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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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all of the following expressions have the same result, except A.-7/8 ÷ (-1/4) B. ( -7/8)×(-4) C. (8/7)×(1/4) D. 7/8/1/4

yan [13]

Answer

Step-by-step explanation:

3 0

3 years ago

The rates of change, true or false

GenaCL600 [577]

Answer:

True, True, False

Step-by-step explanation:

1 is true because y values are increasing as x increases for both

2 is true because b's rate of change is 2 and a's rate of change is 0.25, so 2/0.25=8.

3 is false because a's y intercept is at 1

5 0

3 years ago

Jackie runs and dances for a total of 55 minutes every day. She dances for 25 minutes longer than she runs.

AlladinOne [14]

9514 1404 393

Answer:

A: x + y = 55; y - x = 25

B: 15 minutes running

C: no

Step-by-step explanation:

The two equations relate to the total number of minutes, and to the difference specified in the problem statement.

x + y = 55 . . . . . . total time is 55 minutes

y = x + 25 . . . . . . dances 25 minutes longer

We can substitute for y in the first equation to find the value of x, the time spent running.

x + (x +25) = 55

2x = 30 . . . . subtract 25

x = 15 . . . . . . divide by 2

Jackie spends 15 minutes running each day.

The value of y from is found using the second equation:

y = x +25 = 15 +25 = 40

Jackie <u>will not spend 45 minutes dancing</u> if she meets the requirements on times.

5 0

2 years ago

Example of different types of function.

VLD [36.1K]

there are many types of functions this includes linear function (straight line graph) eg y=3x+2 , quadratic function (u shaped curve) eg y=x², logarithmic function, exponential function and etc

3 0

3 years ago

For the parallelogram find the value of x,y,and z

Nat2105 [25]

Answer:

X = 119, Y = 61, Z = 119

Step-by-step explanation:

These are supplementary angles and equal 180.

180 - 61 = 119

Opposite angles are congruent

5 0

3 years ago