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zhuklara [117]
3 years ago
6

Find x in the given figure. (The vertical chord is a diameter.)

Mathematics
1 answer:
victus00 [196]3 years ago
3 0

Step-by-step explanation:

Let the center of the circle be point O.

A right-angled triangle can be drawn using one side of chord X as the base and its height up to point O.

The height of the triangle will be 4 - 2 = 2, and the hypotenuse is the radius of the circle, which is 4.

By Pythagoras' Theorem, 2^2 + (X/2)^2 = 4^2.

So (X/2)^2 = 14, and X = 2√14.

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14.What is the solution of the system?
Archy [21]

Answer:

14.  x=-2.5,  y = -7

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Step-by-step explanation:

14.  Let's solve this system by elimination.  Multiply the first equation by -1.

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-4x +y = 3

Then add this to the second equation.

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6x-y= - 8

--------------

2x   = -5


Divide each side by 2

x = -2.5

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-4x+y =3

-4(-2.5) + y =3

10 +y =3

Subtract 10 from each side.

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15.I will again use elimination to solve this system, because using substitution will give me fractions which are harder to work with.   I will elimiate the y variable.  Multiply the first equation by 11

11( 5x+6y)= 11*20

55x+66y = 220

Multiply the second equation by -6

-6(9x+11y)=32*(-6)

-54x-66y = -192


Add the modified equations together.

55x+66y = 220

-54x-66y = -192

---------------------------

x = 28

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2 years ago
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Step-by-step explanation:

View Picture

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