length/adjacent length
tanB=40/41
X-1%x^2-2x-3 =0
X-1=0
X=1 , ≠-1 , x≠3
Answer X=1
X objects in t seconds.....how long to sort 15 objects....so x = 15
t = 0.007(15^2) + 0.003(15)
t = 0.007(225) + 0.045
t = 1.575 + 0.045
t = 1.62 seconds <===
<span>Orthocenter is at (-3,3)
The orthocenter of a triangle is the intersection of the three heights of the triangle (a line passing through a vertex of the triangle that's perpendicular to the opposite side from the vertex. Those 3 lines should intersect at the same point and that point may be either inside or outside of the triangle. So, let's calculate the 3 lines (we could get by with just 2 of them, but the 3rd line acts as a nice cross check to make certain we didn't do any mistakes.)
Slope XY = (3 - 3)/(-3 - 1) = 0/-4 = 0
Ick. XY is a completely horizontal line and it's perpendicular will be a complete vertical line with a slope of infinity. But that's enough to tell us that the orthocenter will have the same x-coordinate value as vertex Z which is -3.
Slope XZ = (3 - 0)/(-3 - (-3)) = 3/0
Another ick. This slope is completely vertical. So the perpendicular will be complete horizontal with a slope of 0 and will have the same y-coordinate value as vertex Y which is 3.
So the orthocenter is at (-3,3).</span>
