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In the polygon ABCD, the production of point A' and point D' is (-2,-2) and (4,-2) respectively.
<h3>What is the transformation rule?</h3>In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:
where;
- k = scale factor
From the given information:
- The scale factor = 2
- the origin as a center of dilation for image vertices = (0, 0)
Now, using the coordinate vertices:
- A = (-1, -1)
- D = (2, -1)
The corresponding coordinate of the image vertices is as follows:
A(-1,-1) → A'(2 × (-1), 2 × (-1))
A' = (-2,-2)
D(2,-1) → A'(2 × (2), 2 × (-1))
D' = (4,-2)
Learn more about the transformation rule in coordinate planes here:
#SPJ1
Answer: 120, 60, 180
Step-by-step explanation:
1) Area of a rectangle's formula is:
l × w
So, looking at the diagram, we get:
6 × 20 = 120 cm²
2) Area of a trapezoid's formula is:
× h (where both a and b are the different base lengths)
So, looking at the diagram, we get:
× 4 = 60 cm²
3) Add both to find the area of the entire figure.
120 + 60 = 180 cm²
Answer:
$5265.71
Step-by-step explanation:
We have been given that you deposit $3000 into a money-market savings account which pays 4.8% compounded quarterly.
We will use future value formula to solve our given problem.
, where,
,
r = Rate of return in decimal form,
n = Number of periods.
Therefore, there will be $5265.71 in your account at the end of those 3 years.