The answer is c On a coordinate plane triangle A prime B prime C prime has points Negative 18,18
The formula of a slope:
![m=\dfrac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
We have the points A(-6, 6) and B(12, 3). Substitute:
![m=\dfrac{3-6}{12-(-6)}=\dfrac{-3}{18}=-\dfrac{3:3}{18:3}=-\dfrac{1}{6}](https://tex.z-dn.net/?f=m%3D%5Cdfrac%7B3-6%7D%7B12-%28-6%29%7D%3D%5Cdfrac%7B-3%7D%7B18%7D%3D-%5Cdfrac%7B3%3A3%7D%7B18%3A3%7D%3D-%5Cdfrac%7B1%7D%7B6%7D)
Therefore we have
.
Put the coordinates of the point B to the equation:
![3=-\dfrac{1}{6}(12)+b](https://tex.z-dn.net/?f=3%3D-%5Cdfrac%7B1%7D%7B6%7D%2812%29%2Bb)
<em>add 2 to both sides</em>
![5=b\to b=5](https://tex.z-dn.net/?f=5%3Db%5Cto%20b%3D5)
Answer:
![m=-\dfrac{1}{6}\\\\b=5](https://tex.z-dn.net/?f=m%3D-%5Cdfrac%7B1%7D%7B6%7D%5C%5C%5C%5Cb%3D5)
A because the table doesn’t have a constant rate of change
Answer:
The savings of Sid and Tim will be in 17:9 in 6 weeks.
Step-by-step explanation:
Initial savings of Sid = £ 13
Initial savings of Tim = £ 0
For each successive week Sid saved = £ 3.5
For each successive week Tim saved = £ 3
Let us assume that after "x weeks" the amounts of Sid and Tim are in ratio 17:9.
If Sid saves £ 3.5 in one week, in x weeks he will £ 3.5x. Since he had £ 13 initially, total amount he would have in x weeks will be £ (13 + 3.5x)
If Time saves £ 3 one week, in x weeks he will save £ 3x. Since, he didn't have any money initially, in x weeks he would have saved £ 3x
The ratio of their savings in x weeks would be 17:9
So,
Sid's saving : Tim's saving = 17 : 9
Using the values of expressions, we get:
![13+3.5x:3x=17:9\\\\\frac{13+3.5x}{3x}=\frac{17}{9}\\\\ 9(13+3.5x)=17(3x)\\\\ 117+31.5x=51x\\\\ 117=51x-31.5x\\\\ 117=19.5x\\\\ x=\frac{117}{19.5}\\\\ x=6](https://tex.z-dn.net/?f=13%2B3.5x%3A3x%3D17%3A9%5C%5C%5C%5C%5Cfrac%7B13%2B3.5x%7D%7B3x%7D%3D%5Cfrac%7B17%7D%7B9%7D%5C%5C%5C%5C%209%2813%2B3.5x%29%3D17%283x%29%5C%5C%5C%5C%20117%2B31.5x%3D51x%5C%5C%5C%5C%20117%3D51x-31.5x%5C%5C%5C%5C%20117%3D19.5x%5C%5C%5C%5C%20x%3D%5Cfrac%7B117%7D%7B19.5%7D%5C%5C%5C%5C%20x%3D6)
This means, the savings of Sid and Tim will be in 17:9 in 6 weeks.