5 5 2 2 0
ten thousands thousands hundreds tens ones
Answer:
D. Segment YZ is located at Y(0,1) and Z(−2,1) and is one-third the size of segment Y'Z'
Step-by-step explanation:
When you dilate a point by a factor of x from the origin, you multiply its coordinates by the same factor.
Thus, if the coordinates of the original point are (1,2) and the scale factor is 3, those of its image are (3,6).
If Y'Z' has endpoints at Y'(0,3) and Z'(-6,3) and was dilated by a factor of 3, the coordinates of the endpoints of the pre-image were ⅓ those of the image.
The figure below shows the segments YZ and Y'Z'.
Answer:
A
Step-by-step explanation:
This is how I write
y=kx+m
but I have seen some write it like this:
y=mx+b
Well both of them are the same thing, I'll use the first one because I'm more comfortable with it.
y=kx+m
To find out what k
![k = \frac{y2 - y1}{x2 - x1}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7By2%20-%20y1%7D%7Bx2%20-%20x1%7D%20)
So you first need to choose two points.
I'll go for (0,-5) and (2,0)
![k = \frac{0 - 5}{2 - 0}](https://tex.z-dn.net/?f=k%20%3D%20%20%5Cfrac%7B0%20-%205%7D%7B2%20-%200%7D%20)
![k = \frac{ - 5}{2}](https://tex.z-dn.net/?f=k%20%3D%20%5Cfrac%7B%20-%205%7D%7B2%7D%20)
Now you could insert k into the equation and it will look like this.
![y = \frac{ - 5}{2}x + m](https://tex.z-dn.net/?f=y%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B2%7Dx%20%2B%20m)
To find out what m is just pick one point and insert it into the equation. So if I pick (0,-5). 0=X therefore it should be replaced by x and -5=y therefore it should also be replaced by y.
![- 5 = \frac{ - 5}{2} \times 0 + m](https://tex.z-dn.net/?f=%20-%205%20%3D%20%20%5Cfrac%7B%20-%205%7D%7B2%7D%20%5Ctimes%200%20%2B%20m)
m=-5
Try it with another point to see if you get the same answer. this time I'll pick (-6,10)
![10= \frac{ - 5}{2} \times( - 6)+ m](https://tex.z-dn.net/?f=%2010%3D%20%20%5Cfrac%7B%20-%205%7D%7B2%7D%20%5Ctimes%28%20-%206%29%2B%20m)
m= -5
The equation will be y=-5/2x-5)
Step-by-step explanation: For this question, we have to find out how much 15% off of 19.99 is by completing the following computations:
$19.99 x 0.15 = 2.9985
Now, let's deduct that amount off of $19.99 to get:
$19.99 - 2.9985 = $16.99
FINAL ANSWER: $16.99
Answer:
y = 36
Step-by-step explanation:
so there directly proportional..so lets make a proportion
if y = 9 when x = 5, what is the value of y when x = 20...
5 20
------ = ----- (cross multiply)
9 y
(5)(y) = (20)(9)
5y = 180
y = 180/5
y = 36 <=== so when x = 20, y = 36