Answer:
Both x=6 and x=22/3 are extraneous. There are no actual solutions to the given equation.
The equation given was: 2|x-7|=x-8.
Step-by-step explanation:
2|x-7|=x-8
Distribute the 2. We can do this because 2=|2|.
|2x-14|=x-8
|2x-14|=|-(2x-14)| holds since |1|=|-1|.
This means we have the following two equations to solve:
2x-14=x-8 or -(2x-14)=x-8
Let's first solve:
2x-14=x-8
Subtract x on both sides:
x-14=-8
Add 14 on both sides:
x=-8+14
Simplify:
x=6
Let's solve:
-(2x-14)=x-8
Distribute:
-2x+14=x-8
Add 2x on both sides:
14=3x-8
Add 8 on both sides:
22=3x
Divide both sides by 3:
22/3=x
So let's check both x=6 and x=22.3.
2|x-7|=x-8 for x=6:
2|6-7|=6-8
2|-1|=-2
2(1)=-2
2=-2 is not true so x=6 is extraneous.
2|x-7|=x-8 for x=22/3:
2|22/3-7|=22/3-8
2|22/3-21/3|=22/3-24/3
2|1/3|=-2/3
2/3=-2/3 is not true so x=22/3 is extraneous.
12)
well, the picture has a length of (x + 2.5) and a width of (x).
if we extend the picture 1 inch on all sides, it'll end up like the picture below.
13)
let's find the area of the larger rectangle, that includes the smaller rectangle, and then let's find the area of the smaller rectangle, and after <u>subtracting the smaller area from the larger area</u>, what's leftover is the shaded region.
14)
we'll do the same thing here as we did in 13)
Answer:
[0, infinity)
Step-by-step explanation:
The square root is a function that is not defined for negative values, since they belong to another space, the complex space.
Having that in mind that means
x>=0
That's it
Answer: multiply it by 3
Step-by-step explanation:
you do the reverse of what greg does, for this example he divided the number. so the opposite of dividing is multiplying, so you multiply it
Answer:
D
Step-by-step explanation:
2√(18² - 10²)
2√224
2√(16×14)
8√14