<h3>
Answer: Choice A) <9,0></h3>
Explanation:
Focus on one of the points in the figure on the left. Let's say we go for the upper left corner point (-7, 4)
Notice it moves to the corresponding image point (2,4). It has shifted 9 units to the right to follow the translation rule
. We've added 9 to the x coordinate, and the y coordinate stays the same.
This notation can be shortened to <9, 0>
In general, the notation
is shortened to the translation vector notation
. In this case, a = 9 and b = 0.
Given the equation:

We will use the following rule to find the solution to the equation:
![x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
From the given equation: a = 6, b = 7, c = 2
So,
![\begin{gathered} x=\frac{-7\pm\sqrt[]{7^2-4\cdot6\cdot2}}{2\cdot6}=\frac{-7\pm\sqrt[]{1}}{12}=\frac{-7\pm1}{12} \\ x=\frac{-7-1}{12}=-\frac{8}{12}=-\frac{2}{3} \\ or,x=\frac{-7+1}{12}=-\frac{6}{12}=-\frac{1}{2} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20x%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B7%5E2-4%5Ccdot6%5Ccdot2%7D%7D%7B2%5Ccdot6%7D%3D%5Cfrac%7B-7%5Cpm%5Csqrt%5B%5D%7B1%7D%7D%7B12%7D%3D%5Cfrac%7B-7%5Cpm1%7D%7B12%7D%20%5C%5C%20x%3D%5Cfrac%7B-7-1%7D%7B12%7D%3D-%5Cfrac%7B8%7D%7B12%7D%3D-%5Cfrac%7B2%7D%7B3%7D%20%5C%5C%20or%2Cx%3D%5Cfrac%7B-7%2B1%7D%7B12%7D%3D-%5Cfrac%7B6%7D%7B12%7D%3D-%5Cfrac%7B1%7D%7B2%7D%20%5Cend%7Bgathered%7D)
So, the answer will be option B) x = -1/2, -2/3
Answer:
B. 11
Step-by-step explanation:
Every line with a mark is 11.
so in the image attached you can see that all you need to do is plug in the numbers
x
→ 11
Y2-y1/x2-x1
4-6/10-1
-2/9 is the slope
y-y1=m(x-x1)
y-6=-2/9(x-1)
y-6=-2/9x-2/9
Multiply both sides by 9
9y-54=-2x-2
2x+9y=52
Therefore 2x+9y=52 is the equation