Step-by-step explanation: To shift the graphs up and down on the coordinate system, you need to manipulate or change the y-intercepts.
The y-intercept is just the constant term in the equation.
As long as the slopes remain the same, the graphs can be
translated up or down by changing the constant value.
Take a look at these lines graphed below.
Notice that y = x + 11 is the same as y = x + 4 but
y = x + 11 is translated 7 units down to get y = x + 4.
Answer:
- <em>A line of symmetry and the line between opposite points in the symmetry</em><em> are </em><u>perpendicular to each other. </u>
Explanation:
A line of simmetry splits the figure into two identical halves.
Suppose you have a symmetrical plane figure (like a square or a circle), the line of symmetry divides such figure in two sides: call them the left side and the right side.
The reflection of each point on the right side is a point on the left side along the perpendicular line that joins the two points and the line of symmetry.
For instance, if the line of symmetry is vertical, such as the x-axis, the line between the opposite points in the symmetry is horizontal, i.e. perpendicular to the x-axis (the line of summetry).
A 12-sided die is rolled. The set of equally likely outcomes is {1,2,3,4,5,6,7,8,9,10,11,12). Find the probability of rolling a
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Answer:

Step-by-step explanation:
Given
--- outcomes
-- sample size
Required

This is calculated as:

because none of the outcomes is greater than 12:
So:


Answer: x= 2.5, y = 10
Step-by-step explanation:
<u><em>I'm going to assume that these photocopies are proportional in relations to each other.</em></u>
If they're proportional, you can set up two proportions:

And cross-multiply:

Then solved for x and y:
