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seraphim [82]
2 years ago
8

✎﹏Question~

Mathematics
1 answer:
Varvara68 [4.7K]2 years ago
7 0

Answer:

Sol: In this question, firstly we have to make the first bracket as a complete square of the second bracket. This we can by adding 2.x.1/x which is equivalent to 2. Then the equation becomes:

6(x2 + 1/x2 +2) – 5(x + 1/x) = 50 { 38 + 6*2)

⇒ 6(x2 + 1/x2 +2) – 5(x + 1/x) – 50 = 0

Now put x + 1/x = y

⇒ 6y2 -5y -50 = 0

⇒ (2y +5)(3y-10)= 0

⇒ y=-5/2 or 10/3

As x is positive therefore, x + 1/x =10/3

On solving further you will get as x=3 or 1/3

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PLEASE HELP
Nookie1986 [14]

For the square with side length n, the diagonal measures:

d = \sqrt{2} *n

<h3>How to get the length of the diagonal?</h3>

The sidelength of the square is n, and we want to get the length of the diagonal d.

Notice that the diagonal is the hypotenuse of a right triangle whose catheti measure n.

Then we can use the Pythagorean theorem, which says that the square of the hypotenuse is equal to the sum of the squares of the cathetus;

d^2 = n^2 + n^2\\\\d^2 = 2n^2\\\\d = \sqrt{2n^2} \\\\d = \sqrt{2}*n

That is the length of the diagonal.

If you want to learn more about right triangles:

brainly.com/question/2217700

#SPJ1

6 0
2 years ago
The shapes shown are stored into groups according to the number of line of symmery move the rest of the shapes to the correct gr
VARVARA [1.3K]

Answer:

can you show the shapes

Step-by-step explanation:

8 0
2 years ago
Find the angle measure indicated to the nearest tenth:
makvit [3.9K]

Step-by-step explanation:

Sin<D = Opposite / Hypotenuse

Opposite - EC

Hyp - DE

Sin<D = EC/DE = x/9

we need x to find <D.

so -->Use pythagorean theorem.

DE^2 = EC^2 + DC^2

DE = 9 DC = 7 EC = ?

EC^2 = DE^2 - DC^2 rearranged.

= 9^2 - 7^2

= 81 - 49

EC^2 = 32 Put both sides under square root.

√(EC^2) = √32

EC = 4√2 ~ 5.65.

We now have X which was representing the unknown side EC.

Sin<D = EC/DE = 5.65/9 = 0.627

To find <D Take the sine inverse of of 0.627.

<D = Arcsin(0.627) = 38.82°.

We now know <D. It's <E's turn.

A right angle triangle has a summation of interior angles of 180°.

thus, <em><D + <C + <E = 180°</em>

38.82° + 90° + <E = 180°

128.82° + <E = 180°

subtract both sides by 128.82°

0 + <E = 180° - 128.82°

<em><E = 51.</em><em>2</em><em>°</em>

6 0
2 years ago
What is an expression for "8 times x."
rodikova [14]
The expression for 8 times x is just 8x
5 0
3 years ago
Read 2 more answers
How do I find x and what is x
o-na [289]

Answer:

x = 20 degrees

Explanation:

With a 20 degree angle on the direct opposite side, it shows that x is also 20 degrees; and the other two angles would be 160 degrees.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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