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Readme [11.4K]
3 years ago
12

Find the values of x and y. (image below)

Mathematics
1 answer:
DanielleElmas [232]3 years ago
5 0

Opposite angles have the same measures. This allows you to set and solve the following equations:

\begin{cases} 26-6x = 20-8x \\ 5y = 9y-76 \end{cases}

To solve both equations, let's move all the terms involving the variables on the left hand side, and all constant terms on the right hand side:

\begin{cases} -6x+8x = 20-26 \\ 5y-9y = -76 \end{cases}

Sum like terms:

\begin{cases} 2x = -6 \\ -4y = -76 \end{cases}

Divide the first equation by 2 and the second by -4:

\begin{cases} x = -3 \\ y = 19 \end{cases}

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Subtract x3 – 7x2 + 3 from the sum of - 3x3 + x2 and – x2 + 4x - 3.
Vesnalui [34]

Answer:

x3 – 7x2 + 3------  x3 - 7x2 + 3

3x3 + x2-----------x2 • (3x + 1)

x2 + 4x - 3------------ x2 + 4x - 3

Step-by-step explanation:

Step  1  :

Equation at the end of step  1  :

 ((x3) -  7x2) +  3

Step  2  :

Polynomial Roots Calculator :

2.1    Find roots (zeroes) of :       F(x) = x3-7x2+3

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  1  and the Trailing Constant is  3.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,3

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -5.00      

     -3       1        -3.00        -87.00      

     1       1        1.00        -3.00      

     3       1        3.00        -33.00    

Hope this helps.

3 0
3 years ago
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Answer:

This is a question you should know in trig.

You should search up how to solve for simple trig functions

The cos of 60 degrees is 1/2 just because you asked

7 0
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deff fn [24]

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Since there is already a 90° angle, the other 2 angles must also add up to 90°.

The only answer that fits is x = 9.

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Step-by-step explanation:

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