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Alex
2 years ago
8

Use the result (a+b)²=a²+2ab+b² to find the value of 49²+98+1

Mathematics
1 answer:
Leto [7]2 years ago
5 0

Answer:

2500

Step-by-step explanation:

a² + 2ab + b²

49² + 98 + 1

Comparing terms

a²= 49²

a= 49

2ab = 98

2× 49 × b = 98

98b = 98

b= 98/98

b = 1

or

b²= 1

b=√1

b= 1

a=49 and b= 1

Hence (a+b)²= (49+1)²

50²= 2500

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Answer:

2x³ + 5x² - 12x

Step-by-step explanation:

The correct answer doesn't seem to be listed...

(fg)(x) = (2x² - 3x)(x + 4)

Which equals...

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Which simplifies to...

2x³ + 8x² - 3x² - 12x

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2 years ago
the perimeter of a rectangular painting is 304 CM. If the width of the paint is 63 cm what is the length​
s2008m [1.1K]

Answer:

The PERIMETER P is the distance around the rectangle.

Let's call the width of the rectangle W and the length of the rectangle L.

As you go around the edge there two equal lengths and two equal widths.

The formula for the perimeter of a rectangle is P=2*L+2*W.

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Substitute 290 for P and 62 for the width.

290=2L%2B2%2862%29

Solve for L.

290=2L%2B2%2862%29

290=2L%2B124

290-124=2L

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The equation L=83 means that the length is 83 cm.

CHECK your work.

2(62)+2(83) = 124+166 = 290cm.

The length of the rectangle is 83cm.

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