Answer:
21 cm
Step-by-step explanation:
The perimeter is the length of the outside of a shape. In this case, we can simply add up all the edges and multiply by .5(the length of one edge).
Horizontal Edges: 22
Vertical Edges: 20
Total: 42
Perimeter = 
Answer:
29011144
Step-by-step explanation:
I am going to answer these from left to right.
Corresponding
None
Corresponding
Alternate exterior
Alternate interior
Answer:
A line passing through (1, 3) and (5, 11)
Rate of change = 2
Step-by-step explanation:
- <em>Rate of change = change in y / change in x</em>
- <em>r = Δy/Δx</em>
<u>Let's get the rate of change for each line:</u>
A line passing through (-1, 4) and (1, 7).
- r = (7 - 4) / (1 -(-1)) = 3/2
A line passing through (1, 3) and (5, 11).
- r = (11 - 3) / (5 - 1) = 8/4 = 2
A line passing through (1, 1) and (4, -3).
- r = (- 3 - 1) / (4 - 1) = -4/3
A line passing through (0, 6) and (12, 9)
- r = (9 - 6) / (12 - 0) = 3/12 = 1/4
<u>Comparing the values of r, we can see the greatest one is</u> 2 for the line passing through (1, 3) and (5, 11)
Answer:
Step-by-step explanation:
This is a horizontally stretched ellipse. That means that the horizontal line which is represented by the x-axis is the longer one. The equation for this type of ellipse is

In an ellipse, the a value is ALWAYS bigger than the b value, and since the x-axis represents the longer axis, the a goes under the x-squared term.
To solve for the h, the k, the a, and the b, we simply have to do some counting. The center of the ellipse, the (h, k) our of equation, is sitting at (4, 6). Put them where they belong in the equation. The a axis (the horizontal one) is 8 units long, and the b axis (the vertical one) is 4 units long. Square both of them and put them where they belong in the equation:

There you go!