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3 years ago

If a^2=b^2, does a=b? Explain and justify your answer.

Mathematics

1 answer:

anygoal [31]3 years ago

4 0

Answer:

not necessarily

Step-by-step explanation:

Taking the square root of both sides, you have ...

±a = ±b

Those four cases resolve to two unique cases:

a = ±b

The given equation will be true if a = b or if a = -b. If a and b are constrained to have the same sign, then a=b is the only solution.

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Vermont had 3 inches of snow on the ground before the sun melted 2 inches. The next storm tripled the amount on the ground. The

Finger [1]

The answer to the question is 2 and 1/2 left on the ground.

3 0

3 years ago

Meaghan goes to the grocery store to buy hot dogs and hamburgers for a cookout. She buys a total of 12

Archy [21]

The system of equations is d+b=12 and 2.59d+5.49b=36.88 and Meaghan bought 10 packages of hot dogs and 2 packages of hamburgers.

Step-by-step explanation:

Cost of one package of hot dog = $2.59

Cost of one package of hamburgers = $5.49

Packages bought = 12

Cost of packages = $36.88

Let,

Packages of hot dogs = d

Packages of hamburger = b

According to given statement;

d+b=12 Eqn 1

2.59d+5.49b=36.88 Eqn 2

Multiplying Eqn 1 by 2.59

$2.59(d+b=12)\\2.59d+2.59b=31.08\ \ \ Eqn\ 3$

Subtracting Eqn 3 from Eqn 2

$(2.59d+5.49b)-(2.59d+2.59b)=36.88-31.08\\2.59d+5.49b-2.59d-2.59b=5.80\\2.90b=5.80$

Dividing both sides by 2.90

$\frac{2.90b}{2.90}=\frac{5.80}{2.90}\\b=2$

Putting b=2 in Eqn 1

$d+2=12\\d=12-2\\d=10$

The system of equations is d+b=12 and 2.59d+5.49b=36.88 and Meaghan bought 10 packages of hot dogs and 2 packages of hamburgers.

Keywords: linear equation, elimination method

Learn more about elimination method at:

#LearnwithBrainly

6 0

4 years ago

Select the correct answer.

jok3333 [9.3K]

Answer:

C. 111

Step-by-step explanation:

10^0 is 1 because of the exponent rule for 0 which is x^0 = 1, 10^1 would be just "10" and 10^2 would be "10x10" which is 100, adding these up would be 1 + 10 + 100 which equals 111

7 0

2 years ago

Cheryl has 56$ and wants to buy as many notebooks as she can to donate to her school. If each notebook costs $1.60, which inequa

kirill115 [55]

N=35 is the answer to your question.

5 0

3 years ago

2{3[a-4(1-a)]-(5-a)} help me simplify the operation

AveGali [126]

Using order of operations, I simplified this down to -24+22a.

I hope this helps, and let me know if you need more explanation!

4 0

4 years ago