Answer:
It's a property of log() or ln() functions. It's states:
in other word, subtraction of log functions could be combined to a quotient in the log function.
Answer:
Step-by-step explanation:
Square Root of 225 is 15 (with -15 also it would work but let’s stick to positive root)
Now, the 1st Odd Number is 15 -2 = 13 and the 3rd Odd Number is 15 + 2 = 17.
The required Numbers are 13 and 17.
This works for 3 consecutive Even Numbers also.
Why does it work?
Because, if we have 3 numbers to be a-2, a and a+2 (Doesn’t really matter if a is positive or negative)
(a-2)*(a+2) = a^2 - 4
So, you see adding 4 to the Product of the 1st Number and the 3rd Number (a^2 - 4 + 4 = a^2) gives you the square of the Middle Number, which is a^2!
Answer:
6, 7, and 8
Step-by-step explanation:
2x/3 + 7 <u>></u> 11
Subtract 7 from both sides
2x/3 <u>></u> 4
Multiply both sides by 3
2x <u>></u> 12
Divide both sides by 2
x <u>></u> 6
6, 7, and 8 are the ones that work
Answer:
6. x=53 obtuse
7. x=120 obtuse
Step-by-step explanation:
To find x, you need to add up the angle measures you already have and subtract that sum from 180.
For example, on number 6 you have 37 and a right angle (that little box in the corner). That counts as 90, so its 90+37=127. Then, you subtract 180-127=53. That is how you get your answer.
Hope this helps <3
<span>DH = x + 2, HF = 2y, GH = 3x – 3, and HE = 5y + 1
DH = HF
</span>x + 2 = 2y
and
GH = HE
3x – 3 = 5y + 1
so now you have
x + 2 = 2y
3x – 3 = 5y + 1
re-write and simply
x = 2y - 2
3x = 5y + 4
substitute x = 2y - 2 into 3x = 5y + 4
3x = 5y + 4
3(2y - 2) = 5y + 4
6y - 6 = 5y + 4
y = 10
x = 2y - 2
x = 2(10) - 2
x = 20 - 2
x = 18
answer
x = 18 and y = 10
