10x+14>-230
-14 -14
10x>244
/10 /10
x>24.4
Answer:
Step-by-step explanation:
From the figure attached,
Coordinates of the vertices of the given rectangle ABCD,
A(3, 6), B(12, 6), C(12, 1) and D(3, 1)
Rule for the reflection of a point across x-axis,
(x, y) → (x, -y)
After reflection of the given rectangle across x-axis image points will be,
A(3, 6) → A'(3, -6)
B(12, 6) → B'(12, -6)
C(12, 1) → C'(12, -1)
D(3, 1) → D'(3, -1)
Now we can plot these points on the graph to get the image of rectangle ABCD.
The chips ahoy are the better deal
The formula for compound interest is : A = P(1+r/n)^nt
A = 4000 (1+0.021/4)^4x4
A = 4000 (1.021)^16
A = 5,577.91
Sergio's total interest would be : 5,577.91 - 4,000 = $ 1,577.91
hope this helps
Answer:
B' = (-4, -4)
Step-by-step explanation:
<u>Dilation</u>: A type of transformation that makes the pre-image larger or smaller without changing its shape.
<u>Center of a dilation</u>: a fixed point about which all points are dilated.
Given:
- A = (1, 2)
- B = (-1, -1)
- C = (0, -2)
- Scale factor = 4
For dilation when the <u>center of dilation</u> is the origin (0, 0), simply multiply the coordinates of the vertices of the pre-image by the given scale factor to find the image under dilation:
Therefore:
A' = (1 x 4, 2 x 4) = (4, 8)
B' = (-1 x 4, -1 x 4) = (-4, -4)
C' = (0 x 4, -2 x 4) = (0, -8)