Here is how I would show the work for this problem
5- (a-4) = 3 (a+2)
5-a+4 = 3*a+3*2
5-a+4 = 3a+6
-a+9 = 3a+6
-a+9+a = 3a+6+a
9 = 4a+6
9-6 = 4a+6-6
3 = 4a
4a = 3
4a/4 = 3/4
a = 3/4
So the solution is the fraction a = 3/4 (in decimal form 0.75)
Let me know if you have any questions or issues with any of the steps shown above. It's a lot to take in so feel free to ask about anything really.
The first and last one are true!
You can see that the area of the blue rug is 2*2 or 4. The area of the rug needed to cover the stain will have to be 4*4 or 16. This means that the original rug will need to be dilated by 4 to cover the stain (4 (original) times 4 = 16 (new))
Answer:
1.5$
Step-by-step explanation:
10 cupcakes =15$
so, 1 cupcake = 15/10
i.e. 1.5
.: 1cupcake cost = 1.5$
If rectangle ABCD, defined by the coordinates A(0, 0), B(0, -4), C(-2, -4), D(-2, 0), is dilated by a scale factor of 2, with re
notsponge [240]
Answer:
D) (-2, -4).
Step-by-step explanation:
Let 
be the center of dilation. Imagine that is the center of origin of a new Cartesian Plane. What would the coordinates of point A and A' on the new plane?
Dilating 
about the "origin" of the new plane by a factor of two will give the point 
, also on the new plane.
For coordinates of A' on the original plane,
.
As a result,
.
.
.
In other words, 
is the center of dilation.
⇒
.