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Sveta_85 [38]
2 years ago
7

A line passes through the points (1,2) and (–5,1).

Mathematics
1 answer:
faltersainse [42]2 years ago
4 0

Answer:

y-2=1/6(x-1)

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(1-2)/(-5-1)

m=-1/-6

m=1/6

y-y1=m(x-x1)

y-2=1/6(x-1)

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I need someone to solve this math problem by elimination for me. <br><br> 3X+2y=6<br> -x+y=-2
FinnZ [79.3K]
3x + 2y =   6 ⇒ -3x - 2y = -6
 -x +   y = -2 ⇒ <u>-3x + 3y = -6</u>
                                  <u>-5y</u> = <u>0</u>
                                   -5    -5
                                     y = 0
                         3x + 2(0) = 6
                             3x + 0 = 6
                           <u>        - 0 - 0</u>
                                   <u>3x</u> = <u>6</u>
                                    3     3
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8 0
2 years ago
Five whole numbers are written in order
xenn [34]

Answer:

The values of x and y is given by the equation 4x-y=20+y.

Step-by-step explanation:

Given : Five whole numbers are written in order  4 6 x y 10 , the mean and median of the five numbers are the same.

To find : The values of x and y ?

Solution :

Observations 4, 6, x, y, 10.

Mean is summation of observation divided by number of observation.

i.e. m=\frac{\sum x_n}{n}

m=\frac{4+6+x+y+10}{5}

m=\frac{20+x+y}{5}

Median is middle term of observations.

Median of odd terms M=\frac{n+1}{2}^{th} term

M=\frac{5+1}{2}^{th}

M=3^{rd} term

M=x

The mean and median of the five numbers are the same.

i.e. \frac{20+x+y}{5}=x

20+x+y=5x

4x-y=20+y

The values of x and y is given by the equation 4x-y=20+y.

5 0
3 years ago
Read 2 more answers
Find the intercept of g(n)=-2(3n-1)(2n+1)
vaieri [72.5K]
To find the intercepts of this give function of g(n), we have to find both the points present on the axis. That is, X-Intercept axial or axis point and the Y-Intercept axial or axis point and apply the zero factor principle to get the actual points on the graph for both the respective intercepts. Let me make it simpler, by showing the whole process via the LaTeX interpreter equation editor.

The X-Intercept is that actual point present in the graphical interpretation where the Y-axis is taken as zero, this makes us to point out the position of X-Intercept points on its X-axis and Y-axis. Take the variable "n" as the variable of "x", it will not change any context or such, we can take any variables for calculations, it does not hinder the processing of Intercepts for the axial points on a graph.

\boxed{\mathbf{\therefore \quad -2(3x - 1)(2x + 1) = 0}}

By the zero factor principle, both of them can be separately calculated as a zero on their either sides of the expression.

\mathbf{\therefore \quad 3x - 1 = 0}

\mathbf{3x - 1 + 1 = 0 + 1}

\mathbf{3x = 1}

\mathbf{\dfrac{3x}{3} = \dfrac{1}{3}}

\mathbf{\therefore \quad x = \dfrac{1}{3}}

Similarly, for the second X-Intercept point for the value of 0 in the Y-axis or Y axial plane in a 2 dimensional Graphical representation is going to be, As per the zero factor principle:

\mathbf{\therefore \quad 2x + 1 = 0}

\mathbf{2x + 1 - 1 = 0 - 1}

\mathbf{2x = - 1}

\mathbf{\dfrac{2x}{2} = \dfrac{- 1}{2}}

\mathbf{\therefore \quad x = -\dfrac{1}{2}}

Then the X-Intercept here becomes with our provided points as:

\boxed{\mathbf{\underline{X-Intercept: \quad \Bigg(\dfrac{1}{3}, \: 0 \Bigg), \: \: \: \: \Bigg(-\dfrac{1}{2}, \: 0 \Bigg)}}}

Therefore, for our Y-Intercept axial point the X axial plane will instead turn out to be a value with zero on a Graphical representation to obtain the actual points for Y-axis and the Y-Intercept for x = 0 as a point on the graph itself.

Just substitute the value of "0" in "x" axis as a variable on the provided expression. Therefore:

\boxed{\mathbf{= -2(3 \times 0 - 1) (2 \times 0 + 1)}}

\mathbf{y = - 2 (0 - 1) (0 + 1)}

\mathbf{y = - 2 (- 1) (0 + 1)}

\mathbf{y = - 2 (- 1) \times 1}

\mathbf{y = 2 \times 1 \times 1}

\mathbf{\therefore \quad y = 2}

Then, the Y-Intercept would definitely be as per the X-axis lying on the point of zero.

\boxed{\mathbf{\underline{Y-Intercept: \quad \big(0, \: 2 \big)}}}

The final coordinating points for X-Intercept and Y-Intercept for their X-axis and Y-axis will be.

\boxed{\mathbf{\underline{X \: Intercepts: \: \: \Bigg(\dfrac{1}{3}, \: 0 \Bigg), \: \: \: \: \Bigg(-\dfrac{1}{2}, \: 0 \Bigg); \: \: Y \: Intercepts: \: \: \big(0, \: 2 \big)}}}

Hope it helps.
6 0
3 years ago
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Maurinko [17]
The best way to do this is to set up a proportion

420          x
------  = ------
600        100

then cross multiply and divide

420 times 100 = 42000/600=70

the correct answer is C. 70 people

I hope I've helped!
8 0
3 years ago
Which inequality best represents the graph? O A. 2x + y = 6 O B. x + 2y 6 O c. 2r- y&lt; 6 O D. 2x - y &gt; -6 E. 2x + y26​
Misha Larkins [42]

Answer:

It would be A

Step-by-step explanation:

5 0
3 years ago
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