When you draw a diagonal line from Y to W, you will create two congruent triangles.
Each of these triangles will have three sides of different lengths, making them scalene triangles.
In each of these triangles, there will be one 90° angle, right angle, and two acute angles (less than 90°). This would classify these triangles as right triangles based on the angles.
Both triangles are right, scalene triangles.
Assume that the initial coordinates are (x,y) and that the dilated coordinates are (x',y').
The dilation is therefore:
(x,y) ............> (x',y')
Now, let's assume that the dilation factor is k.
Therefore:
x' = kx
y' = ky
Based on the above, all the student has to do is get the initial coordinates and the final ones and then substitute in any of the above two equations to get the value of k.
Example:
Assume an original point at (2,4) is dilated to coordinates (4,8). Find the dilation factor.
Assume the dilation coefficient is k.
(x,y) are (2,4) and (x',y') are (4,8)
Therefore:
x' = kx .........> 4 = k*2 ..........> k = 2
or:
y' = ky ..........> 8 = k*4 .........> k = 2
Based on the above, the dilation coefficient would be 2.
Hope this helps :)
Answer:
<em>5</em>
Step-by-step explanation:
General equation of direct variation:
y = kx,
where k is the constant of proportionality.
In your case, you have
y = 5x, so 5 is the constant of proportionality.
Answer:v
Step-by-step explanation:
3(x^2+3)
the gcf is 3
Answer:
Given: f(x) = x + 5
If this function changes to $8 per car then
The function: f(x) = x + 8
The concept of equation of straight line: y= mx + b
where b represents the y-intercept
In the equation above, the y-intercept changed from 5 to 8.
The graph will shift 3 units up
