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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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Four friends were born in consecutive years. The sum of their
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Answer:

25

Step-by-step explanation:

Since they were born on consecutive years, their ages are 4 consecutive whole numbers. Let the lowest age be x. Then the other ages are x + 1, x + 2, and x + 3.

Now we add the 4 expressions and set the sum equal to 94.

x + x + 1 + x + 2 + x + 3 = 94

4x + 6 = 94

4x = 88

x = 22

The youngest one is 22.

The oldest one is

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4 0
3 years ago
The machine bottled 8,000 bottles in 4 hours. if the rate of the machine were doubled, how long would it take the machine to bot
valina [46]
It would take 20 hours since 8,000 times 5 is 40,000 so 4 times 5 is 20.



Logic.
4 0
3 years ago
The formula v=u+at is used to find speed of an object. find v if u=6,a=2 and t=5​
Anit [1.1K]

Answer:

v = 16.

Step-by-step explanation:

This is one of the equations of motion  when acceleration is constant.

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3 0
3 years ago
Read 2 more answers
Mr. Ray wanted to measure the height of a light post. He placed a mirror on the ground 32 feet from the light post, then walked
ryzh [129]

Answer:

Option (2) is the answer.

Step-by-step explanation:

From the figure attached,

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Here AB = d = 6 feet

CD = w = 32 feet

BC = f = 9 feet

Since both the triangles ABC and EDC are similar, their corresponding sides will be in the same ratio.

\frac{AB}{DE}=\frac{BC}{CD}

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7 0
3 years ago
Please help me please
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Alternate Interior Angles Theory

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3 years ago
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