To find the slope (m), use the slope formula:
and plug in the two points
(4, -4) = (x₁, y₁)
(6, -6) = (x₂, y₂)
[lines usually go from left to right, so the point furthest to the left is the 1st point]
[two negative signs cancel each other out and become positive]
m = -1
Answer:
x = 136/11
, y = 68/11
Step-by-step explanation:
Solve the following system:
{6 x - y = 68
2 y = x
Hint: | Choose an equation and a variable to solve for.
In the second equation, look to solve for x:
{6 x - y = 68
2 y = x
Hint: | Reverse the equality in 2 y = x in order to isolate x to the left hand side.
2 y = x is equivalent to x = 2 y:
{6 x - y = 68
x = 2 y
Hint: | Perform a substitution.
Substitute x = 2 y into the first equation:
{11 y = 68
x = 2 y
Hint: | Choose an equation and a variable to solve for.
In the first equation, look to solve for y:
{11 y = 68
x = 2 y
Hint: | Solve for y.
Divide both sides by 11:
{y = 68/11
x = 2 y
Hint: | Perform a back substitution.
Substitute y = 68/11 into the second equation:
{y = 68/11
x = 136/11
Hint: | Sort results.
Collect results in alphabetical order:
Answer: {x = 136/11
, y = 68/11
-50 because if he owes 10 different people the same amount it would be -50 because he owes them money
To calculate percent change:
(difference between original and new)/original * 100
(19-15)/15 * 100 =
4/15 * 100 = 26.7 % increase
So first of all you need to know that in 1 quart there is 31.9995 ounces so since shes says there is 2 quarts lets do the math:)
31.9995 x 2 = 63.999 ounces
now she says she took 8 mugs and filled them up each with 6 and 3/4 ounces. lets do the math:)
6 and 3/4 x 8 = 30 ounces
now lets subtract that from our 2 quarts or 63.999 ounces
63.999 - 30 = 33.999
so we have 33.999 fluid ounces left in the jar:)
hope this helps lol
