Answer:
C. 3
Step-by-step explanation:
This is a 30 60 90 triangle. To get from 3 rad 3 to x you need to divide rad 3 which gives you 3.
In the linear equation y = mx + b, y-intercept represents the value of y. It is the point where the line crosses the y-axis(vertical axis)
Finding the y-intercept is done by looking at which point in the graph crosses the y-axis. This point will always have an x-coordinate of zero(0).
Let's call bicycles 'b' and unicycles 'u'
Note that bicycles have 2 tires, and unicycles have 1 tire.
We can make two equations:
b = u + 8
2b + 1u = 46
Solving the first equation for u, we get:
u = b - 8
Plug that equation into the second, and we get:
2b + (b - 8) = 46
Subtract 2b on both sides.
1(b - 8) = 46 - 2b
Basically, I used b and your question used n.
The correct answer is: D. 1(n - 8) = 46 - 2n.
Answer:
(-6, 6)
Step-by-step explanation:
The coordinates of B to start with is
(-2, 2)
To dilate this by a factor of 3....
-2 * 3 = -6
2 * 3 = 6
The new coordinates of B' would be
(-6, 6)
A few things to know:
- The number 3 is called a "<u>scale factor</u>"
- Dilation means we are multiplying all the (X, Y)'s by the scale factor
- If the scale factor is <u>greater than 1</u>, the size of the shape overall increases
- If the scale factor is <u>less than 1</u>, the size of the shape overall decreases
- If the scale factor is <u>negative</u>, the shape size stays the same. The shape just rotates 180 degrees and moves to the opposite quadrant.
