When you eliminate y What is the resulting equation of 2x+y-4=0 and 2x-y-4=0

1 answer:

6 0

$\begin{cases} 2x+y-4=0 \\ 2x-y-4=0\end{cases}\\ + \ \ -------\\ 4x-8=0\\ \\4x=8 \ \ /:4\\ \\x=\frac{8}{4}\\ \\x=2$

$2x+y-4=0\\ \\ 2*2+y-4=0\\ \\ 4+y -4 =0\\ \\y=0\\ \\\begin{cases} x=2 \\ y=0\end{cases}$

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Hey guys please solve this basic equation for me <br> 5 + 2x < 9

nikitadnepr [17]

Answer:

x < 2

Step-by-step explanation:

Given

5 + 2x < 9 ( subtract 5 from both sides )

2x < 4 ( divide both sides by 2 )

x < 2

6 0

3 years ago

Write the equation of a line perpendicular to y=2x-5 that passes through the point (-2,5)

yawa3891 [41]

y = mx + b

The product of slopes of perpendicular lines is -1. The slope of the given line is 2, so the slope of the perpendicular line is -1/2.

y = (-1/2)x + b

Now use the given point to find b and finish from here.

-5 = (-1/2)(2) + b

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3 0

3 years ago

The diameter of each wheel of a bicycle is 27 inches. If you are traveling at a speed of 20 miles per hour on this bicycle, thro

klasskru [66]

Notice, you've got a diameter in inches
and a linear velocity in miles
thus, you'd need to convert first

$\bf v=rw\implies \cfrac{v}{r}=w\qquad 
\begin{cases}
v=\textit{linear speed}\\
r=radius\\
w=\textit{angular speed}\\
 --------------\\
v=20\frac{mi}{h}\\
r=\frac{diameter}{2}=\frac{27}{2}
\end{cases}
\\\\
\textit{now, converting 20miles to inches}
\\\\
\cfrac{20mi}{h}\cdot \cfrac{5280ft}{mi}\cdot \cfrac{12in}{ft}\implies \cfrac{20\cdot 5280\cdot 12\ in}{h}\impliedby v
\\\\\\
\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}=w$

now, whatever that is, you'll need to divide it by a revolution, recall, a revolution is $2\pi$
thus $\bf \cfrac{\qquad \boxed{\cfrac{1267200\frac{in}{h}}{\frac{27}{2}in}}\qquad }{2\pi }=revolutions$