Note: Consider the below figure attached with this question.
Given:
The ordered pair(6,y) is on line AC.
To find:
The y of this ordered pair.
Solution:
From the below figure it is clear that endpoints of AC are A(-7,-4) and C(1,4). So, equation of AC is
![y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)](https://tex.z-dn.net/?f=y-y_1%3D%5Cdfrac%7By_2-y_1%7D%7Bx_2-x_1%7D%28x-x_1%29)
![y-(-4)=\dfrac{4-(-4)}{1-(-7)}(x-(-7))](https://tex.z-dn.net/?f=y-%28-4%29%3D%5Cdfrac%7B4-%28-4%29%7D%7B1-%28-7%29%7D%28x-%28-7%29%29)
![y+4=\dfrac{4+4}{1+7}(x+7)](https://tex.z-dn.net/?f=y%2B4%3D%5Cdfrac%7B4%2B4%7D%7B1%2B7%7D%28x%2B7%29)
![y+4=\dfrac{8}{8}(x+7)](https://tex.z-dn.net/?f=y%2B4%3D%5Cdfrac%7B8%7D%7B8%7D%28x%2B7%29)
![y+4=x+7](https://tex.z-dn.net/?f=y%2B4%3Dx%2B7)
Subtracting 4 from both sides, we get
![y+4-4=x+7-4](https://tex.z-dn.net/?f=y%2B4-4%3Dx%2B7-4)
![y=x+3](https://tex.z-dn.net/?f=y%3Dx%2B3)
Thus, the equation of line AC is
.
Put x=6 to find the y for the ordered pair (6,y).
![y=6+3](https://tex.z-dn.net/?f=y%3D6%2B3)
![y=9](https://tex.z-dn.net/?f=y%3D9)
Therefore, the value of y is 9.
<u><em>Answer:</em></u>
There are 7 zeroes in the standard form of 10⁷
The number is: 10,000,000
<u><em>Explanation:</em></u>
<u>A power</u> represents how many times this number is multiplied by itself
<u>For example:</u>
x² means we will multiply x by itself 2 times (x * x)
x⁵ means we will multiply x by itself 5 times (x * x * x * x * x)
<u>The standard form</u> of a number means the number written with no powers
Now, the given number is 10⁷
<u>This means that:</u>
The number is 10 multiplied by itself 7 times
10⁷ = 10 × 10 × 10 × 10 × 10 × 10 × 10 = 10000000 .........> standard form
We can observe that it has 7 zeroes
Hope this helps :)
The cost of the car on the third year was $20,700.