Any number inside the modulus sign becomes positive. This means 
and so we have,
Solving these gives us
However if we check the second solution in the original equation we obtain 
. This is false and so 
can't be a solution.
Therefore the only solution is 
.
(Note: I'm not sure why the second solution didn't work but when there's a modulus sign involved it always pays to check your final answers to be sure. I'll have a think about it but in case you find out before I do, I'd be interested to know in the comments.)
Answer:
1. Pyramid= ll+l^2 2. Rectangular prism= 2 lw+2lh+2wh 3. Cylinder= 2pi pi rh+2pi pi r^2 4.Triangular Prism= 2 B + Ph 5. Cone= Pi rl+ pi r^2
Step-by-step explanation:
Pretty sure this is your answer. Hope it helps!
Answer: The original price of washing machine is $250.
Step-by-step explanation:
Since we have given that
Rate of decline in normal prices = 17%
Amount of normal price reduced by = $42.50
Let the original price be x
According to question,
Hence, The original price of washing machine is $250.
Answer:
Step-by-step explanation:
So in this example we'll be using the difference of squares which essentially states that: 
or another way to think of it would be: 
. So in this example you'll notice both terms are perfect squares. in fact x^n is a perfect square as long as n is even. This is because if it's even it can be split into two groups evenly for example, in this case we have x^8. so the square root is x^4 because you can split this up into (x * x * x * x) * (x * x * x * x) = x^8. Two groups with equal value multiplying to get x^8, that's what the square root is. So using these we can rewrite the equation as:
Now in this case you'll notice the degree is still even (it's 4) and the 4 is also a perfect square, and it's a difference of squares in one of the factors, so it can further be rewritten:
So completely factored form is: 
I'm assuming that's considered completely factored but you can technically factor it further. While the identity difference of squares technically only applies to difference of squares, it can also be used on the sum of squares, but you need to use imaginary numbers. Because 
. and in this case a=x^2 and b=-4. So rewriting it as the difference of squares becomes: 
just something that might be useful in some cases.
It is the last choice, 12
seven times two is 14
74-14=60
60/5=12
Hope this helps!!
