Answer:
Step-by-step explanation:
The solution of a system of linear equations is the point of intersection of their graphs because the intersection represents the only x or y values that will satisfy both/all equations. The graph visually shows that the intersection of these equations is the only spot on the graph that all of the equations have in common. This means that only this spot will satisfy all equations. For example, the intersection may be (0,1); this means that for all equations an x value of 0 will always result in the y value of 1. However, an x or y value that satisfies one equation may not satisfy the others if they do not lead to the desired outcome.
Step-by-step explanation:
y = x + 2
X. <u>Y</u>
3. 5
4. 6
5. 7
6. 8
Based on this table, the graph that best represents the table is the one on the right.
Answer:
b=5ft
Step-by-step explanation:
Height: 10
Area: 50
Solved for base
Shape: Parallelogram
Formula: Height/10= 5
1: 50 divided by 10 = 5
Answer is 5
Hope this helps.
Answer:
The other length of the leg is <em>8 feet.</em>
Step-by-step explanation:
To find the answer we have to find what<em> 10</em> and <em>6 is squared.</em> <em>10 x 10 = 100</em>.
<em>6 x 6 = 36. </em>Now since we are trying to find the length of the other leg, we will <em>subtract 100 from 36</em> and we get <em>64</em>. Then for the last step, we will figure out what number<em> squared equals 64.</em> Because 8 x 8 = 64, <em>8 is our answer.</em>
Answer:
x = -8
Step-by-step explanation:
Given the equation:
![27^x=9^{x-4}](https://tex.z-dn.net/?f=27%5Ex%3D9%5E%7Bx-4%7D)
Note that
![27=3^3\\ \\9=3^2,](https://tex.z-dn.net/?f=27%3D3%5E3%5C%5C%20%5C%5C9%3D3%5E2%2C)
then
![27^x=(3^3)^x=3^{3x}\\ \\9^{x-4}=(3^2)^{x-4}=3^{2(x-4)}](https://tex.z-dn.net/?f=27%5Ex%3D%283%5E3%29%5Ex%3D3%5E%7B3x%7D%5C%5C%20%5C%5C9%5E%7Bx-4%7D%3D%283%5E2%29%5E%7Bx-4%7D%3D3%5E%7B2%28x-4%29%7D)
Rewrite the equation as
![3^{3x}=3^{2(x-4)},](https://tex.z-dn.net/?f=3%5E%7B3x%7D%3D3%5E%7B2%28x-4%29%7D%2C)
then
![3x=2(x-4)\\ \\3x=2x-8\\ \\3x-2x=-8\\ \\x=-8](https://tex.z-dn.net/?f=3x%3D2%28x-4%29%5C%5C%20%5C%5C3x%3D2x-8%5C%5C%20%5C%5C3x-2x%3D-8%5C%5C%20%5C%5Cx%3D-8)