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3 years ago

Coefficient of x^2 in expansion of (x+2)^5

1 answer:

8 0

The x² term will be C(5,2)x²·2³ = 80x².

The coefficient is 80.

_____
C(n, k) = n!/(k!·(n-k)!)
C(5, 2) = 5·4/(2·1) = 10

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faust18 [17]

Answer:

Option (3)

Step-by-step explanation:

Since, flowerbed is in the shape of a right triangle,

By applying Pythagoras theorem in the given right triangle,

(Hypotenuse)² = (leg 1)² + (leg 2)²

(Hypotenuse)² = (12)² + (12)²

(Hypotenuse)² = 144 + 144

Hypotenuse = √288

Hypotenuse = 16.97

≈ 17 ft

Perimeter of the triangle = Sum of the measures of three sides of the triangle

= 12 + 12 + 17

= 41 ft

Therefore, Option (3) will be the correct option.

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3 years ago

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of

seropon [69]

Answer:

3125 cm

Step-by-step explanation:

The distance between two villages is 0.625 km. Find the length in centimetres between the two villages on a map with a scale of 1:5000.

We are given the scale of

1: 5000

This means

1 km = 5000 cm

Hence:

1 km = 5000cm

0.625 km = x cm

Cross Multiply

x cm = 0.625 × 5000 cm

x cm = 3125 cm

Therefore, the length in centimetres between the two villages is 3125cm

5 0

3 years ago

5 - (-9 ) subtracting intergers

ruslelena [56]

Answer:

Step-by-step explanation:

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3 years ago

Read 2 more answers

X-26 over -9= 5 please help quick

nexus9112 [7]

Answer:

x = -19

Step-by-step explanation:

$\frac{x-26}{-9}=5$

Multiply both sides of the equation by -9.

$\frac{\left(x-26\right)\left(-9\right)}{-9}=5\left(-9\right)$

x - 26 = -45

Add 26 to both sides.

x - 26 + 26 = -45 + 26

x = -19

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2 years ago

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Gre4nikov [31]

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3 years ago