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galina1969 [7]
2 years ago
14

Given the circle below secant kjI and tangent hi find the length of hi round to the nearest tenth if necessary.

Mathematics
1 answer:
garik1379 [7]2 years ago
3 0

The length of the segment HI in the figure is 32.9

<h3>How to determine the length HI?</h3>

To do this, we make use of the following secant-tangent equation:

HI² = KI * JI

From the figure, we have:

KI = 21 + 24 = 45

JI = 24

So, we have:

HI² = 45 * 24

Evaluate the product

HI² = 1080

Take the square root of both sides

HI = 32.9

Hence, the length of the segment HI is 32.9

Read more about secant and tangent lines at:

brainly.com/question/14962681

#SPJ1

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Let f (x) = 1/x<br> and g(x) = x² – 3x. What<br> two numbers are not in the domain of fºg?
iren [92.7K]

For this case we have the following equations:

f (x) = \frac {1} {x}\\g (x) = x ^ 2-3x

We must find (f_ {o} g) (x):

By definition of composition of functions we have to:

(f_ {o} g) (x) = f (g (x))

So:

(f_ {o} g) (x) = \frac {1} {x ^ 2-3x}

We must find the domain of f (g (x)). The domain will be given by the values for which the function is defined, that is, when the denominator is nonzero.

x ^ 2-3x = 0\\x (x-3) = 0

So, the roots are:

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The domain is given by all real numbers except 0 and 3.

Answer:

x other than 0 and 3

8 0
3 years ago
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Solve the system using elimination<br> 3x+y=27<br> -3x+4y=-42
padilas [110]

Hello :)

3x+y=27

-3x+4y= -42

+____________

(3x -3x) + (y+4y) = (27-42)

0 + 5y = -15

y = -3

Put "-3" for "y" in the system:

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Have a nice day :)

8 0
3 years ago
The steps for determining the center and radius of a circle using the completing the square method are shown below:
Fudgin [204]
The answer is option c.
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The price of a watch was increased by 7% to £1350. What was the price before the increase? Give your answer to the nearest penny
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Answer:

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Step-by-step explanation:

1350 = the increased watch price= 107% of the original

1350= 1.07x

1261.68224299

Check:

7% of 1261.68224299 is 88.317757

1261.68224299 + 88.317757 = 1349.9 = 1350

Round:

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To the penny= to the hundreth= 1261.68

3 0
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What is the area of this triangle?
icang [17]

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(Hope this helps)

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