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malfutka [58]
3 years ago
13

Determine the possible smallest value(s) of x.

Mathematics
1 answer:
Len [333]3 years ago
7 0

Answer:

x = 5, x = 7

Step-by-step explanation:

Tangents to a circle from an external point are congruent, that is

x² = 12x - 35 ( subtract 12x - 35 from both sides )

x² - 12x + 35 = 0 ← in standard form

Consider the factors of the constant term (+ 35) which sum to give the coefficient of the x- term (- 12)

The factors are - 5 and - 7, since

- 5 × - 7 = + 35 and - 5 - 7 = - 12, thus

(x - 5)(x - 7) = 0

Equate each factor to zero and solve for x

x - 5 = 0 ⇒ x = 5

x - 7 = 0 ⇒ x = 7

smallest value of x is 5

largest value of x is 7

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The perimeter of the rectangle below is 132 units. Find the length of side AB.
melisa1 [442]

Answer:

AB = 35

Step-by-step explanation:

For the value of variable z....;

;Perimetre = 132

; 132 = 2(4z + 3) + 2(5z)

; 132 = 8z + 6 + 10z

; 132 - 6 = 8z + 10z

; 126 = 18z

;the value of...z = 7

Therefore the value of length AB;

AB = 5z...then substitute the value of z into the length of AB

; AB = 5(7)

;AB = 35

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3 years ago
There are 36 students in Misty in six grade class it's 512s of her students are girls how many girls are in the class
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4 years ago
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3 3/4 ÷5 5/8 Please help
katovenus [111]

Answer: 2/3 or .667

Step-by-step explanation:

4 0
2 years ago
QUICK ANSWERS PLEASE!!
Kobotan [32]

Answer:

  • 24 sides

Step-by-step explanation:

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3 years ago
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Helpppppppp. Jason inherited a piece of land from his great-uncle. Owners in the area claim that there is a 45% chance that the
tamaranim1 [39]

Answer:

Jason Inherit a land with a 45% chance of having oil.

Step-by-step explanation:

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The probability of the land having oil is= Q(O ) =55/100

The machine has an accuracy of 80%. This suggests that 8 out of 10 times the machine will give a wrong reading.

The probability of the correct reading is=  P(M)=80/100

The probability of the incorrect reading is=Q(M)=20/100

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Probability=P(O) x Q(M)

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The probability of the test predicting no oil in land and the land has oil is  0.09 or 9%

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3 years ago
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