Answer:
answer C
Step-by-step explanation:
Answer:
X= 3y-8
Where
X represent hours worked by Kelly
Y represent hours worked by Marcy
Step-by-step explanation:
Kelly works 8 hours less than three times as much as Marcy works for the week.
Let the number of hours worked by Kelly= x
Let the number of hours worked by Marcy= y
X= 3y-8
Foil it out:
(7x)(4x)+(7x)(9)+(-8)(4x)+(-8)(9)
28x^2+63x-32x-72
28x^2+31x-72
You can verify that Point X, with coordinate of (6,6) divides in a 1:2 ratio by finding the distance between points A and B. Doing so, you will find that the distance between points A and B is equal to 12, so 6 is half of 12. Therefore, the point (6,6) or X is halfway between points A and B(12), making the ratio 6:12 or simplified to 1:2.
Answer:
The scale factor is 1/3
Explanation:
Given that the original point is has coordinates (x,y) and that the dilated point has coordinates (x',y'), we can see that:
x' = k * x
y' = k * y
where k is the scale factor
Now, for the given point we have:
original point = (6 , -3)
dilated point = (2 , -1)
Now, applying the above formula, we will find that:
For x-coordinate:
2 = k * 6
k = 2/6
k = 1/3
Check using the y-coordinate:
-1 = k * -3
k = -1 / -3
k = 1/3
From the above, we can confirm that:
k = 1/3
Hope this helps :)
