The system of equations have one solution
<h3>How to determine the number of solutions?</h3>
The equations are given as:
2x + 2y = 5
3x + 3y = 7
The above equations are distinct linear equations.
This means that they would have one point of intersection, if plotted on a graph
Hence, the system of equations have one solution
Read more about system of equations at:
brainly.com/question/14323743
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Answer:
<h2>
x∈{-1, 8}</h2>
Step-by-step explanation:
![\log_2x +\log_2(x-7) = 3\\\\\log_2[x\cdot(x-7)]= 3\log_22\\\\\log_2(x^2-7x)= \log_22^3\\\\x^2-7x=2^3\\\\x^2-7x-8=0\quad\implies \quad a=1\,,\ \ b=-7\,,\ \ c=-8 \\\\x=\dfrac{-(-7)\pm\sqrt{(-7)^2-4\cdot1\cdot(-8)}}{2\cdot1}= \dfrac{7\pm\sqrt{49+32}}{2} =\dfrac{7\pm\sqrt{81}}{2}\\\\x=\dfrac{7+9}2=8\qquad\vee\qquad x=\dfrac{7-9}2=-1](https://tex.z-dn.net/?f=%5Clog_2x%20%2B%5Clog_2%28x-7%29%20%3D%203%5C%5C%5C%5C%5Clog_2%5Bx%5Ccdot%28x-7%29%5D%3D%203%5Clog_22%5C%5C%5C%5C%5Clog_2%28x%5E2-7x%29%3D%20%5Clog_22%5E3%5C%5C%5C%5Cx%5E2-7x%3D2%5E3%5C%5C%5C%5Cx%5E2-7x-8%3D0%5Cquad%5Cimplies%20%5Cquad%20a%3D1%5C%2C%2C%5C%20%5C%20b%3D-7%5C%2C%2C%5C%20%5C%20c%3D-8%20%5C%5C%5C%5Cx%3D%5Cdfrac%7B-%28-7%29%5Cpm%5Csqrt%7B%28-7%29%5E2-4%5Ccdot1%5Ccdot%28-8%29%7D%7D%7B2%5Ccdot1%7D%3D%20%5Cdfrac%7B7%5Cpm%5Csqrt%7B49%2B32%7D%7D%7B2%7D%20%3D%5Cdfrac%7B7%5Cpm%5Csqrt%7B81%7D%7D%7B2%7D%5C%5C%5C%5Cx%3D%5Cdfrac%7B7%2B9%7D2%3D8%5Cqquad%5Cvee%5Cqquad%20x%3D%5Cdfrac%7B7-9%7D2%3D-1)
Answer:
I'm pretty sure the answer is d,(When both angle KMQ and MNS are equal to angle PMN, the angles KMQ and MNS are congruent.)
Step-by-step explanation:
I had this question on my practice exam for my midterm.
Answer:
The formula for the volume of a cone is V=1/3hπr²
Step-by-step explanation:
Answer:
What type of math is this
Step-by-step explanation:
algebra?
