Answer:
Two plus two is four.
Step-by-step explanation:
Imagine you have two cookies. Then imagine you have two more cookies.
cookie cookie
then you add
cookie cookie
How many cookies do you have now?
We are given coordinate of K point (7,4).
We need to find the new coordinate of K' point.
Given rule is K' = Ro 270°^(k).
That represents rotation of k 270 degree about the origin.
<em>The rule for rotation of 270 degree about the origin is as following:</em>
<em>(x, y) --------> (y, -x).</em>
Now, applying same rule on point (7,4).
(7,4) -----------> (4,-7).
<h3>Therefore, the coordinates of k' is (4,-7).</h3><h3>Correct option is A. (4,-7).</h3>
Answer:
the lower right matrix is the third correct choice
Step-by-step explanation:
Your problem statement shows that you have correctly selected the matrices representing the initial problem setup (middle left) and the problem solution (middle right).
Of the remaining matrices, the upper left is an incorrect setup, and the lower left is an incorrect solution matrix.
__
We notice that in the remaining matrices on the right that the (2,3) term is 0, and the (3,2) and (3,3) terms are both 1.
The easiest way to get a 0 in the 3rd column of row 2 is to add the first row to the second. When you do that, you get ...
![\left[\begin{array}{ccc|c}1&1&1&29000\\1+2&1-3&1-1&1000(29+1)\\0&0.15&0.15&2100\end{array}\right] =\left[\begin{array}{ccc|c}1&1&1&29000\\3&-2&0&30000\\0&0.15&0.15&2100\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%261%261%2629000%5C%5C1%2B2%261-3%261-1%261000%2829%2B1%29%5C%5C0%260.15%260.15%262100%5Cend%7Barray%7D%5Cright%5D%20%3D%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Cc%7D1%261%261%2629000%5C%5C3%26-2%260%2630000%5C%5C0%260.15%260.15%262100%5Cend%7Barray%7D%5Cright%5D)
Already, we see that the second row matches that in the lower right matrix.
The easiest way to get 1's in the last row is to divide that row by 0.15. When we do that, the (3,4) entry becomes 2100/0.15 = 14000, matching exactly the lower right matrix.
The correct choices here are the two you have selected, and <em>the lower right matrix</em>.
Heya!
Your question states: Solve for x in simplest form 15 = 1/3(x+9)
Answer: X = 36
<em>Numerical Explanation:</em>
1. Step by step
I. 15 = 1/3(x+9)
2. Simplify both sides of the equation:
II. 15 = 1/3x + 3
3. Flip the equation:
III. 1/3x + 3 = 15
4. Subtract 3 from both sides:
IV. 1/3 x +3 = 15
-3 -3
5. Multiply both sides by 3:
V. 3 * (1/3 x) = (3) * (12)
6. Final answer:
VI. x = 36
I Hoped I Helped!
~KINGJUPITER
You would multiply by -4/3. That's cuz to get to 1, you have to cancel out the negative, with another negative. You then have to multiply by the reciprocal.
Hope this helps!
