Answer:
( 2,1) is the center of dilation and -2 is the scale factor
Step-by-step explanation:
We can use the formula
A' = k( x-a) +a, k( y-b)+b where ( a,b) is the center of dilation and k is the scale factor
(0,0) becomes (6,3)
( 6,3) = k( 0-a) +a, k( 0-b)+b
6 = -ka+a
3 = -kb+b
We also have
(4,0) becomes (-2,3)
( -2,3) = k( 4-a) +a, k( 0-b)+b
-2 =4k -ka+a
3 = -kb+b
Using these two equations
6 = -ka+a
-2 =4k -ka+a
Subtracting the top from the bottom
-2 =4k -ka+a
-6 = ka -a
-------------------
-8 = 4k
Divide by 4
-8/4 = 4k/4
-2 = k
Now solving for a
6 = -ka +a
6 = - (-2)a +a
6 = 2a+a
6 = 3a
Divide by 3
6/3 =3a/3
2=a
Now finding b
3 = -kb+b
3 = -(-2)b+b
3 = 2b+b
3 = 3b
b=1
Answer:
A. The relationship is proportional.
C. The slope is negative.
✓ A. The relationship is proportional.
-> We have a one to one proportion because the relationship is linear
✗ B. The slope is –6.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✓ C. The slope is negative.
-> Because the line is going from top left to bottom right the line is negative
✗ D. The y-intercept is –3.
-> The slope is -3/2, not -3
-> We can pick a point, and then we count down 3 and over 2 to the next point
✗ E. The equation of the line is y = –3x.
-> Again, the slope should be -3/2, not -3
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Answer:
Step-by-step explanation:
Firstly, move over the negative 3/4 fraction (don't forget to swap the operation i.e subtract to add):
Now, to add the two fractions, simply multiply the numerator and denominator by 3:
Now add this to the other fraction:
This can be simplified down by dividing both the numerator and denominator by 4:
Which now simplifies the original equation to:
Remove the y out of the fraction:
Now multiply both sides by 8:
Hope this helps!
-vp+40<95
subtract 40 from each side
-vp < 55
divide by -p (which flips the inequality) assuming p>0
v > -55/p
Let g represent video games. The equation you can use to solve for the amount of video games and CDs Jasmine can buy with her savings is:
43g+72=1128
The 43g part is because it costs 43 dollars for every video game, so you need to multiply 43 by the amount of games she buys to get the total for g games.
The +72 part is because you already have the amount spent on CDs, and needs to be added to the cost of video games, so that the sum would be equal to 1128.
Now, solving:
43g+72=1128 ...subtract 72 from both sides
43g=1056 ...divide both sides by 43 to isolate g
g=24.5581395349
Rounded up, that would be 25 games, but Jasmine's savings isn't enough to buy 25 games that cost $43 each, so you would go down to 24 games.
The answer: Jasmine can buy 24 games with her savings after spending $72 on CDs.
