Write a translation rule that maps point D(7, -3) onto point D'(2, 5)
2 answers:
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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.
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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 ...
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>.
*If you need me to do #5, DM me!
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².
3. The area of a triangle can be given by (just plug and chug as always):
The area of the triangle is 6ft².
4. I will divide into a triangle and a rectangle (because the actual equation for the area of a pentagon requires it to be a perfect pentagon). Let's do the triangle first (height is 3 because you subtract 12 from 15):
Now we just add them:
So, the area of that pentagon is 108m².
5. You are actually wrong on this one because the area of a triangle is:
So, just halve your answer and it will be correct.
6. We can just split it into 4 triangles of equal area and then multiply the area of 1 triangle by 4 to get the total area. Let's do just that:
Multiply by 4 to get total area:
So, the area of the given rhombus is 25cm².