Answer:
B. -4
Step-by-step explanation:
When dilation is not about the origin then in order to find the scalar factor, we need to find the ratio of the corresponding lengths.
2 Vertices of smaller triangle (Pre-image):
Length of side:
Since distance is always positive so its 2 units.
2 Vertices of bigger triangle(Image):
Length of side:
Since distance is always positive so its 8 units.
For the given figure we see that the dilated image is rotated 180° from the original position. Thus, for such dilation the scalar factor is taken negative.
Thus the scalar factor can be calculated as:
Scalar factor = 
Scalar factor =-4
We'll say that months = n.
Make a set of the DVD's sold:
In month 1, Aaron sold 20 DVDs. There is no data for month 0.
There is a constant increase of 30 DVDs every month. We can make an equation out of this to fit this data set:
a represents the DVDs made.
We need to subtract 10 in this equation, as the starting point is 20, and the increase of 30 is different from the increase from n = 0 to n = 1.
We are looking for the amount of DVDs Aaron sold on the 13th month. Plug 13 into the equation:
The predicted number of DVDs Aaron will sell on the 13th month is
380.
Hope this helps
Perimeter=Side a+Side b+Side c
Answer:
c. x ≈ 1.71, y ≈ 6.29, z ≈ 60.71
Step-by-step explanation:
You are at a bit of a disadvantage with this problem, because both the hint and the answer choices are incorrect.
The matrix equation is ...
![AX=B\\\\\left[\begin{array}{ccc}-1&1&0\\4&3&0\\1&-7&1\end{array}\right]\left[\begin{array}{c}x&y&z\end{array}\right]=\left[\begin{array}{c}8&12&15\end{array}\right]](https://tex.z-dn.net/?f=AX%3DB%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-1%261%260%5C%5C4%263%260%5C%5C1%26-7%261%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D8%2612%2615%5Cend%7Barray%7D%5Cright%5D)
Contrary to what the hint is telling you, the multiplication by the inverse must be on the left:
Using appropriate tools to compute the inverse, this becomes ...
![\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{ccc}-3&1&0\\4&1&0\\31&6&7\end{array}\right]\left[\begin{array}{c}8&12&15\end{array}\right]\\\\\left[\begin{array}{c}x&y&z\end{array}\right]=\dfrac{1}{7}\left[\begin{array}{c}-12&44&425\end{array}\right]\approx\left[\begin{array}{c}-1.714&6.286&60.714\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B1%7D%7B7%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-3%261%260%5C%5C4%261%260%5C%5C31%266%267%5Cend%7Barray%7D%5Cright%5D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D8%2612%2615%5Cend%7Barray%7D%5Cright%5D%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7Dx%26y%26z%5Cend%7Barray%7D%5Cright%5D%3D%5Cdfrac%7B1%7D%7B7%7D%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-12%2644%26425%5Cend%7Barray%7D%5Cright%5D%5Capprox%5Cleft%5B%5Cbegin%7Barray%7D%7Bc%7D-1.714%266.286%2660.714%5Cend%7Barray%7D%5Cright%5D)
The closest match is choice C.
Answer:
The answer is 359
Step-by-step explanation:
7³ + 2⁴
343 + 16 = 359
Thus, The answer is 359
<u>-TheUnknownScientist 72</u>
