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shtirl [24]
4 years ago
13

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 ?
vlabodo [156]

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

<u>1) Plug the center of the circle into the equation</u>

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

<u>2) Determine r²</u>

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

I hope this helps!

5 0
3 years ago
Combine the terms and write the answer as one logorithm. Please show work.
tankabanditka [31]

Answer:ln(x^{\frac{1}{4}}y^{\frac{1}{2}}z^{\frac{2}{3}})

Step-by-step explanation:

Formula:

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

ln(a)+ln(b)=ln(ab)

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

\frac{1}{4}\times ln(x)=ln(x^{\frac{1}{4}})

\frac{-1}{2}\times ln(x)=ln(x^{\frac{-1}{2}})

\frac{2}{3}\times ln(x)=ln(x^{\frac{2}{3}})

Working:

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

=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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