9514 1404 393
Answer:
47 -6√10
Step-by-step explanation:
As you know, the area of a square is the square of the side length. It can be helpful here to make use of the form for the square of a binomial.
(a -b)² = a² - 2ab + b²
(√2 -3√5)² = (√2)² - 2(√2)(3√5) + (3√5)²
= 2 - 6√10 + 3²(5)
= 47 -6√10
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<em>Check</em>
√2-3√5 ≈ -5.29399 . . . . . . . . note that a negative value for side length makes no sense, so this isn't about geometry, it's about binomials and radicals
(√2-3√5)² ≈ 28.02633
47 -6√10 ≈ 28.02633
A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.
<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
- Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.
For example, √128, √16
- Like radicals: Radicals that have the same root number and radicand (expression under the root)
For example, 2√x and 5√x are like terms.
Here in the question radical expressions are given,
By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.
Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.
Learn more about radicals here:
brainly.com/question/16181471
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Their would be 21 different solutions for this problem
Ok, so since it doesn't give a value for "my age", we'll call it x. So the sentence translates into an equation...
200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16
200 - 2x = 16
Now let's solve for x to find "my age"
First subtract 200 from each side to begin to isolate x
-2x = -184
Divide each side by -2 to isolate x
x = -184/-2
x = 92
I'm 92 years old!
The slope is 3, count from one point to o other. If you go from -2,0 up to -1,3 you go up 3 and over one so the slope is 3
