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8090 [49]
3 years ago
5

Which expression is equivalent to 1/27

Mathematics
1 answer:
blagie [28]3 years ago
6 0

Answer:

D

Step-by-step explanation:

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show that the lines x2-4xy+y2=0 and x+y=3 form an equilateral triangle also find area of the triangle
arlik [135]

Given pair of lines are x² + 4xy + y² = 0

⇒ (y/x) ² + 4 y/x + 1 = 0

⇒ y/x = -4±2√3/2 = -2±√3,

∴  The lines y = (-2 + √3) x and y = (-2 - √3) x and x - y = 4 forms an equilateral triangle

Clearly the pair of lines x² + 4xy +y²  = 0  intersect at origin,

The perpendicular distance form origin to x - y = 4 is the height of the

h = 2 √ 2

∵ Area of triangle = h²/√3 = 8/√3

4 0
2 years ago
-4x - 3 = -6x + 9 need help please.​
Valentin [98]

Answer:

6

Step-by-step explanation:

-4x -3 = -6x +9

-4x = -6x +12

2X = 12

x = 6

8 0
2 years ago
Read 2 more answers
The axis of a great circle of a sphere is 24 inches. If its radius is 9 inches, how far is the plane of a section from the cente
Blababa [14]
A great circle is a section of a sphere that passes through its center. If the earth were a sphere, a great circle would be the equator and its axis would be the line connecting the geographic north and south pole. The length of the axis is then equal to the diameter of the sphere. For this problem, the radius of the sphere is 12 inches. A section is formed by slicing through the sphere and all sections of a sphere are circles. Considering the plane to be cut above and parallel with the equator (which is a great circle), the distance of the plane from the center of the sphere would then be the distance between the centers of the sphere and section. It is also given that the radius of the section is 9 inches. A right triangle is formed by connecting the center of the sphere, an edge of the section, and back to the center of the sphere whose hypotenuse is 12 inches (radius of the sphere), one leg is the 9 inches (radius of the section), and another leg is the distance of the plane from the sphere's center. Thus, the distance can be calculated using the Pythagorean theorem, d = sqrt(12^2 - 9^2) = sqrt(144 - 81) = sqrt(63) = 3*sqrt(7).


I hope my answer has come to your help. Thank you for posting your question here in Brainly.
6 0
2 years ago
Find the measure of angle x
Nikitich [7]

x = 90 - 28

x = 62°

The answer is choice B.

4 0
3 years ago
Read 2 more answers
The measures of two angles of a triangle are 61 and 84 degrees. Find the measure of the third angle.
Serhud [2]

Answer:

The measure of the third angle is 35°.

Step-by-step explanation:

The sum of the three angles of a triangle is always 180°.

Let the measure of the third angle be x.

∴ 61° + 84° + x = 180°

           145 + x =180°

                    x = 180 - 145

                    x = 35°

Hope this answer was helpful!!

If you liked it, please mark it as the Brainliest!!

Regards..

8 0
3 years ago
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