Answer:
if the two lines have the same slope that means they are parallel
Answer:
Coffee = $2.00
Juice = $1.50
Doughnut = $1.00
Step-by-step explanation:
Given
Let:

So, we have:
Anna

Barry

Cathy

Required
The price of each
We have:



Make c the subject in: 

Substitute
in
and 

![2[5.00 - 3d] + j + 2d = 7.50](https://tex.z-dn.net/?f=2%5B5.00%20-%203d%5D%20%2B%20j%20%2B%202d%20%3D%207.50)

Make j the subject



![3[5.00 - 3d] + j + 4d = 11.50](https://tex.z-dn.net/?f=3%5B5.00%20-%203d%5D%20%2B%20j%20%2B%204d%20%3D%2011.50)

Make j the subject


So, we have:
and 
Equate both values of j

Collect like terms


Substitute
in 




To solve for c, we substitute
in 


Solve for c


9514 1404 393
Answer:
AE = CE = 23; BE = DE = 20
Step-by-step explanation:
Put the values of the variables in their place and do the arithmetic.
AE = 2u+5 = 2(9) +5 = 23
BE = 6v-1 = 6(3.5) -1 = 20
CE = 3u-4 = 3(9) -4 = 23
DE = 8v-8 = 8(3.5) -8 = 20
The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.
Answer:
y=4/5x-2
Step-by-step explanation:
here are the given points: (5,2) and (10,6)
First, let's find the slope, which is found with the equation (y2-y1)/(x2-x1)
so let's label the points
x1=5
y1=2
x2=10
y2=6
now we can substitute into the equation
m=(6-2)/(10-5)
subtract
m=4/5
so that means the slope is 4/5
Now, let's use point slope form, which is y-y1=m(x-x1) (m is the slope)
so let's substitute the numbers we know from earlier into the equation
y-2=4/5(x-5)
do distributive prop.
y-2=4/5x-4
add 2 to both sides
y=4/5x-2
hope this helps!