You could use the distance formula to prove its the same line.
square root of (x2-x1)^2+(y2-y1)^2
(5-3)^2+(6-9)^2
4+9
square root of 13
(-2- -4)^2+(3-6)^2
4+9
square root of 13
this proves it is the same line.
Answer:
150 boys were enrolled in 2012
Step-by-step explanation:
Let the number of boys enrolled in 2012 be x
Let the number of girls enrolled in 2012 be x + 200
Ratio of boys to girls in 2012 enrollment = 3/7
Now;
3/7 = x/x + 200
7x = 3(x + 200)
7x = 3x + 600
7x - 3x = 600
4x = 600
x = 600/4
x = 150 boys
Hence, 150 boys were enrolled in 2012
The solution to the given modulus equation is 5
<h3>Modulus of a function</h3>
The modulus of a function can be positive or negative. They are known to have two solutions.
Given the expression
|b+3| = | 2b-2|
For the positive values
b+3 = 2b-2
Collect the like term
b - 2b = -2-3
-b = -5
b = 5
For the negative value
-b-3 = -2b + 2
-b+2b = 2 + 3
b = 5
Hence the solution to the given modulus equation is 5
Learn more on modulus equation here: brainly.com/question/24368848
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Answer:
The answer is 5.
Step-by-step explanation:
Use order of operations. Parentheses come first, so I will compute what is in parentheses first. 11-3 is 8. Then, division comes next. I will divide 8 by 2 to get 4. Lastly, add 1 to get 5.
