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3 years ago

What are the solutions to the system of equations graphed below?

Mathematics

1 answer:

PIT_PIT [208]3 years ago

3 0

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where the graphs intersect

The graphs intersect at (-3,-3) and at (0,6)

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Find a general linear equation Ax+By+C=0 of the straight line that passes through the point (1,1) and has slope 1/5.

dedylja [7]

$\bf \begin{array}{lllll}
&x_1&y_1\\
% (a,b)
&({{ 1}}\quad ,&{{ 1}})\quad 
% (c,d)

\end{array}
\\\quad \\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies\cfrac{1}{5}
\\ \quad \\
% point-slope intercept
y-{{ y_1}}={{ m}}(x-{{ x_1}})\qquad 
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3 years ago

What is 0.81818182 as a fraction

tia_tia [17]

Answer: $\frac{9}{11}$ .

Step-by-step explanation: The given decimal is 0.81818182, which is recurring and non-terminating decimal form.

Let us consider that

$x=0.81818182\\\Rightarrow 100x=81.818182\\\Rightarrow100x=81+.81818182\\\Rightarrow100x=81+x\\\Rightarrow 100x-x=81\\\Rightarrow99x=81\\\Rightarrow x=\dfrac{81}{99}\\\Rightarrowx=\dfrac{9}{11}$ .

Thus, the fractional form of the decimal 0.81818182 is 9/11.

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3 years ago