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3 years ago

Property of Circles: Segment Relationships in Circles

Mathematics

2 answers:

zhuklara [117]3 years ago

5 0

Answer: x=5

Step-by-step explanation:

-Dominant- [34]3 years ago

3 0

Answer:

x = 5

Step-by-step explanation:

Two secants from an external point to a circle, then the product of one secant's external part and the entire secant is equal to the product of the external part and the entire secant of the other, that is

(x - 2)(x - 2 + x + 4) = 4(4 + 5)

(x - 2)(2x + 2) = 4(9) = 36 ← distribute and simplify the left side

2x² + 2x - 4x - 4 = 36

2x² - 2x - 4 = 36 ( subtract 36 from both sides )

2x² - 2x - 40 = 0 ( divide through by 2 )

x² - x - 20 = 0 ← in standard form

(x - 5)(x + 4) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x + 4 = 0 ⇒ x = - 4

But x > 0 ⇒ x = 5

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Step-by-step explanation:

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3 years ago

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3 years ago

Read 2 more answers

Write a x (-a)x 13 x a x (-a) x 13 in power notation

miss Akunina [59]

Answer:

$a\times (-a)\times 13\times a\times (-a)\times 13$ can be written in power notation as $a^{4}\times 13^{2}$

Step-by-step explanation:

The given expression

$a\times (-a)\times 13\times a\times (-a)\times 13$

Writing a\times (-a)\times 13\times a\times (-a)\times 13 in power notation:

Let

$a\times (-a)\times 13\times a\times (-a)\times 13$

= $[13\times13][(a\times (-a)\times a\times (-a)]$

$13\times13 = 13^{2}$ , $a\times a = a^{2}$ , $(-a)\times (-a) = (-a)^{2}$

So,

$=[13^{2}][a^2\times (-a)^2]$

$(-a)^2 = a^{2}$

So,

$=[13^{2}][a^2\times a^2]$

As ∵ $a^{m} \times a^{n}=a^{m+n}$

$=[13^{2}][a^{2+2}]$

As ∵ $a^{m} \times a^{n}=a^{m+n}$

$=13^{2}\times a^{4}$

$=a^{4}\times 13^{2}$

Therefore, $a\times (-a)\times 13\times a\times (-a)\times 13$ can be written in power notation as $a^{4}\times 13^{2}$

Keywords: power notation

Learn more about power notation from brainly.com/question/2147364

#learnwithBrainly

5 0

2 years ago

Plz help area is 54in

BabaBlast [244]

Answer:

equation: a/.5b=h

h=9

Step-by-step explanation:

a=1/2bh

divide both sides by 1/2b to get h alone

a/.5b=h

54/0.5(12)=h

54/6=h

9=h

3 0

3 years ago

Solve the system of linear equations. Check your solution. y=2x-2 y=2x+9

natulia [17]

2X-2=2X+9
Add 2

2X=2X+11
Subract 2X
0= 11

This has no solution to this problem

8 0

3 years ago

Property of Circles: Segment Relationships in Circles​

Property of Circles: Segment Relationships in Circles