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kifflom [539]
2 years ago
9

Determine the constant of proportionality, k, and interpret it in the context of each problem. 3) The graph shows the relationsh

ip between the weight of an object on Earth and the weight of the same object on Venus. (Hope you can see the picture well)

Mathematics
2 answers:
Aleks04 [339]2 years ago
7 0

I am pretty sure it would be k=50 (pounds) because it goes up 50 each point goes by 50 pounds between each one. (as seen in the edited graph I made)

Veseljchak [2.6K]2 years ago
3 0

Answer:

it would be k=50 (pounds) because it goes up 50 each point

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0.333 in / hr

Step-by-step explanation:

203 / 25.4

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2 years ago
6. Using the discriminant, determine the value of k that will give 1 solution (i.e. discriminant equals zero) y = kx²-4x + 4 ​
Gwar [14]

Answer:

k = 1

Step-by-step explanation:

<u>Discriminant</u>

b^2-4ac\quad\textsf{when }\:ax^2+bx+c=0

\textsf{when }\:b^2-4ac > 0 \implies \textsf{two real roots}

\textsf{when }\:b^2-4ac=0 \implies \textsf{one real root}

\textsf{when }\:b^2-4ac < 0 \implies \textsf{no real roots}

As we need to determine the value of k that will give <u>one solution</u>, set the <u>discriminant to zero</u>.

<u>Given equation</u>:

y=kx^2-4x+4

Therefore:

  • a = k
  • b = -4
  • c = 4

Substitute these values into the discriminant and solve for k:

\begin{aligned}b^2-4ac & = 0\\\implies (-4)^2-4(k)(4) & = 0\\16-16k & = 0\\16k & = 16\\\implies k & = 1\end{aligned}

4 0
1 year ago
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sammy [17]
- 4x + 25 = 13
4x = 12
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3 0
2 years ago
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Ann [662]

Answer:

700.39cm

Step-by-step explanation:

For a horizontal distance of 30cm, the drop is 1cm, now we need to get the drop for horizontal distance of 700 cm to maintain the same slope

Using the concept of cross multiplication

30cm=1 cm drop

700 cm=x

30x=700

X=700/30=70/3=23 ⅓

Utilizing pythagoras theorem, the length of pipe will be

L=√(23⅓)²+700²

L=700.38878092417 cm

Rounded off, the length is approximately 700.39 cm

8 0
2 years ago
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