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:
![\mathbf{(x,y) \to (k_x, k_y)}](https://tex.z-dn.net/?f=%5Cmathbf%7B%28x%2Cy%29%20%5Cto%20%20%28k_x%2C%20k_y%29%7D)
where;
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:
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:
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Answer:
$103968.11
Step-by-step explanation:
Given information:
Principal amount = $240,000
Rate of interest = 1.2% = 0.012
Number of years = 30
Number of times in an year = 24
Formula for amount:
where
P is principal, r is rate of interest, t is number of years, n is number of times interest compounded in a year.
Now,
Hence, the interest is $103968.11.
The number added to the polynomial by completing the square is ![\frac{289}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B289%7D%7B4%7D)
Explanation:
Given that the polynomial is ![x^{2} +17x](https://tex.z-dn.net/?f=x%5E%7B2%7D%20%2B17x)
We need to determine the number that is added to the polynomial to complete the square.
The last term of the polynomial can be determined by dividing the term 17 by 2 and then squaring the term.
Thus, we have,
Last term = ![\frac{17}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B17%7D%7B2%7D)
Now, squaring the term, we have,
Last term = ![(\frac{17}{2})^2=\frac{289}{4}](https://tex.z-dn.net/?f=%28%5Cfrac%7B17%7D%7B2%7D%29%5E2%3D%5Cfrac%7B289%7D%7B4%7D)
Thus, the number added to the polynomial by completing the square is ![\frac{289}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B289%7D%7B4%7D)
Let, the number of students who applied for school = x
Then, it would be: x * 15% = 1800
x * 0.15 = 1800
x = 1800 / 0.15
x = 12,000
In short, Your Answer would be 12,000 students applied for that
Hope this helps!