8/11 is the answer
I use this trick: When tryig to find repeating numbers divide by 11 or 9
When dividing by 9 the numerator will be the first number in the decimal
When dividing by 11 the numerator will be one more than the first number in the decimal
Answer: x = 8
(the correct answer was not provided as an option)
<u>Step-by-step explanation:</u>
![log_2(x-6)+log_2(x-4)=log_2(x)\\\\log_2[(x-6)(x-4)]=log_2(x)\\\\(x-6)(x-4)=x\\\\x^2-10x+24=x\\\\x^2-11x+24=0\\\\(x-3)(x-8)=0\\\\x=3\qquad x=8\\\\\\\text{The term after the log symbol (inside the parenthesis) must be greater than 0!}\\\\Check:\\3-6>0\ \text{FALSE --- so 3 is not a valid solution}\\\\8-6>0\ \text{TRUE}\\8-4>0\ \text{TRUE}\\8>0\ \text{TRUE --- 8 is a valid solution because it is true for all}](https://tex.z-dn.net/?f=log_2%28x-6%29%2Blog_2%28x-4%29%3Dlog_2%28x%29%5C%5C%5C%5Clog_2%5B%28x-6%29%28x-4%29%5D%3Dlog_2%28x%29%5C%5C%5C%5C%28x-6%29%28x-4%29%3Dx%5C%5C%5C%5Cx%5E2-10x%2B24%3Dx%5C%5C%5C%5Cx%5E2-11x%2B24%3D0%5C%5C%5C%5C%28x-3%29%28x-8%29%3D0%5C%5C%5C%5Cx%3D3%5Cqquad%20x%3D8%5C%5C%5C%5C%5C%5C%5Ctext%7BThe%20term%20after%20the%20log%20symbol%20%20%28inside%20the%20parenthesis%29%20must%20be%20greater%20than%200%21%7D%5C%5C%5C%5CCheck%3A%5C%5C3-6%3E0%5C%20%5Ctext%7BFALSE%20---%20so%203%20is%20not%20a%20valid%20solution%7D%5C%5C%5C%5C8-6%3E0%5C%20%5Ctext%7BTRUE%7D%5C%5C8-4%3E0%5C%20%5Ctext%7BTRUE%7D%5C%5C8%3E0%5C%20%5Ctext%7BTRUE%20---%208%20is%20a%20valid%20solution%20because%20it%20is%20true%20for%20all%7D)
x1=1 and x2=9 Whenever you see x put the two answers there and it’s equal to 32.... I hope it helped???? :)
Answer:
When Kiran is 13, his aunt will be 28.
When Kiran's aunt is 60, he will be 45.
Step-by-step explanation:
Hope this helps!
Answer:
1. 1.25
2. 0.8
Step-by-step explanation:
1. 2 : 2.5 = 1.25 Ratio from P To Q - 1 : 1.25
2. 2.5 : 2 = 0.8 Ratio from Q to P - 1 : 0.8
1. All you have to do is find the corresponding sides(meaning similar) and the compare them from one to another.
Example:
I know 5 and 4 are corresponding sides because they are similar. The ratio is Q to P we can find by writing them down. It can be written like this.
5:4 is so when we multiply this ratio from any side of Q we will get the correpoding side from P.
5:4 ratio = 1 : 0.8 - So the ratio is 0.8
There this is another ratio that we can compare to.
Now let’s say we need to find when the one of the P side is 4 and what would be the corresponding side.
4 x 1.25(ratio from P to Q) = 5
We can also find when the P side is 3 what would be Q’s corresponding side. Which is the ratio from P to Q or 1.25.
So just multiply 3 by 1.25.
3 x 1.25 = 3.75
3.75 x 0.8 = 3
