Answer:
x + y = -2
Step-by-step explanation:
The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:
1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1
2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2
3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2
1. Angle DEF
2. Definition of congruent angles
3. The measure of angle GHI
Answer:
<em>The salesperson's commission for this month is $3,803</em>
Step-by-step explanation:
<u>Percentages</u>
Let's call x to the sales volume, not including commission.
The salesperson is paid an 8.25% commission on sales, thus the total invoice is x + 8.25%x = x + 0.0825x = 1.0825x
We are given this total invoice, thus:
1.0825x = $49,900
Dividing by 1.0825:
x = $46,097
The salesperson's commission is
0.0825*$46,097=$3,803
The salesperson's commission for this month is $3,803
Answer:
Determine the conditional probability distribution of X given that Y = 1 and Z = 2. Round your answers to two decimal places (e.g. 98.76).
answer:
Given that Y = 1 : 2/5
Given that Z = 2 : 3/5
Step-by-step explanation:
The conditional probability distribution of X F x | yz^( x )
Given that Y = 1
F x | yz . ( x | yz ) = 2/5
Given that z = 2
= 3/5
attached below is the detailed solution
perimeter = 2L +2W
the problem states the length ( L) is 2 meters longer then width, so L = w+2
so perimeter =2(w+2) +2w
24 = 2(w+2) +2w
24 = 2w+4 +2w
24 = 4w+4
20=4w
w=20/4 = 5
