1. The simplified expression is 10x+8y-12.
Combine like terms to simplify the expression.
-6x-12+8y+16x
-6x and 16x are both like terms, so those can be combined.
-6x+16x=10x
10x+8y-12
2. The solution to the equation is x=13.
Solve by adding 17 to both sides of the equation.
-4=-17+x
-4+17=-17+17+x
13=x
The last part answers the first part for you, just look at the y-values.
In other words:
<em>A'</em><em> </em>(-8, 2)
<em>B'</em> (-4, 3)
<em>C'</em> (-2, 8)
<em>D'</em> (-10, 6)
Explanation:
When you reflect any point over the x-axis, the y-value of the ordered pair is going to change.
This makes sense especially considering that the x-axis is horizontal, so the only way you could cross is to move up or down. If you were to move left or right, you'd only be able to cross the y-axis, since it's vertical.
Now for the last part, as I mentioned above, if you are reflecting across the y-axis, the x-values of the ordered pair is going to change.
<em>A'</em><em>'</em> (8, 2)
<em>B'</em><em>'</em> (4, 3)
<em>C'</em><em>'</em> (2, 8)
<em>D'</em><em>'</em> (10, 6)
Take note that the only thing that changes for the respective value is its sign, while the number itself stays the same.
Answer:
Margin of error = 0.773
Step-by-step explanation:
We are given the following information in the question.
Sample size, n = 20
Sample mean = 8
Sample standard deviation = 2
90% Confidence interval
Putting the values, we get,
Margin of error:
Putting the values, we get,
Answer:
3 inches
Step-by-step explanation: An equilateral triangle means all 3 sides are the same length.
A square also have the same length for all 4 sides.
So each side of the square is 6cm, to find the perimeter you do 6*4=24.
then divide the square's perimeter by 3 since triangle have 3 sides. 24/3=8
so each side of the triangle will be 8cm
