Answer: Hence, the value of expression is 30 when p = 8.
Step-by-step explanation:
Since we have given that
![4p-2](https://tex.z-dn.net/?f=4p-2)
and we have p = 8.
So, we substitute the value of p in the above expression.
so, it becomes,
![4(8)-2\\\\4\times 8-2\\\\=32-2\\\\=30](https://tex.z-dn.net/?f=4%288%29-2%5C%5C%5C%5C4%5Ctimes%208-2%5C%5C%5C%5C%3D32-2%5C%5C%5C%5C%3D30)
Hence, the value of expression is 30 when p = 8.
Answer:
hope you understand .............
Answer:
140
Step-by-step explanation:
Angles in a triangle add up 180 :
180 = 107 + 33 + y
y = 180 - (107+33)
y = 180 - 140
y = 40
Angles on a straight line add up to 180 so :
180 = x + y
180 = x + 40
x= 180 - 40
x = 140
Hope this helped and have a good day
Answer:
a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints
Step-by-step explanation:
Answer:
<h2>A. 27</h2>
Step-by-step explanation:
![\text{De}\text{finition of logarithm}\ \log_ab=c\iff a^c=b.\\\\\log_bA=5\iff A=b^5\\\\\log_bC=7\iff C=b^7\\\\\log_bD=2\iff D=b^2\\\\\dfrac{A^5C^2}{D^6}=\dfrac{(b^5)^5(b^7)^2}{(b^2)^6}\qquad\text{use}\ (a^n)^m=a^{nm}\\\\=\dfrac{b^{25}b^{14}}{b^{12}}\qquad\text{use}\ a^n\cdot a^m=a^{n+m}\ \text{and}\ \dfrac{a^m}{a^n}=a^{m-n}\\\\=b^{25+14-12}=b^{27}\\\Downarrow\\\\\log_b\left(\dfrac{A^5C^2}{D^6}\right)=\log_bb^{27}\qquad\text{use}\ \log_aa^n=n\\\\\log_b\left(\dfrac{A^5C^2}{D^6}\right)=27](https://tex.z-dn.net/?f=%5Ctext%7BDe%7D%5Ctext%7Bfinition%20of%20logarithm%7D%5C%20%5Clog_ab%3Dc%5Ciff%20a%5Ec%3Db.%5C%5C%5C%5C%5Clog_bA%3D5%5Ciff%20A%3Db%5E5%5C%5C%5C%5C%5Clog_bC%3D7%5Ciff%20C%3Db%5E7%5C%5C%5C%5C%5Clog_bD%3D2%5Ciff%20D%3Db%5E2%5C%5C%5C%5C%5Cdfrac%7BA%5E5C%5E2%7D%7BD%5E6%7D%3D%5Cdfrac%7B%28b%5E5%29%5E5%28b%5E7%29%5E2%7D%7B%28b%5E2%29%5E6%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%28a%5En%29%5Em%3Da%5E%7Bnm%7D%5C%5C%5C%5C%3D%5Cdfrac%7Bb%5E%7B25%7Db%5E%7B14%7D%7D%7Bb%5E%7B12%7D%7D%5Cqquad%5Ctext%7Buse%7D%5C%20a%5En%5Ccdot%20a%5Em%3Da%5E%7Bn%2Bm%7D%5C%20%5Ctext%7Band%7D%5C%20%5Cdfrac%7Ba%5Em%7D%7Ba%5En%7D%3Da%5E%7Bm-n%7D%5C%5C%5C%5C%3Db%5E%7B25%2B14-12%7D%3Db%5E%7B27%7D%5C%5C%5CDownarrow%5C%5C%5C%5C%5Clog_b%5Cleft%28%5Cdfrac%7BA%5E5C%5E2%7D%7BD%5E6%7D%5Cright%29%3D%5Clog_bb%5E%7B27%7D%5Cqquad%5Ctext%7Buse%7D%5C%20%5Clog_aa%5En%3Dn%5C%5C%5C%5C%5Clog_b%5Cleft%28%5Cdfrac%7BA%5E5C%5E2%7D%7BD%5E6%7D%5Cright%29%3D27)