The absolute value of -81 has the same absolute value as that of 81 because they both have the same distance to 0.
Given:
Two points are A(6,1) and B(9,4).
To find:
The equation of the line that passes through the given points.
Solution:
If a line passes through two points
and
, then the equation of the line 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)
It is given that the line passes through the two points A(6,1) and B(9,4). So, the equation of the line is:
![y-1=\dfrac{4-1}{9-6}(x-6)](https://tex.z-dn.net/?f=y-1%3D%5Cdfrac%7B4-1%7D%7B9-6%7D%28x-6%29)
![y-1=\dfrac{3}{3}(x-6)](https://tex.z-dn.net/?f=y-1%3D%5Cdfrac%7B3%7D%7B3%7D%28x-6%29)
![y-1=1(x-6)](https://tex.z-dn.net/?f=y-1%3D1%28x-6%29)
![y-1=x-6](https://tex.z-dn.net/?f=y-1%3Dx-6)
Adding 1 on both sides, we get
![y-1+1=x-6+1](https://tex.z-dn.net/?f=y-1%2B1%3Dx-6%2B1)
![y=x-5](https://tex.z-dn.net/?f=y%3Dx-5)
Therefore, the equation of the line is
.
Answer:
The area is 21 inches
Step-by-step explanation:
3x3=9
3x2=6
9+6=15 ( inches in the white box )
6x6=36 ( area of the whole box)
36-15= 21 ( inches in the shaded area )
For a rectangle:A = Length x WidthL = W + 6A = ( W + 6 ) x WA = W² + 6 WW² + 6 W - 667 = 0W 1/2 = ( - 6 +/- √(6² - 4 · 1 · (-667)) / 2W 1/2 = ( - 6 +/- √ ( 36 + 2,668 ) ) / 2W = ( - 6 + √2,704 ) / 2 ( another solution is negative )W = ( - 6 + 52 ) / 2W = 46 / 2 W = 23 inches ( at least )If we want to prove it: W = 23, L = 23 + 6 = 2923 x 29 = 667
Answer: The possible widths are 23 inches and more.
No because a ratio is a pattern in a table that can be repeated it doesn't work if it is backwards