First find the length of the diagonal of a square of side 4 inches:
d^2 = 4^2 + 4^2 = 2*4^2 = 32. Then the diagonal of the cube has length
sqrt( 32 + 4^2) = sqrt(32+16) = sqrt(48) = 4sqrt(3).
The value of
and ![b = 5](https://tex.z-dn.net/?f=b%20%3D%205)
<u>Solution:</u>
Given, Line passes through points ![A(-6,6) = (x_1, y_1); \ B(12,3) = (x_2 , y_2)](https://tex.z-dn.net/?f=A%28-6%2C6%29%20%3D%20%28x_1%2C%20y_1%29%3B%20%5C%20B%2812%2C3%29%20%3D%20%28x_2%20%2C%20y_2%29)
Slope of line passing through two points is ![m = \frac{(y_2-y_1)}{(x_2-x_1)}](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B%28y_2-y_1%29%7D%7B%28x_2-x_1%29%7D)
![\rightarrow \frac{(3-6)}{(12- (-6))}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cfrac%7B%283-6%29%7D%7B%2812-%20%28-6%29%29%7D)
![\rightarrow \frac{-3}{18} = \frac{-1}{6}](https://tex.z-dn.net/?f=%5Crightarrow%20%5Cfrac%7B-3%7D%7B18%7D%20%3D%20%5Cfrac%7B-1%7D%7B6%7D)
Equation of a straight line passing through point-slope form is ![y - y1 = m (x - x1) --- (1)](https://tex.z-dn.net/?f=y%20-%20y1%20%3D%20m%20%28x%20-%20x1%29%20---%20%281%29)
Since we have two points we can use any point. Let us take
and m
and substitute in (1)
![\Rightarrow y - 6 = \frac{-1}{6 (x - (-6))}](https://tex.z-dn.net/?f=%5CRightarrow%20y%20-%206%20%3D%20%5Cfrac%7B-1%7D%7B6%20%28x%20-%20%28-6%29%29%7D)
![\Rightarrow y - 6 = \frac{-1}{6x -1}](https://tex.z-dn.net/?f=%5CRightarrow%20y%20-%206%20%3D%20%5Cfrac%7B-1%7D%7B6x%20-1%7D)
[By equating as
]
![m = \frac{-1}{6} ; b = 5](https://tex.z-dn.net/?f=m%20%3D%20%5Cfrac%7B-1%7D%7B6%7D%20%3B%20b%20%3D%205)
Substituting the other coordinates also gives the same result.
Answer:
7/12 + 2q/3
Step-by-step explanation:
11/12 - 1/3
= 11/12 - 4/12
=(11-4)/12
= 7/12
All the picture:
11/12 - 1q/6 + 5q/6 - 1/3
= 11/12 - 1/3 - 1q/6 + 5q/6
= 7/12 + 4q/6
= 7/12 + 2q/3
Answer:
=
(Decimal: 3.160494)
Step-by-step explanation:
![(\frac{3}{4} )^-4](https://tex.z-dn.net/?f=%28%5Cfrac%7B3%7D%7B4%7D%20%29%5E-4)
![(\frac{4}{3} )^4](https://tex.z-dn.net/?f=%28%5Cfrac%7B4%7D%7B3%7D%20%29%5E4)
![\frac{4^4}{3^4}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5E4%7D%7B3%5E4%7D)
=
(Decimal: 3.160494)
:)
I hope this helps
Answer:
the y-intercept is 2.
Step-by-step explanation:
If you find the rate of change, which in this case is 1/-4, you can reverse the rate of change.
1 and -2
-1 (instead of adding 1) to x
+4 (instead of subtracting) to y
you get (0, 2).
Making the y-intercept 2.