Answer:
![x=6,y=42](https://tex.z-dn.net/?f=x%3D6%2Cy%3D42)
Step-by-step explanation:
The equations are
![y=5x+12](https://tex.z-dn.net/?f=y%3D5x%2B12)
![3y+4x=150](https://tex.z-dn.net/?f=3y%2B4x%3D150)
Substituting the first equation in the second we get
![3(5x+12)+4x=150](https://tex.z-dn.net/?f=3%285x%2B12%29%2B4x%3D150)
![\Rightarrow 15x+36+4x=150](https://tex.z-dn.net/?f=%5CRightarrow%2015x%2B36%2B4x%3D150)
![\Rightarrow x=\dfrac{150-36}{19}](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D%5Cdfrac%7B150-36%7D%7B19%7D)
![\Rightarrow x=6](https://tex.z-dn.net/?f=%5CRightarrow%20x%3D6)
![y=5x+12=5\times 6+12\\\Rightarrow y=42](https://tex.z-dn.net/?f=y%3D5x%2B12%3D5%5Ctimes%206%2B12%5C%5C%5CRightarrow%20y%3D42)
So, the required values are ![x=6,y=42](https://tex.z-dn.net/?f=x%3D6%2Cy%3D42)
Three and six tenths. The decimal point is always expressed as "and." the digit after the decimal point is always expressed by tenths.
Answer:
the first one is 5/12 and the second one is 6/28. Hope this helps and have a nice day:)
Answer:
Step-by-step explanation:
Find the slope of the line AB.
<u>The slope:</u>
- m = (11 - 9)/(11 - 7) = 2/4 = 1/2
Since the altitude is perpendicular to AB, it has a slope of -2.
The line with the slope of -2 and passes through point C(6, 16).
<u>Use point-slope equation to find the line:</u>
- y - 16 = -2(x - 6)
- y - 16 = -2x + 12
- y + 2x = 16 + 12
- 2x + y = 28
A = 2, B = 1, C = 28
Answer: Yes, they both equal -7/2
Step-by-step explanation: