<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>
Answer:
Option B: 
Step-by-step explanation:
A function is said to be increasing if it has a slope greater than 0.
The function with the largest slope has the highest increasing rate.
Here, for the graph in option A, the function is decreasing with increasing 
. So, it has a negative slope.
We need to convert equation of option B into standard form and then determine its slope.
The standard form of a straight line is 
, where 
is the slope of the line and 
is the y-intercept.
Now, given function is:
Therefore, the slope is 2.
Option C:
Slope is given as,
Therefore, the slope is 1.
Option D:
Equation of a line with 
and as and 
intercepts is given as,
Here, 
and 
∴ 
Therefore, the slope is 
.
Hence, the largest slope is for option B and thereby the highest increasing rate.
Answer:
Non linear. It is a curve not a line.
14x + 11y = 896
x = number of adults
y= number of kids
if nine adults went then 70 kids went
Answer:
11
Step-by-step explanation:
it says 11
