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Taya2010 [7]
3 years ago
9

What is the equation of a line that passes through the points (3, 6) and (8, 4)

Mathematics
1 answer:
Ymorist [56]3 years ago
4 0
First let us find the slope between the two points.

Slope = Change in y / Change in x.

(3, 6) and (8, 4) compares to (x₁, y₁) and (x₂, y₂)

Slope = (y₂ - y₁) / (x₂ - x₁) =  (4 - 6) / (8 - 3) = -2/5 

Slope m = -2/5= -0.4

Using  y = mx + c,   using point (3, 6)

y = -0.4x  + c

6 = -0.4*3 + c

6 = -1.2 + c

6 + 1.2 = c

7.2 = c

c = 7.2

Equation = :       y = -0.4x +c

y = -0.4x + 7.2

y = -4/10  + 72/10

10y = -4x + 72

5y = -2x + 36

Equation =:      5y = -2x + 36

Hope this explains it.
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What is the product of 2X plus 3 and 4X squared minus 5X plus 6
Tju [1.3M]
The product of something means multiplying the terms together.

(2x+3) (4x^2-5x+6)

Secondly you need to distribute the terms to each other (Think of problems like FOIL)

2x * 4x^2 + 2x(-5x) + 2x * 6 + 3 * 4x^2 + 3(-5x) + 3 * 6

Then you must take into account that some of the numbers are negative. (minus-plus rules!)

2x * 4x^2 - 2x * 5x + 2x * 6 + 3 * 4x^2 - 3 * 5x + 3 * 6

Now is the tricky part of simplifying everything. 

2x * 4x^2 = 8x^3 

2x * 5x = 10x^2

2x * 6 = 12x

3 * 4x^2 = 12x^2

3 * 5x = 15x

3 * 6 = 18

8x^3 - 10x^2 + 12x + 12x^2 - 15x + 18

Then you group like terms.

8x^3 - 10x^2 + 12x^2 - 3x + 18

8x^2 + 2x^2 - 3x + 18

The trickiest part of this is distributing all of the terms within the parentheses, once you've done that, it's smooth sailing!


5 0
3 years ago
A probability experiment is conducted in which the sample space of the experiment is Upper S equals StartSet 1 comma 2 comma 3 c
kkurt [141]

Answer:

Step-by-step explanation:

According to the mentioned information, the sample space of the experiment is as follows: S= {7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17, 18} The outcomes of the event E are as follows: E = {7, 8, 9, 10, 11, 12} Therefore, the outcomes of Ec can be calculated as:

E^{c} = {xlx ∈ S , x ∉ E}

Ec = {13, 14, 15, 16, 17, 18}

The outcomes of E^{c} are {13, 14, 15, 16, 17, 18} .

The obtained outcomes of the set Ec are {13, 14, 15, 16, 17, 18} . These are calculated by subtracting the outcomes of the event E from the elements of sample space S.

kindly check the image below for the concluding part if the solution to the question

6 0
3 years ago
The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes were 6 to 5. If there were
Natasha_Volkova [10]

3020

Step-by-step explanation:

ans.

Total ratio of votes=6+5

=11

1 ratio of votes=6644÷11

=604

Ratio of no votes=5

Number of no votes=Ratio of no votes×1 ratio of no votes

=604×5

3020

8 0
3 years ago
HELP! I'LL MARK YOU BRAINLIST
klasskru [66]

Step-by-step explanation:

are in the solution:

(3,1)

(-1,2)

(6,0)

(0,0)

are not

(-2,-1)

(0,-4)

6 0
2 years ago
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