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trasher [3.6K]
3 years ago
9

Help!! PLease someone

Mathematics
1 answer:
lawyer [7]3 years ago
7 0
It is 5 you just have to count
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Determine the ratio in which the point (–6, m) divides the join of A(–3, –1) and B(–8, 9). Also, find the value of m.
PSYCHO15rus [73]

Answer:

Ratio = 3 : 2 and value of m = 5.

Step-by-step explanation:

We are given the end points ( -3,-1 ) and ( -8,9 ) of a line and a point P = ( -6,m ) divides this line in a particular ratio.

Let us assume that it cuts the line in k : 1 ratio.

Then, the co-ordinates of P = ( \frac{-8k-3}{k+1},\frac{9k-1}{k+1} ).

But, \frac{-8k-3}{k+1} = -6

i.e. -8k-3 = -6k-6

i.e. -2k = -3

i.e. k = \frac{3}{2}

So, the ratio is k : 1 i.e \frac{3}{2} : 1 i.e. 3 : 2.

Hence, the ratio in which P divides the line is 3 : 2.

Also, \frac{9k-1}{k+1} = m where k = \frac{3}{2}

i.e. m = \frac{\frac{9 \times 3}{2}-1}{\frac{3}{2}-1}

i.e. m = \frac{27-2}{3+2}

i.e. m = \frac{25}{5}

i.e. m = 5.

Hence, the value of m is 5.

4 0
3 years ago
Read 2 more answers
Drag each number to the correct location on the table. Each number can be used more than once, but not all numbers will be used.
muminat

Answer:

1. 12x^2-13.4x-11

- Degree: 2

- Number of terms: 3

2. 7x^3+168

 - Degree: 3

- Number of terms: 2

3. 9x^4-9

- Degree: 4

- Number of terms: 2

Step-by-step explanation:

For this exercise you need to remember the multiplication of signs:

(+)(+)=+\\(-)(-)=+\\(-)(+)=-\\(+)(-)=-

1. Given:

(4x + 2.2)(3x - 5)

Apply the Distributive property:

=12x^2+6.6x-20x-11

Add the like terms:

=12x^2-13.4x-11

You can idenfity that:

- Degree: 2

- Number of terms: 3

2. Given:

(-304 +503 - 12) + (7x^3 - 25 + 6)

Add the like terms:

=187 + 7x^3 - 25 + 6=7x^3+168

You can idenfity that:

- Degree: 3

- Number of terms: 2

3. Given:

(3x^2 - 3)(3x^2 + 3)

Apply Distributive property:

=9x^4-9x^2+9x^2-9

Add the like terms:

=9x^4-9

You can idenfity that:

- Degree: 4

- Number of terms: 2

8 0
3 years ago
What is 6 times 340 = ?
Debora [2.8K]

Answer:

6 x 340 = 2,040

Step-by-step explanation:

3 0
2 years ago
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What is pi?<br> What are the first 3 numbers of pi?<br> Who invented Pi?
emmasim [6.3K]

Answer:

What is pi? The number π (/paɪ/) is a mathematical constant. It is defined as the ratio of a circle's circumference to its diameter, and it also has various equivalent definitions. What are the first 3 numbers of pi? 3.14. Who invented Pi? The symbol π was devised by British mathematician William Jones in 1706 to represent the ratio and was later popularized by Swiss mathematician Leonhard Euler.

Step-by-step explanation:

8 0
3 years ago
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an official playing field (including end zone) for the indoor football league has a length 39 yd longer than its width. the peri
ch4aika [34]

Answer:

42

Step-by-step explanation:

39+39 = 78

162 - 78 = 2 lengths =84

84/2 = 42

5 0
2 years ago
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