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Aneli [31]
4 years ago
14

Simplify (2 {sqrt 5}+ 3 {sqrt 7})^2. Show your work. Justify each step.

Mathematics
1 answer:
White raven [17]4 years ago
4 0
(2√5 + 3(√7))^2
(2√5 + 3(√7))(2√5 + 3(√7))
4*5 + 6√35 + 6√35 + 9*7
20 + 12√35 + 63
20 + 63 + 12√35
83 + 12√35
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Show that if u+v and u-v are orthognal, then the vectors u and v must have the same length.
pashok25 [27]

Answer with Step-by-step explanation:

We are given that

u+ v and u-v are orthogonal

We have to prove that u and v must have the same length.

When two vector a and b are orthogonal then

a\cdot b=0

By using the property

(u+v)\cdot (u-v)=0

We know that

(a+b)\cdot (a-b)=\mid a\mid^2-\mid b\mid^2

\mid u\mid ^2-\mid v\mid^2=0

\mid u\mid^2=\mid v\mid^2

Magnitude is always positive

When power of base on both sides are equal then base will be equal

Therefore,

\mid u\mid=\mid v\mid

Hence, the length of vectors u and v must have the same length.

5 0
4 years ago
Using powers of 10, which would be the best choice for the first number to subtract in the division problem 956 ÷ 87?
dlinn [17]

Answer:

870 as it is the only number in the list which closest and lesser then 956.

(if you divide, then you get 10 as quotient and 86 as remainder)

we can also take 87 but the question mentions with multiples of 10.

Step-by-step explanation:

6 0
3 years ago
Explain how to use a horizontal number line<br> to order four fractions from least to greatest.
horsena [70]

Answer:

To order fractions from least to greatest, start by finding the lowest common denominator for all of the fractions. Next, convert each of the fractions by dividing the lowest common denominator by the denominator and then multiplying the top and bottom of the fraction by your answer.

Step-by-step explanation:

Solution for the above problem: We first find the least common denominator by finding the least common multiple for 4, 3, 2, 6, and 8. We find the LCM by the prime factorization method. Next, place the fractions in order from least to greatest.

4 0
3 years ago
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Valentin [98]
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Since

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you have

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which means

c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}
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3 years ago
A cube has an edge length of 7 centimeters.what is the lateral surface of the cube ?
IgorLugansk [536]
The answer is 196!!!!!!!
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