3 years ago

Write 3 rational number whose value is less than 1/2

Mathematics

1 answer:

fredd [130]3 years ago

6 0

1/3, 1/4, 1/5. I didn’t really understand your question so see if that helps?

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an arch way is modeled by the equation y=-2x^2+8x. A rod is to be placed across the archway at an angle definded by the equation

patriot [66]

So.. hmm check the picture below

now, to know where A and B are, that occurs when the parabolic equation equates the linear one

thus

$\bf y=-2x^2+8x
\\\\\\
x-2.23y+10.34=0\implies \cfrac{x+10.34}{2.23}=y
\\\\\\
y=y\implies -2x^2+8x=\cfrac{x+10.34}{2.23}
\\\\\\
-4.46x^2+17.84x=x+10.34
\\\\\\
0=4.46x^2-16.84x+10.34$

now, running that on the quadratic formula, you end up with the values of 3.00402497440839842242 and 0.77175977895483027713

thus B rounded up is 3.004 and A rounded up is 0.7718

what's the "y" value for B?, well, you can use either the linear or quadratic equation for that, let's use the quadratic one

$\bf B=3.00402497440839842242
\\\\\\
f(B)=-2B^2+8B\implies f(B)=5.98386770152842978586$