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lidiya [134]
3 years ago
13

Look at the graph shown below:

Mathematics
1 answer:
ElenaW [278]3 years ago
7 0
So.. take a peek at the picture... let's get two points from it, hmm say 0,4 notice it touches the y-axis there, and say hmmm -4, 1, almost at the bottom of the line

\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%   (a,b)
&({{ 0}}\quad ,&{{ 4}})\quad 
%   (c,d)
&({{ -4}}\quad ,&{{ 1}})
\end{array}
\\\\\\
% slope  = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{1-4}{-4-0}

\bf y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=0\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}\\
\left. \qquad   \right. \uparrow\\
\textit{point-slope form}

once you get the slope and solve for "y", that'd be the equation of the line.
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Your answer is x=17 1/3
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Find the value of x. Then the measure of each angle
Shtirlitz [24]
The interior angles of a triangle must add to 180 degrees.

110+5x+2x=180
110+7x=180
7x=70
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5(10)=50 degrees
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4 0
3 years ago
What is the factored form of 343 + X6?
yan [13]

Answer:

Step-by-step explanation: 1.1      Factoring:  343-x6

Theory : A difference of two perfect squares,  A2 - B2  can be factored into  (A+B) • (A-B)

Proof :  (A+B) • (A-B) =

        A2 - AB + BA - B2 =

        A2 - AB + AB - B2 =

        A2 - B2

Note :  AB = BA is the commutative property of multiplication.

Note :  - AB + AB equals zero and is therefore eliminated from the expression.

Check :  343  is not a square !!

Ruling : Binomial can not be factored as the

difference of two perfect squares

Polynomial Roots Calculator :

1.2    Find roots (zeroes) of :       F(x) = -x6+343

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  343  and the Trailing Constant is  -1.

The factor(s) are:

of the Leading Coefficient :  1,7 ,49 ,343

of the Trailing Constant :  1

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        342.00    

     -1       7        -0.14        343.00    

     -1       49        -0.02        343.00    

     -1       343        -0.00        343.00    

     1       1        1.00        342.00    

     1       7        0.14        343.00    

     1       49        0.02        343.00    

     1       343        0.00        343.00    

Polynomial Roots Calculator found no rational roots

Final result :

 343 - x6

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<u>Answer</u>

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4 0
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