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rosijanka [135]
2 years ago
13

What are the coordinates of the point on the directed line segment from (5,5) to

Mathematics
1 answer:
iogann1982 [59]2 years ago
6 0

Answer:

(x,y) = (6,2)

Step-by-step explanation:

Given

(x_1,y_1) = (5,5)

(x_2,y_2) = (8,-4)

m:n  = 1:2

Required

Determine the coordinate of the partition

This is calculated using:

(x,y) = (\frac{mx_2 + nx_1}{m + n},\frac{my_2 + ny_1}{m + n})

Substitute values for m,n,x's and y's

(x,y) = (\frac{1 * 8 + 2 * 5}{1+2},\frac{1*-4 + 2*5}{1 + 2})

(x,y) = (\frac{18}{3},\frac{6}{3})

(x,y) = (6,2)

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I need the help as soon as possible
Minchanka [31]

Answer:

a is true

Step-by-step explanation:

its because 7+(-7) =0 so a is correct

7 0
3 years ago
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Line M passes through point (3,1) and is perpendicular to the line of the equation y=3x+4. Which equation describes the graph of
zheka24 [161]

Answer:

y = -1/3x + 2

Step-by-step explanation:

The gradient of the given line is 3 because (y = mx +c where m is the gradient)

Therefore, to find the gradient of the perpendicular line (at 90 degrees), you need to find the negative reciprocal.

The negative reciprocal of 3 is -1/3 because imagine if 3 = 3/1, to get the reciprocal, you flip it, and to get the negative, you just flip the sign.

Now we know that Line M is y = -1/3x + c, we need to find the y-intercept.

To do this, just input the point (3,1) into y = -1/3x + c, to get c. This is because we know (3,1) is on the line from the question.

So it would be 1 = (-1/3 x 3) +c

Which would be 1 = -1 +c

And so c = 2

Put everything together and you get y = -1/3x + 2

8 0
3 years ago
Find the number of possible outcomes. A jewelry store sells gold and
Dmitry [639]

Answer:

The number of possible outcomes are 8.

Step-by-step explanation:

Given that,

A jewelry store sells gold and  platinum rings. Each ring is fitted with a ruby, sapphire, emerald, or  diamond gemstone.

We need to calculate the number of possible outcomes

Using given data,

Outcomes = (gold, ruby), (gold,sapphire), (gold,emerald), (gold,diamond),(platinum, ruby), (platinum,sapphire), (platinum,emerald), (platinum,diamond)

So, Outcomes = 8  

Hence, The number of possible outcomes are 8.  

7 0
3 years ago
Naitik exercised for
kati45 [8]
<h3>Answer:  Aryan spent more time exercising.</h3>

=======================================================

Explanation:

Use your calculator to convert each fraction into decimal form

2/3 = 0.67 approximately

3/4 = 0.75 exact

The decimal 0.75 is larger than 0.67, in which we can think of it like saying "75 is larger than 67".

So 0.67 < 0.75 which leads to 2/3 < 3/4.

Aryan spent more time exercising.

--------------

We could stop there, but if you wanted to know how much longer he spent exercising, then we subtract the two fractions to get

3/4 - 2/3

9/12 - 8/12

(9-8)/12

1/12

Aryan spent 1/12 of an hour longer exercising compared to Naitik

1/12 hour = (1/12)*60 = 60/12 = 5 minutes

He spent 5 extra minutes exercising.

----------------

Notes:

  • 2/3 hours = (2/3)*60 = 40 minutes
  • 3/4 hours = (3/4)*60 = 45 minutes
  • 45-40 = 5 extra minutes of exercise
5 0
3 years ago
6th grade math help me pleaseeee
spayn [35]
The answer is D , start from 2 and count to 8 and it gives you your answer
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2 years ago
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