The answer is rotation then translation. (:
When two geometric figures (angles, rectangles, etc.) have the same size and shape, they are called <u>Congruent.</u>
To find the y intercept you must substitute 0 into x.
F(x) = (-3x0) - (6x0) - 5
F(x) = -5
To find the axis of symmetry and vertex we use the formula -b/2a to find the x coordinate
x = 6/(-3x2)
x = 6/-6
x = -1
Now we need to find the y coordinate so we sub -1 into x.
F(x) = (-3x-1) - (6x-1) - 5
F(x) = 3 + 6 - 5
F(x) = 4
The axis of symmetry and vertex are (-1,4) and the y coordinate is -5. Hope this helps.
Answer:
4951 students
Step-by-step explanation:
If there was 99 students from each state, that would make the total to be:
99 * 50 = 4950
We can use the pigeon hole principle to make this the minimum number required.
The pigeon hole principle basically tells us that if you have more "pigeons" than "holes" then there must be one hole with multiple objects in it.
So, using this idea, we see that:
we need at least 1 more to ensure this
So, min number required would be
4950 + 1 = 4951
