(5,1) is the function of the given equation
Answer:
(-16x + 13)° + (-20x + 23)° = 180° ( St. angle)
-16x° + 13° - 20x° + 23° = 180°
-4x° + 36° = 180°
-4x° = 180°-36°
-4x° = 144°
-x° = 144°/4
-x° = -36°
x° = 36°
<u>Minus</u><u> </u><u>Minus</u><u> </u><u>cut</u>
<u>I</u><u> </u><u>hope</u><u> </u><u>you</u><u> </u><u>can</u><u> </u><u>know</u><u> </u><u>this</u><u> </u><u>answer</u>
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Answer: PQ=5, QR=radical 61= 7.81, angle: 50degrees,</span>Why:PQ=|-3|+2=5PR=6<span>angle Alfa, so there is right angle triangle PQR so I can use following formula:</span>PQ^2 + RP^2=QR^2;25 + 36=QR^2;QR=radical 61<span>also I can use: sinus (angle)=PR/QR;</span><span>sin(angle)=6/radical61=0.76822 which gives angle to be little bit more than 50 degrees{sinus 50 degrees=<span>0,7660</span>}. </span>
Hence, -45 is the number which when added to the given fraction will give 2/3
Further explanation:
Given fraction is:
![\frac{23}{12}](https://tex.z-dn.net/?f=%5Cfrac%7B23%7D%7B12%7D)
Let x be the number which has to be added to numerator and denominator
Then
![\frac{23+x}{12+x}=\frac{2}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B23%2Bx%7D%7B12%2Bx%7D%3D%5Cfrac%7B2%7D%7B3%7D)
Cross-multiplying
![\frac{23+x}{12+x}=\frac{2}{3} \\3(23+x)=2(12+x)\\69+3x=24+2x\\3x-2x=24-69\\x=-45](https://tex.z-dn.net/?f=%5Cfrac%7B23%2Bx%7D%7B12%2Bx%7D%3D%5Cfrac%7B2%7D%7B3%7D%20%5C%5C3%2823%2Bx%29%3D2%2812%2Bx%29%5C%5C69%2B3x%3D24%2B2x%5C%5C3x-2x%3D24-69%5C%5Cx%3D-45)
Hence, -45 is the number which when added to the given fraction will give 2/3
Keywords: Linear equation in one variable, Cross-multiplication
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Answer: MN=2
Step-by-step explanation: