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Flauer [41]
2 years ago
10

Length of tangent line - geometry please help

Mathematics
2 answers:
pickupchik [31]2 years ago
5 0

Answer:

a

Step-by-step explanation:

Given a tangent and a secant to a circle from an external point, then

The square of the tangent is equal to the product of the external part and the whole of the secant , that is

PB² = PA × PC = 4(4 + 32) = 4 × 36 = 144 ( take square root of both sides )

PB = \sqrt{144} = 12 → a

kolezko [41]2 years ago
3 0

Answer:

12

Step-by-step explanation:

(whole secant) x (external part) = (tangent)^2

PC * PA = PB^2

(PA+AC) * PA = PB^2

(4+32) * 4 = PB^2

36*4 = PB^2

144 = PB^2

Taking the square root of each side

sqrt(144) = sqrt(PB^2)

12= PB

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Vlad [161]
Consider the value of f at x=2.

f(2)=5*2+15=10+15=25. Thus, we have the point (2, 25) in the graph of f.

The graph of g is the graph of f compressed horizontally by a factor of 1/5. 

So at 2, the y-coordinate is 25(1/5=5). That is, we have the point (2, 5).


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g(x)=x+3.


Answer: <span>A) g(x)=x+3</span>
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3 years ago
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mash [69]

Answer:

x=10

Step-by-step explanation:

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7 0
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One tank is filling at at a rate of 3/4 gallon per 2/3 minutes. A second tank is filling at a rate of 5/8 gallon per 1/2 minutes
VMariaS [17]
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Step-by-step explanation:

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Marianna [84]

Answer:

the x² test statistic 13.71

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Step-by-step explanation:

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the x² test statistic = ?

X^2_{stat = ∑[ (o_i - e_i)²/e_i]

X^2_{stat = [ (60 - 75)² / 75 ] + [ (90 - 75)² / 75 ] + [ (92 - 75)² / 75 ] + [ (58 - 75)² / 75 ]

X^2_{stat = [ 3 ] + [ 3 ] + [ 3.8533 ] + [ 3.8533 ]

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Therefore, the x² test statistic 13.71

Option a) 13.71 is the correct answer.

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