G. The shape would be similar since dilation at the origin is just a translation and a translation doesn't affect the shape's size or shape.
h. They will still be similar because adding length to each side will just make the shape larger, and if the shape hasn't changed (which it hasn't) it will remain similar.
I. This is simple, just write an equation of the changes you could do the shape and it would be similar. You would have to explain how many you should move and from which sides (should be all sides). It is better for you to do this because there are millions of possible equations, and if you use the same one then it might be striked.
Answer:
The equation that represents the graph is y = 40x
The new equation would be y = 45x
Step-by-step explanation:
As y increases by 40, x increases by 1, so 40/1, or 40
New equation: $90 per 2 months, y = 90, x = 2, 90/2 = 45
Answer:
C
Step-by-step explanation:
I am guessing that's it.
After 5 years the amount in the account will be $ 487.
<u>Step-by-step explanation:</u>
Compound Interest, A = 
Where A denotes the investment's future value
P is the Principal amount = $ 400.00
r is the rate of interest annually in decimals = 0.04
n is the no. of times the interest is compounded per unit time, t = 1
t - the number of years or days or months the amount is invested = 5 years
Now we have to plug in those values in the above formula as,
A = 
= 400(1+ 0.04)⁵
= 400(1.04)⁵
= 486.66 ≈ $ 487
The rule that describes this transformation is (x - 3, y + 1)
Step-by-step explanation:
Step 1:
The points of the trapezoid are
M; (-3, -1),
N; (-4, 3),
P; (1, 3), and
Q; (-1, -1).
Step 2:
To translate the points to 3 units on the left, we subtract the x coordinate by 3 because it is moved to the left. So x becomes x - 3.
In order to translate the points to 1 unit up, we add 1 to the y coordinate as it is moved in the positive direction of y. So y becomes y + 1.
Combining these we get (x, y) becomes (x - 3, y + 1).
