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Hoochie [10]
3 years ago
6

Q2 (i). A line “t” is parallel to 3y = 6x + 9. Find the slope of this line “t”. (ii) Another line “r” is perpendicular to the li

ne 3y = 6x + 9. Find the gradient of the line “r”. plz can anyone tell me by doing the practice on the copy I will be thankful
Mathematics
2 answers:
Mariulka [41]3 years ago
7 0

Answer: 6 and -1/6

Step-by-step explanation:

solving for y. You get y = -2x +5, so the slope is –2. Perpendicular lines have opposite-reciprocal slopes, so the slope of the line we want to find is 1/2. Plugging in the point given into the equation y = 1/2x + b and solving for b, we get b = 6.

poizon [28]3 years ago
5 0

Answer:

1) 2

2) -1/2

Step-by-step explanation:

1) 3y= 6x+9

y= 2x+3

Slope is 2

Parallel line "t" has the same slope, it will have equation:

y= 2x+b

2) y =2x+3

Perpendicular line"r" has a slope opposite-reciprocal to this, so the slope will be -1/2, the equation for line"r" is:

y= -1/2x +b

The gradient of the line is same as slope and it is -1/2 for line"r"

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A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m 24 m24, start text, space,
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Answer:

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Step-by-step explanation:

<u>Complete Question:</u>

A monkey is swinging from a tree. On the first swing, she passes through an arc whose length is 24 m. With each swing, she travels along an arc that is half as long as the arc of the previous swing. Which expression gives the total length the monkey swings in her first n swings?

<u>Solution:</u>

First Swing:

24 m

Second Swing:

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24(1/2)

Third Swing:

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24(1/2)(1/2)

Fourth Swing:

24(1/2)(1/2)(1/2)

So we see the general formula as:

24(\frac{1}{2})^{n-1}

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where n is the number of swings

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3 years ago
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ANSWER ILL GIVE EXTRA POINTS ⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️⭐️
ExtremeBDS [4]

Answer:

  D.  2 ≤ x ≤ 10

Step-by-step explanation:

The domain is the horizontal extent of the graph. This graph extends from x=2 to x=10. Its domain is ...

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