Answer:
1. 2,3; -2, 3
2. Both points share common values, but their absolute values for the x-value vary.
3. 2,3; 2, -3
4. Both points share common values, but their absolute values for the y-value vary.
Step-by-step explanation:
For 1, the answer is thus:
-On the graph, the original point is 2, 3.
-A reflection over the y-axis changes the x-value, so it would be -2,3.
Similar for the next chart:
-The initial point is 2,3.
-A reflection over the x-axis changes the y-value, so the reflected point would be 2, -3.
The explanation is:
Both points have similar values except with differences in the absolute value.
Hope this helps you.
Answer:
You get the answer by seeing if the line on the graph passes through the origin and if it does you see how many there is for every 1 thing.
Step-by-step explanation:
Answer:
Coordinates of the midpoint are (-5.5, 5)
Answer:
perimeter = 6x + 15
Step-by-step explanation:
The perimeter of the triangle is the distance around the triangle.
We need to apply our ability to convert word problems in to mathematical expressions.
We were told that the bottom of the triangle is x units.
From the diagram perimeter 4x + 12 + x + 3 + x = 6x + 15
Four times the length of the bottom will be 4x .
12 more than 4 times the bottom will be 4x + 12.
Hence another side of the triangle is 4x + 12.
Finally we were told that the last side is 3 more than the bottom, that will be x + 3.
Answer:
Simplifying
5x + x = 54
Combine like terms: 5x + x = 6x
6x = 54
Solving
6x = 54
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '6'.
x = 9
Simplifying
x = 9
Step-by-step explanation:
