4 years ago

Prove: If a^2-a is even then a is even.

Mathematics

1 answer:

Alla [95]4 years ago

6 0

This is not always true. Consider $a=3$ . Then $3^2-3=9-3=6$ is even, but $a$ is odd.

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One positive number is 5 times another number. The difference between the two numbers is 1464, find the numbers.

Brut [27]

Answer:

The answer is 292.8

Step-by-step explanation:

You just have to divided 1464 by 5

7 0

3 years ago

5 and -7 are the solutions to (x-5) (x+7) =12

konstantin123 [22]

Answer: No

Step-by-step explanation:

$(x-5)(x+7)=12$

Replace x for 5 and -7 separately.

$(5-5)(5+7)=12\\0(12)=12\\0=12$

$(-7-5)(-7+7)=12\\-12(0)=12\\0=12$

8 0

3 years ago

Explain how to answer the question attached

LenaWriter [7]

Answer:

The players ran 150 meters

Step-by-step explanation:

Pythagorean Theorem: a² + b² = c²

Since we have a rectangle with sides 90 and 120, we know if we split a diagonal across it, we will get a right triangle with legs 90 and 120. From there, we use Pythagorean Theorem to solve:

90² + 120² = c²

8100 + 14400 = c²

c² = 22500

√c² = √22500

c = 150

3 0

3 years ago

Read 2 more answers

The height of a tree is 8 metres, correct to the nearest metre.

finlep [7]

B or D i calculated the answer and it was between B and D

8 0

3 years ago

Trent consumes an energy drink that contains caffeine. After consuming the energy drink, the amount of caffeine in Trent's body

postnew [5]

Answer:

The 5-hour decay factor is 0.4927.

Step-by-step explanation:

The amount of caffeine in Trent's body decreases exponentially.

The 10-hour decay factor for the number of mg of caffeine is 0.2428.

The 1-hour decay factor is:

$1-hour\ decay\ factor=(0.2428)^{1/10}=0.868$

Compute the 5-hour decay factor as follows:

$5-hour\ decay\ factor=(0.868)^{5}\\=0.4927$

Thus, the 5-hour decay factor is 0.4927.

4 0

3 years ago