Answer: y = 2x+11
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Explanation:
The given line y = 2x-4 has a slope of m = 2 as it is in the form y = mx+b
m = slope
b = y intercept
Anything parallel to the given line will also have a slope of m = 2 as well. Parallel lines have equal slopes.
The given point is (x,y) = (-3,5) so x = -3 and y = 5 pair up
We will plug m = 2, x = -3 and y = 5 into the equation below and solve for b
y = m*x+b
5 = 2*(-3)+b
5 = -6+b
5+6 = -6+b+6 ... add 6 to both sides
11 = b
b = 11
Because m = 2 and b = 11, this means we have y = mx+b update to y = 2x+11 which is the final answer
the base must be raised
for example
55 = n ( the base is 10 ), then
55 =
7 x 3= 21 you can also use a calculator to help you
Answer:
x = 17 $20 bills
y = 30 $5 bills
General Formulas and Concepts:
- Order of Operations: BPEMDAS
- Multivariable Systems
Step-by-step explanation:
<u>Step 1: Define variables</u>
x = # of $20 bills
y = # of $5 bills
<u>Step 2: Set up systems of equations</u>
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<u>Step 3: Solve for </u><em><u>x</u></em>
- Rewrite:
- Substitute:
- Distribute 5:
- Combine like terms:
- Subtract 235 on both sides:
- Divide both sides by 15:
By solving for <em>x</em>, we now know that we have 17 $20 bills.
<u>Step 4: Solve for </u><em><u>y</u></em>
- Define: x + y = 47
- Substitute: 17 + y = 47
- Subtract 17 on both sides: y = 30
Now we know that we have 30 $5 bills.
Answer:40.6cm
Step-by-step explanation: