Answer:
Step-by-step explanation:
Average of x-coordinates = (8+3)/2 = 5.5
Average of y-coordinates = (5+7)/2 = 6
Midpoint at (5.5,6)
Monthly salary of Kedar = $2000
Percentage commission on the amount of his sales = 3.75%
Amount of money for which clothing sold by Kedar = $4500
Amount of interest earned by Kedar this month = (3.75/100) * 4500
= 3.75 * 45
= 168.75 dollars
So
The total amount earned by Kedar this month = (2200 + 168.75) dollars
= 2368.75 dollars
So Kedar earned a total amount of $2368.75 this month.I hope the procedure is absolutely clear to you.
In here, we will use the distance formula

Compute the distance between <span>(-5, 3) and (5, 3)
</span>

<span>
= 10
The distance between </span>(-5, 3) and (5, 3) is 10
Answer:
(x, y) = (1, -1)
Step-by-step explanation:
We'll write these equations in general form, then solve using the cross-multiplication method.
43x +67y +24 = 0
67x +43y -24 = 0
∆1 = (43)(43) -(67)(67) = -2640
∆2 = (67)(-24) -(43)(24) = -2640
∆3 = (24)(67) -(-24)(43) = 2640
These go into the relations ...
1/∆1 = x/∆2 = y/∆3
x = ∆2/∆1 = -2640/-2640 = 1
y = ∆3/∆1 = 2640/-2640 = -1
The solution is (x, y) = (1, -1).
_____
<em>Additional comment</em>
The cross multiplication method isn't taught everywhere. The attachment explains a bit about it. Our final relationship changes the order of the fractions to 1, x, y from x, y, 1. That way, we can use the equation coefficients in their original general-form order. (The fourth column in the 2×4 array of coefficients is a repeat of the first column.)
A is additive equality, where -x and x adds to 0
b is distributive, where x(y+z)=xy+xz
c is multiplicative equality, where x*1=x
d is subtracting both sides by 3.