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inna [77]
2 years ago
5

Find the value of x.

Mathematics
1 answer:
Anvisha [2.4K]2 years ago
3 0

Answer:

x = 5

Step-by-step explanation:

TU is a tangent segment with length 6.  RT is a secant segment.

In the circle, the square of the tangent is equal to the product (multiply) of the part of the secant outside the circle and the secant's entire length.

Words don't work well here, do they!

In symbols,  (ST)(RT) = (TU)^2

4(x+4)=6^2\\4x+16=36\\4x=20\\x=5

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Stella graphs the equation y=1/3x – 2
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we have

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<u>Statements</u>

<u>case A)</u> The graph is a straight line.

The statement is True

Because, this is a linear equation (see the attached figure)

<u>case B)</u> The line passes through the origin.

The statement is False

Because the point (0,0) is not a solution of the equation

Verify

Substitute the value of x and y in the equation

0=\frac{1}{3}*0-2

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the point (0,0) is not a solution

therefore

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<u>case C)</u> The line passes through the point  (0,-2)

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Because the point (0,-2) is a solution of the equation

Verify

Substitute the value of x and y in the equation

-2=\frac{1}{3}*0-2

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the point (0,-2) is a solution

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The line passes through the point (0,-2)

<u>case D) </u>The slope of the line is 3

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<u>case E)</u> The y-intercept of the line is 2

The statement is False

we know that

The y-intercept is the value of y when the value of x is equal to zero

so

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find the value of y

y=\frac{1}{3}*0-2=-2

the y-intercept is equal to -2


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