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malfutka [58]
3 years ago
11

Find the value of x.

Mathematics
2 answers:
UNO [17]3 years ago
5 0

Answer:

x = 20

Step-by-step explanation:

Intersecting Chords Theorem: ab = cd

Step 1: Label our variables

<em>a</em> = x

<em>b</em> = x - 11

<em>c</em> = x - 8

<em>d</em> = x - 5

Step 2: Plug into theorem

x(x - 11) = (x - 5)(x - 8)

Step 3: Solve for <em>x</em>

x² - 11x = x² - 8x - 5x + 40

x² - 11x = x² - 13x + 40

-11x = -13x + 40

2x = 40

x = 20

svet-max [94.6K]3 years ago
3 0

Answer: x=20

Step-by-step explanation:

ab=cd

x(x - 11) = (x - 5)(x - 8)

x^2 - 11x = x^2 - 13x + 40

x^2 - 11x = x^2 - 8x - 5x + 40

-11x = -13x + 40\\2x = 40\\x = 20

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Step-by-step explanation

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3 years ago
Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discha
mr Goodwill [35]

Answer:

Step-by-step explanation:

Average Temperatures Suppose the temperature (degrees F) in a river at a point x meters downstream from a factory that is discharging hot water into the river is given by

T(x) = 160-0.05x^2

a. [0, 10]

For x = 0

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For x = 10

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The average temperature

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b. [10, 40]

For x = 10

T(10) = 160 - 0.05 × 10^2

T(10) = 160 - 5 = 155

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (80 + 155)/2 = 117.5

c. [0, 40]

For x = 0

T(0) = 160 - 0.05 × 0^2

T(0) = 160

For x = 40

T(10) = 160 - 0.05 × 40^2

T(10) = 160 - 80 = 80

The average temperature

= (160 + 80)/2 = 120

6 0
3 years ago
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