Given

we have

Squaring both sides, we have

And finally

Note that, when we square both sides, we have to assume that

because we're assuming that this fraction equals a square root, which is positive.
So, if that fraction is positive you'll actually have roots: choose

and you'll have

Which is a valid solution. If, instead, the fraction is negative, you'll have extraneous roots: choose

and you'll have

Squaring both sides (and here's the mistake!!) you'd have

which is not a solution for the equation, if we plug it in we have

Which is clearly false
Answer:
the other sides are 3 meters as well
Step-by-step explanation: Since it is an equilateral triangle, all the sides will be the same. An Isosceles triangle has two of the sides the same and one different. A scalene triangle has all of the sides different. So, the rest of the sides are 3 meters.
90% of the milkshakes had whipped cream because 90/100 as a percentage is 90%
Answer: 0.6
Step-by-step explanation: First, you want so seperate the equations in parenthesis to make solving the equation easier.
(-2/3x-9/8x )-(4/5x)-(1)
So (-2/3x-9/8x) equals -11/24x
And -11/24x-4/5x equals -151/120x
So -151/120x-1 ends up being 0.6.
Answer:
The answer is 2(the square root of 65 )
Step-by-step explanation:
Plug ( -6, 2) and (8, 10) into the distance formula and solve.
Distance = the square root of ((x2 - x1)^2 + (y2 - y1)^2))
Distance = the square root of ((8 - -6)^2 + (10 - 2)^2))
Distance = the square root of (14^2 + 8^2)
Distance = the square root of (196 + 64)
Distance = the square root of 260 which can be simplified to 2(the square root of 64)