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riadik2000 [5.3K]
3 years ago
9

WILL MARK BRAINIEST!!! Segment AC has two endpoints; (-2,5) and (2,-5). What are the coordinates of point B on segment AC such t

hat the ratio of AB to BC is 5:1? Any help would be appreciated; first correct answer get brainiest and a 5 star review!

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0

Answer:

(\frac{4}{3},-\frac{10}{3})

Step-by-step explanation:

If the extreme ends of a line segment AC are A(x_1,y_1) and C(x_2,y_2).

If a point B(x, y) divides the segment in the ratio of m : n

Then the coordinates of the point B are,

x = \frac{mx_2+nx_1}{m+n}

y = \frac{my_2+ny_1}{m+n}

If the ends of AC are A(-2, 5) and C(2, -5) and a point B divides it in the ratio of m : n = 5 : 1

Therefore, coordinates of this point will be,

x = \frac{5\times (2)+1(-2)}{5+1}

  = \frac{10-2}{5+1}

  = \frac{8}{6}

  = \frac{4}{3}

y = \frac{5\times (-5)+1(5)}{5+1}

  = \frac{-25+5}{6}

  = -\frac{20}{6}

  = -\frac{10}{3}

Therefore, coordinates of the point B are (\frac{4}{3},-\frac{10}{3}).

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Pretest: Unit 5 Question 12 of 21 Use the substitution method to solve the system of equations. Choose the correct ordered pair.
Gala2k [10]

Answer:

(10, - 9 )

Step-by-step explanation:

Given the 2 equations

y = - 2x + 11 → (1)

y = - 3x + 21 → (2)

Substitute y = - 2x + 11 into (2)

- 2x + 11 = - 3x + 21 ( add 3x to both sides )

x + 11 = 21 ( subtract 11 from both sides )

x = 10

Substitute x = 10 into either of the 2 equations and evaluate fir y

Substituting into (1)

y = - 2(10) + 11 = - 20 + 11 = - 9

solution is (10, - 9 )

3 0
2 years ago
Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation option
denis-greek [22]

Answer:

The probability that he teleports at least once a day =  \mathbf{\frac{5}{9}}

Step-by-step explanation:

Given -

Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.

Total no of outcomes = 3

P( He not choose teleport in the morning ) = \frac{2}{3}

P( He not choose teleport in the evening ) = \frac{2}{3}

P ( he choose teleports at least once a day ) = 1 - P ( he not  choose teleports in a day )

                                                         = 1 - P( He not choose teleport in the morning ) \times P( He not choose teleport in the evening )

                                          =  1 - \frac{2}{3}\times\frac{2}{3}

                                           =  \frac{5}{9}

3 0
3 years ago
In two or more complete sentences describe the process in writing the equation of a line given two points?
Alona [7]

Answer:

First, we have to find slope. We do that by using slope formula. Once we have found slope, we have start to write our equation in slope-intercept form. To get the complete equation, we need to find the y-intercept. To do so, we simply plug in one of the coordinates given to us into our half-formed equation. We should be able to find the y-intercept and then have our complete linear equation once we write it all out.

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

Slope Formula: m = \frac{y_2-y_1}{x_2-x_1}

4 0
3 years ago
If you know the answer to these plz answer.
kondaur [170]

Answer:


Step-by-step explanation:  

You can readily see from the diagram, above, that the side length of the middle cube will be between 3 and 4.  You want to determine to the nearest hundredth what value between 3 and 4 represents the side length of the cube whose volume is 45 units^3.

Please note:  the middle cube has been mislabeled.  Instead of volume = 30 units^3, the volume should be 45 units^3.

Here's the procedure:

Guess an appropriate s value.  Let's try s = side length = 3.5

Cube this:  (3.5 units)^3 = 42.875.  Too small.  Choose a larger possible side length, such as 3.7:  3.7^3 = 50.653.  Too large.

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Choose a smaller s, one between 3.5 and 3.6:  3.55^3 = 44.73.  This is the best estimate yet for s.  Continue this work just a little further.  Try s = 3.57.  Cube it.  How close is the result to 45 cubic units?


7 0
2 years ago
The perimeter of a square room is 52 meters. What is the cost of tiling it at $5 per square meter?
Ludmilka [50]
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Now we'll find the area in square meters: 13 * 13 = 169
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So to find out how much that will cost, we will multiply the number of square meters by the amount it cost per square meter: 169 * $5 = $845

So it will cost $845
7 0
3 years ago
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