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3 years ago

Urgent Help Please High Reward!

Mathematics

2 answers:

cestrela7 [59]3 years ago

7 0

Answer:

n =7

Step-by-step explanation:

(n+1) +1 + (n-1) = value first row

3+ (2n-9) +n = value second row

The value has to be the same

Set the equations equal

(n+1) +1 + (n-1) =3+ (2n-9) +n

Combine like terms

2n+1 = 3n-6

Subtract 2n from each side

2n+1-1 -2n = 3n-6-2n

1 = n-6

Add 6 to each side

1+6 = n-6+6

7 = n

boyakko [2]3 years ago

3 0

Answer:

n =7

Step-by-step explanation:

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3 years ago

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PLZ HELP ASAP DIVIDE LINE SEGMENTS

Yuri [45]

A (4,8) and b (7,2) and let c (x,y)

A , B and C are col-linear ⇒⇒⇒ ∴ slope of AB = slope of BC
slope of AB = (2-8)/(7-4) = -2
slope of BC = (y-2)/(x-7)
∴ (y-2)/(x-7) = -2
∴ (y-2) = -2 (x-7) ⇒⇒⇒ equation (1)

The distance between two points (x₁,y₁),(x₂,y₂) = d
$d = \sqrt{ (x2-x1)^{2} + (y2-y1)^{2} }$

The ratio of AB : BC = 3:2
AB/BC = 3/2
∴ 2 AB = 3 BC
$2 * \sqrt{ (7-4)^{2} + (2-8)^{2} }$ = $3* \sqrt{ (x-7)^{2} +(y-2)^{2} }$
eliminating the roots by squaring the two side and simplifying the equation
∴ 4 * 45 = (x-7)² + (y-2)² ⇒⇒⇒ equation (2)
substitute by (y-2) from equation (1) at equation (2)
4 * 45 = 5 (x-7)²
solve for x
∴ x = 9 or x = 5
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The point will be (9,-2) or (5,6)
the point (5,6) will be rejected because it is between A and B

So, the point C = (9,-2)

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3 years ago

How do you solve this 2 step equation: n+5/-16=-1

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N+5/-16=-1
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3 years ago

Martina is currently 14 years older than her cousin Joey. In 5 years she will be 3 times as old as Joey. How old is Martina? How

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Answer:

Joey is 2 years old and Martine is 16 years old.

Step-by-step explanation:

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3 years ago

The Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924 \pi square fee

Salsk061 [2.6K]

The volume of the spherical dome will be 12.9π cubic feet when the surface area of the dome is 13.924π.

<h3>What is the volume of the sphere?</h3>

The volume of the cone is the amount of quantity, which is obtained in the 3-dimensional space. The dome is the shape of a semi-sphere the volume of the dome will be half of the volume of the sphere.

Given that the Reunion Tower in Dallas, Texas, is topped by a spherical dome that has a surface area of approximately 13,924π square feet.

The volume of the dome will be calculated as below:-

SA = 13.924π

2πr² = 13.92π

r = √6.96

r = 2.63 feet

Volume = 2 / 3 πr³

Volume = ( 2 / 3 ) π ( 2.63)³

Volume = 12.24π cubic feet

Therefore, the volume of the spherical dome will be 12.9π cubic feet.

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1 year ago