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ira [324]
3 years ago
14

A line contains the points (-7,15) and (10,27) what is the slope of the line as a simplified fraction?

Mathematics
1 answer:
Gwar [14]3 years ago
8 0

Answer:

The slope of line for given points is   \frac{12}{17}

Step-by-step explanation:

Given points of line as :

A  = ( - 7 , 15 ) i, e x_1 = - 7 ,  x_1 = 15

B = ( 10 , 27 )  i.e  x_2 =  10 , y_2 = 27

Let The slope of line be m

So , The slope with two points is given as equation

m = \frac{y_2 - y_1}{x_2 - x_1}

Or, m =  \frac{27 - 15}{10 + 7}

Or, m =  \frac{12}{17}

Hence The slope of line for given points is   \frac{12}{17} .  Answer

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the equation might be 8x=y.
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3 years ago
Determine the arithmetic sequence if the fourth term is negative six and the eleventh term is negative thirty four
ICE Princess25 [194]
An arithmetic sequence takes the form

a_n=a_{n-1}+d

where d is the common difference between terms. You can solve for a_n in terms of any of the previous terms of the sequence:

a_n=a_{n-1}+d\implies~a_n=a_{n-2}+2d\implies~a_n=a_{n-3}+3d\implies\cdots\implies~a_n=a_{n-k}+kd

for some integer 1\le k\le n-1

Continuing in this way, you know that the sequence can be defined explicitly in terms of the first term a_1

a_n=a_1+(n-1)d

Given that the 4th term is a_4=-6 and the 11th term is a_{11}=-34, you have the following system of equations.

\begin{cases}-6=a_1+(4-1)d\\-34=a_1+(11-1)d\end{cases}

Solving this system for the two unknowns yields a_1=6 and d=-4.

So, the sequence is given explicitly by

a_n=6+(n-1)(-4)=-4n+5
3 0
3 years ago
What is the constant term in the polynomial 2x3 - 8x2 + 5x -28
cricket20 [7]

Answer:

Constant Term

The term in a simplified algebraic expression or equation which contains no variable(s). If there is no such term, the constant term is 0.

 

Example:   –5 is the constant term in p(x) = 2x3 – 4x2 + 9x – 5

 

6 0
2 years ago
The length of a rectangle is 1 inch less than twice the width. the area is 21 inches^2 what is the length?
ale4655 [162]
Hi.

Formula for area: A = 2l + 2w, where l is the length and w is the width.

Given information:
• l = 2w - 1
• A = 21 in^2

We can plug in our values accordingly and solve for w.

A = 2l + 2w
21 = 2(2w - 1) + 2w
21 = 4w - 2 + 2w
23 = 6w - 2
23 = 6w
3.83 = w

Plug 3.83 for w into 2w - 1 to find length.

2(3.83) - 1
7.66 - 1
6.66

Finally, check your work by plugging your values into the original equation.

21 = 2(6.66) + 2(3.83)
21 = 13.32 + 7.66
21 = 20.98

Answer:
The length is approximately 6.66 inches.
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3 years ago
Graph the following equation.<br> y + 2 = -2/3(x-4)
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just go on desmos.com

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