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olchik [2.2K]
3 years ago
15

Please help with this question algebra 1

Mathematics
1 answer:
leva [86]3 years ago
8 0

Answer:

Examples for the problem would be:

1) Robert started to run out of his house as fast as he can
2) But he slowed down when he met up with his friends
3) They then stopped at a park along the way
4) After stopping at the park, they ran the rest of the way to school hoping they wouldn't be late.
or
1) Robert met with his friends right outside his house and raced them to the next block
2) After Robert won, they all walked normally to the park
3) They then stopped at the park for a quick break
4) After realizing class was gonna start in a few minutes, they ran as fast as they could to school

Step-by-step explanation:

For the first part, you want Robert to be running at a normal running speed, such as him racing his friends or just running.
For the second part you want him to be walking at a slower pace.
For the third part you want them to not be moving
For the fourth part, you'll explain how/why they're moving so fast since the graph shows that he ran fastest at this time.

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Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number
Masja [62]

Answer:

<h2>√512 by √512 </h2>

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

Perimeter P = 2(Length + Breadth)

A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

-1024y⁻² = -2

512y⁻² = 1

y⁻² = 1/512

1/y² = 1/512

y²  = 512

y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

x = 512/√512

On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m  by √512 m

5 0
4 years ago
Help me please solution.
Alex17521 [72]

Factors of 26: <u>1</u>, <u>2,</u> 13, 26              (1 × 26, 2 × 13)

Factors of 42: <u>1</u>, <u>2</u>, 3, 6, 7, 14, 21, 42              (1 × 42, 2 × 21, 3 × 14, 6 × 7)


The greatest common factor they have is 2

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Answer:

Step-by-step explanation:

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If y varies directly and y is 12 when x is 1.2 what is the constant of variation for this relation
sergij07 [2.7K]

Answer:

10

Step-by-step explanation:

The constant of variation would be 12 / 1.2 = 10.

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