
x³-2x²+2x²-3x-2
x²(x-2)+2x²-4x+1x-2
x²(x-2)+2x(x-2)+1(x-2)
(x-2)(x²+2x+1)
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b
Take a look at everything inside the brackets sqrt(50x^2) = sqrt(5*5*x*x * 2) For ever 2 factors you can bring one out and drop the other one. That means take out 5 * x * sqrt(2). Two is what is left inside the brackets. B must = 2.
c
Do the same thing here. Write all the primes under the square root. Take out 1 for every two under the root sign. sqrt(32x) = sqrt(2*2*2*2*2*x) You can bring out two 2s. There is one left over. Leave it under the root sign. The x is a loner. It stays under the root sign. c = 2 * 2 = 4.
e
Again do the prime factor thing. sqrt(18n) = sqrt(3*3*2*n) = 3*sqrt(2*n)
e = 3
g
sqrt(72*x*x) = sqrt(3 * 3* 2 * 2 * 2 * x * x) = 3 *2 * x* sqrt(2) For every 2 prime factors you can pull out 1 of them outside the square root sign. g = 6
Comment
There are many people on the net and on Brainly that will say that you should know the perfect squares from 1 to 100 (say) so 4 9 16 25 36 49 64 81 100 are the numbers that you should memorize. When they are under the root sign, their roots can be taken out as 2 3 4 5 6 7 8 9 10. For this question I think it is better to use the pairs rule I've given you above. If someone else answers they are likely to do it the way it is written up in this paragraph. It's a free country. You are free to take the answer you like best.
Answer:
The same shape but not the same size
Step-by-step explanation:
If two figures have the same shape <em>and</em> the same size, they are defined as congruent.
As long as all the angles and sides are proportionally <em>similar</em> then the shapes have similarity.
Answer:
6x + 4 - 1/100 = 77.5
Step-by-step explanation:
Inc shipping all shirts 77.49
Shirt individual cost = 12.25
We find the division first = 77.49-3.99 = 73.5 = 73 1/2
Then we divide 73.5 / 12.25 = 6
Then we have our equation
6x + 4 - 1/100 = 77.5
To answer this question, we can set up a proportion:

Then we cross multiply and solve for x:


So you can drink 7.5 oz of the Dr. Pepper in one day.