Question:
Fill in the blank.
23 x 6 = (20 + 3) * 6
23 x 6 = _ + (3x6)
Options
20 * 6
20 * 3
20 * 5
Answer:
20 * 6
Step-by-step explanation:
Given
Expression 1: 23 * 6 = (20 + 3) * 6
Expression 2: 23 * 6 = __ + (3 * 6)
Required
Fill in the blank
From Expression 1
23 * 6 = (20 + 3)*6
Using Distributive Property; The expression becomes
23 * 6 = 20 * 6 + 3 * 6
23 * 6 = (20 * 6) + (3 * 6)
By Comparing this with expression 2
23 * 6 = __ + (3 * 6)
The blank position is occupied by 20 * 6.
Hence, the correct option that fills the missing blank correctly is 20 * 6
Answer:
![\displaystyle y=-\frac{1}{2}x+4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B4)
Step-by-step explanation:
<u>Equation of a Line</u>
We can find the equation of a line by using two sets of data. It can be a pair of ordered pairs, or the slope and a point, or the slope and the y-intercept, or many other combinations of appropriate data.
We are given a line
![y - 12 = 2x -8](https://tex.z-dn.net/?f=y%20-%2012%20%3D%202x%20-8)
And are required to find a line perpendicular to that line. Let's find the slope of the given line. Solving for y
![y = 2x +4](https://tex.z-dn.net/?f=y%20%3D%202x%20%2B4)
The coefficient of the x is the slope
![m=2](https://tex.z-dn.net/?f=m%3D2)
The slope of the perpendicular line is the negative reciprocal of m, thus
![\displaystyle m'=-\frac{1}{2}](https://tex.z-dn.net/?f=%5Cdisplaystyle%20m%27%3D-%5Cfrac%7B1%7D%7B2%7D)
We know the second line passes through (2,3). That is enough information to find the second equation:
![y-y_o=m'(x-x_o)](https://tex.z-dn.net/?f=y-y_o%3Dm%27%28x-x_o%29)
![\displaystyle y-3=-\frac{1}{2}(x-2)](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y-3%3D-%5Cfrac%7B1%7D%7B2%7D%28x-2%29)
Operating
![\displaystyle y=-\frac{1}{2}(x-2)+3](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B1%7D%7B2%7D%28x-2%29%2B3)
Simplifying
![\displaystyle y=-\frac{1}{2}x+4](https://tex.z-dn.net/?f=%5Cdisplaystyle%20y%3D-%5Cfrac%7B1%7D%7B2%7Dx%2B4)
That is the equation in slope-intercept form. Intercept: y=4
-2 is the answer
----------------------------
You're Welcome.
Answer:
Yes
Step-by-step explanation:
If you multiple 1/3 by 3/3 you would get 3/18
Answer:
Step-by-step explanation:
m∠1>m∠2