Answer:
translation 2 units left
; reflection across the y-axis
Step-by-step explanation:
The y-coordinates of the points do not change from the pre-image to the image. This means there is no translation down (this would add or subtract to the y-coordinates) and no reflection across the x-axis (this would negate the y-coordinates).
This leaves us with a translation 2 units left and a reflection across the y-axis.
The translation 2 units left adds 2 to the x-coordinates, and the reflection across the y-axis negates the x-coordinates. If we add 2 first, the coordinates would be (-4+2, 6) = (-2, 6); (-2+2, 2) = (0, 2); and (-6+2, 2) = (-4, 2).
Negating each of these would give us (2, 6); (0, 2); and (4, 2). These are the desired image coordinates.
Step-by-step explanation:
![9x^{2} - 9 (a + b)x + 2a^{2} + 5ab + 2b^{2} = 0\\9x^{2} - 3[(3a + 3b)]x + 2a^{2} + 4ab +ab + 2b^{2} = 0\\9x^{2} - 3[(a + 2b) + (2a + b)]x + 2a[a + 2b] + b [a + 2b] = 0\\9x^{2} - 3(a + 2b)x - 3 (2a + b) + (a + 2b)(2a + b) = 0\\3x [3x - (a + 2b)] -(2a + b)[3x - (a + 2b)]=0\\\:\: [3x - (a + 2b)] - [3x - (2a + b)] = 0\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{2a + b}{3} }}\\\\\\\\\circ\:3x - (2a + b) = 0\\\boxed{\underline{x = \frac{a + 2b}{3} }}](https://tex.z-dn.net/?f=9x%5E%7B2%7D%20-%209%20%28a%20%2B%20b%29x%20%2B%202a%5E%7B2%7D%20%2B%205ab%20%2B%202b%5E%7B2%7D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%5B%283a%20%2B%203b%29%5Dx%20%2B%202a%5E%7B2%7D%20%2B%204ab%20%2Bab%20%2B%202b%5E%7B2%7D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%5B%28a%20%2B%202b%29%20%2B%20%282a%20%2B%20b%29%5Dx%20%2B%202a%5Ba%20%2B%202b%5D%20%2B%20b%20%5Ba%20%2B%202b%5D%20%3D%200%5C%5C9x%5E%7B2%7D%20-%203%28a%20%2B%202b%29x%20-%203%20%282a%20%2B%20b%29%20%20%2B%20%28a%20%2B%202b%29%282a%20%2B%20b%29%20%3D%200%5C%5C3x%20%5B3x%20-%20%28a%20%2B%202b%29%5D%20-%282a%20%2B%20b%29%5B3x%20-%20%28a%20%2B%202b%29%5D%3D0%5C%5C%5C%3A%5C%3A%20%5B3x%20-%20%28a%20%2B%202b%29%5D%20-%20%5B3x%20-%20%282a%20%2B%20b%29%5D%20%3D%200%5C%5C%5C%5C%5C%5C%5C%5C%5Ccirc%5C%3A3x%20-%20%282a%20%2B%20b%29%20%3D%200%5C%5C%5Cboxed%7B%5Cunderline%7Bx%20%3D%20%5Cfrac%7B2a%20%2B%20b%7D%7B3%7D%20%7D%7D%5C%5C%5C%5C%5C%5C%5C%5C%5Ccirc%5C%3A3x%20-%20%282a%20%2B%20b%29%20%3D%200%5C%5C%5Cboxed%7B%5Cunderline%7Bx%20%3D%20%5Cfrac%7Ba%20%2B%202b%7D%7B3%7D%20%7D%7D)
So, the roots are:
<u>1) x = 2a + b/3</u>
<u>2) x = a + 2b/3</u>
_________
Hope it helps!
◇ Please refer to the attachment if the latex code shows some error.
Answer:
Yes
Step-by-step explanation:
Multiplicative Inverse of rational number:
When we multiply a rational number and its multiplicative inverse, we get 1
Now,multiply this with (3/-17)
So, -5 2/3 is the multiplicatice inverse of 3/-17
What homework are you talking about
I can help you but I don’t know what to help you with.
A number cube contains the numbers 1-6. Without counting the numbers that are less than two, you will get 3, 4, 5, and 6.
