Answer:
A: (-9,-3)(-2,-4)(-5,-8)
B: (-5,2)(-1,-3)(3,2)
C: (4,-7)(-1,-3)(4,1)
D: (-1,-11)(-2,-4)(-6,-7)
Step-by-step explanation:
So of the transformations, translations are pretty much the easiest. x-1 just means move all coordinates left 1 and y-3 means move all coordinates down 3. So for the first one the x coordinate gets 1 subtracted from it and the y value gets 3 subtracted from it.
(-8,0) => (-8-1, 0-3) = (-9,-3)
I do recommend double checking though, for practice and in case I flubbed a calculation.
Answer:
The equation of the line would be y = 1/5x + 8
Step-by-step explanation:
Since the slope of k is -5, the slope of j has to be 1/5. This is because perpendicular lines have opposite and reciprocal slopes.
Now we can use the slope and the point in point-slope form to get the equation.
y - y1 = m(x - x1)
y - 9 = 1/5(x - 5)
y - 9 = 1/5x - 1
y = 1/5x + 8
We're not given the choices but we don't need them.
The only way this problem is tractable to a middle or high schooler is if the polynomial is perfect cube; a little thought yields
To find the inverse let's call f(x) x and call x y and solve for y.
![y-2 = \sqrt[3]{x}](https://tex.z-dn.net/?f=y-2%20%3D%20%5Csqrt%5B3%5D%7Bx%7D)
![y = 2 + \sqrt[3]{x}](https://tex.z-dn.net/?f=y%20%3D%202%20%2B%20%5Csqrt%5B3%5D%7Bx%7D)
<span><em>Partial product </em>multiplication is the process of multiplying the numbers partially (respectively to ones, tens and hundreds) and adding them together in the end. For example, in order to find the product of 3 8 × 6 we should write that,
1) 3 8
× 6
___
4 8
2) 3 8
× 6
_____
4 8
1 8 0
3) 3 8
× 6
______
+ 4 8
1 8 0
______
2 2 8
<em>Regrouping </em>is the multiplication process when we add the partial products to the next tens and hundreds and so on without writing them down. For example, in order to find the product of 3 8 × 6 with the help of regrouping, we write that
4
3 8
× 6
___
228
, where the number 4 above 8 shows the tens of 4 (40), which is going to be added to the tens of the product of 30 times 6. The two processes are the same in a way that you are getting the same result. In the end, it is a multiplication process. The processes differ because of the methods we apply. In partial product multiplication, we break down the number in its ones, tens, hundreds steps and then calculate. However, in regrouping process we consider those steps without breaking them down. </span>
Answer:
with what nothings there
Step-by-step explanation:
