Answer:
(-2/17, 5/17)
Step-by-step explanation:
Given the coordinates A (-3,-5) to B (9,4), we are to find the coordinate of the point cutting the line using the ratio 7:10
Using the midpoint formula;
M(X,Y) = {(ax1+bx2/a+b, (ay1+by2/a+b))
Given
x1 = -3, y1 = -5, x2 = 9, y2 = 4, a = 7 and b = 10
get the required coordinates;
X = ax1+bx2/a+b
X = 7(-3)+10(9)/7+10
X = -21+19/17
X = -2/17
Get the Y coordinate;
Y = ay1+by2/a+b
Y = 7(-5)+10(4)/7+10
Y = -35+40/17
Y = 5/17
Hence the required coordinate is (-2/17, 5/17)
Answer:
The total commission is $8905
Step-by-step explanation:
The commission on first $80000 = 2%
The commission on next $80000 = 4%
The commission on the sales of more than $160000 = 5%
Now we have to calculate the total commission on the amount of $242100. Let divide the amount in three parts, $80000 + $80000 + $82100 = 242100
Now total commission = $80000×2% + $80000 ×4% + $82100×5%
Total commission = $8905
Answer: 82
Step-by-step explanation:
H=9(-3)^2+1
Simplify both sides of the equation.
h=81+1
81+1 =82
h=82