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4 years ago

3 over 7 - 5 over 6. Simplify and turned into a mixed fraction simplified

Mathematics

1 answer:

valina [46]4 years ago

6 0

3/7-5/6==>
get a common denominator...18/42-35/42==>
subtract nominators...-17/42
answer=-17 over 42 or -17/24

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If the center of a circle is (-5, -8) and contains the point (16, 68) what is the equation ?

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Answer:

$(x+5)^2+(y+8)^2=6217$

Step-by-step explanation:

Hi there!

Equation of a circle: $(x-h)^2+(y-k)^2=r^2$ where the circle is centered at (h,k) and r is the radius

1) Plug the center of the circle into the equation

Center: (-5,-8)

$(x-h)^2+(y-k)^2=r^2\\(x-(-5))^2+(y-(-8))^2=r^2\\(x+5)^2+(y+8)^2=r^2$

2) Determine r²

Plug in the given point (16,68)

$(x+5)^2+(y+8)^2=r^2\\(16+5)^2+(68+8)^2=r^2\\(21)^2+(76)^2=r^2\\441+5776=r^2\\6217=r^2$

Therefore, r² is equal to 6217. Plug this back into $(x+5)^2+(y+8)^2=r^2$ :

$(x+5)^2+(y+8)^2=6217$

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Step-by-step explanation:

Formula:

$k\times ln(a)=ln(a^{k})$

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$ln(a)-ln(b)=ln(\frac{a}{b})$

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= $ln(\frac{x^\frac{1}{4}}{y^{\frac{-1}{2}} } )+ln(z^{\frac{2}{3}})$

= $ln(x^\frac{1}{4}}{y^{\frac{1}{2}}z^{\frac{2}{3} })$

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