Like terms" refers to individual terms that have the same variable in them. Also, the variable in
any "like terms" is raised to the same power.
For example: 3x and 10x are like terms (both have the variable x, raised to the 1st power). 14a2 and ba2 are also like terms (both have the variable a, raised to the 2nd power)
Problem 12)
You are correct. You solve the system
x+1 = 3y
3x-4 = 5y+1
for x and y to find that x = 5 and y = 2
As a check
x+1 = 3y
5+1 = 3*2
6 = 6 ... true equation
and
3x-4 = 5y+1
3*5-4 = 5*2+1
11 = 11 ... true equation
Both equations are true when (x,y) = (5,2) so the answer is confirmed
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Problem 13)
Unfortunately the diagram is cut off so its impossible to say at the moment. Please repost this one. Thank you.
Answer:-16/11
Step-by-step explanation:
<h3>
Answer: y = -2</h3>
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Work Shown:
m = 0 is the slope
b = -2 is the y intercept
y = mx+b
y = 0x+(-2)
y = 0x-2
y = 0-2
y = -2
This line is horizontal and goes through -2 on the y axis.
Two points on this line are (0,-2) and (1,-2)
The formula for the perimeter of a square is P=4a where "P" is the perimeter and "a" is for the length of the side. In this problem, the perimeter is given which is equal to 12 units, then we can solve for the distance or length of the side which is shown below:
P=4a
12=4a
a=3 units
The answer is (2,1) and proof of this is the distance should be equal to 3 units
at the vertex (2,4)
d²=(2-2)²+(4-1)²
d²=0²+3²
d=3 units
Hence, answer is (2,1)
