2 years ago

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

Mathematics

1 answer:

anygoal [31]2 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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The area of a rectangle is 42 square inches and one side is 12 inches long find the perimeter of the rectangle show your work

uranmaximum [27]

So first of all we need to know that area is length times width
Area = L x W
since we know the area is 42 and the length is 12 lets plug those in
42 = 12 x W
now we dont know what W is yet but we can figure it out by dividing 42 by 12
42/12 = 3.5
So W = 3.5!
but its asking for the perimeter and we know that perimeter is all of the sides of the rectangle added up. Heres a picture

___3.5___
| |
| |
12 | | 12
| |
************
3.5

see now we just add those all up together:)

12 + 12 + 3.5 + 3.5 = 31!!
so our perimeter is 31 inches:)
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2 years ago

Alexa is ordering a taxi from an online taxi service. The taxi charges $4 just for the pickup and then an additional $1.25 per m

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Answer:

Alex's ride is $15.25

The equation to find this is

1.25m + 4 = cost

m = miles traveled

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