Answer:
<h3>(-12, 2)</h3>
Step-by-step explanation:
![\left[\begin{array}{ccc}1&1\\2&3\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] =\left[\begin{array}{ccc}8\\36\end{array}\right] \\\\\left[\begin{array}{ccc}x+y\\2x+3y\end{array}\right] =\left[\begin{array}{ccc}8\\36\end{array}\right]\\.\qquad\qquad\Downarrow\\\left\{\begin{array}{ccc}x+y=8&|\text{multiply both sides by (-2)}\\2x+3y=36\end{array}\right](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%261%5C%5C2%263%5Cend%7Barray%7D%5Cright%5D%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%5C%5Cy%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C36%5Cend%7Barray%7D%5Cright%5D%20%5C%5C%5C%5C%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%2By%5C%5C2x%2B3y%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D8%5C%5C36%5Cend%7Barray%7D%5Cright%5D%5C%5C.%5Cqquad%5Cqquad%5CDownarrow%5C%5C%5Cleft%5C%7B%5Cbegin%7Barray%7D%7Bccc%7Dx%2By%3D8%26%7C%5Ctext%7Bmultiply%20both%20sides%20by%20%28-2%29%7D%5C%5C2x%2B3y%3D36%5Cend%7Barray%7D%5Cright)
82, 152, 222, 292, 362. You add 70 each time.
Answer: 196pi in.^2
Step-by-step explanation:
Divide the diameter by two.
You would get 14, then square it, you would get 196.
So we are given two points that the line crosses, the origin and (9, -3), we can calculate the slope m of the line with these data, dividing the y segment by the x segment:
m = (-3 - 0)/(9 - 0) = -3/9
m = -1/3
then we can use the point slope line equation to find the line equation, lets use the point origin (0,0) to do so:
y - y1 = m(x - x1), where x1, y1 are the coordinates of a point that the line crosses:
y - 0 = (-1/3)(x - 0)
y = <span>(-1/3)x
so this is the equation of the line, slope -1/3 and y intercept 0</span>
Answer:
30 degrees.
Step-by-step explanation:
Rotational symmetry is defined as a figure having the same appearance when rotated by a certain angle.
The wheel has 12 "handles." We can use these as reference points when rotating the image.
We also know that we can rotate by a total of 360 degrees. We can say that:
360/12 = 30 degrees.
Each time you rotate the wheel by 30 degrees, the image will end up on another handle (looks the same). This shows rotational symmetry.
I hope this helps!
