Answer: The equations are
6x - 6y = 9
4x + 4y = 9
Step-by-step explanation:
Let x represent the speed of the row boat in still water.
Let y represent the speed of the current.
Dana can travel 9 miles in her rowboat in 6 hours against the current. This means that the total speed at which she travelled is
(x - y) miles per hour.
Distance = speed × time
Distance travelled against the current is expressed as
9 = 6(x - y)
6x - 6y = 9
With the current, it takes 4 hours to row the same distance. This means that the total speed at which she travelled is
(x + y) miles per hour.
Distance travelled with the current is expressed as
9 = 4(x + y)
4x + 4y = 9
The slope of a horizontal line is 0.
It doesn't raise any higher so it can have a slope
We want to add something to the right side of the equation to get 81.
x^2 - 18x + 81 = 23
The final step is to factor and subtract 23. (Subtracting 23 is a unnecessary, but whatever)
(x - 9)^2 - 23 = 0
So "x" = 9 + sqrt23
The centroid is found by intersecting the medians of a triangle
Answer: Choice B
This is something to memorize or have on a reference sheet
Side notes:
1) The altitudes cross to form the orthocenter
2) The perpendicular bisectors intersect at the circumcenter
3) The angle bisectors intersect at the incenter
Answer:
y = 3/5x + 6
Step-by-step explanation:
When given two points, it is convenient to start with the 2-point form of the equation of a line, then rearrange it to the form needed for the problem. For points (x1, y1) and (x2, y2), the equation is ...
y = (y2 -y1)/(x2 -x1)·(x -x1) +y1
Filling in the given point coordinates, this is ...
y = (3 -0)/(-5 -(-10))·(x -(-10)) + 0
y = 3/5(x +10)
y = (3/5)x + 6