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Zarrin [17]
3 years ago
6

Find the difference in simplest form for 3/5-1/7

Mathematics
1 answer:
vitfil [10]3 years ago
6 0

3/5 - 1/7

Find the LCM of 5 and 7 to find equivalent fractions for both fractions

LCM = 35

3/5 = 21/35

1/7 = 5/35

So 21/35 - 5/35 = 16/35

I'm pretty sure that's the simplest form because I can't think of a common factor of 16 and 35 by which to reduce it further.

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Define f(0,0) in a way that extends f to be continuous at the origin. f(x, y) = ln ( 19x^2 - x^2y^2 + 19 y^2/ x^2 + y^2) Let f (
kirill115 [55]

Answer:

f(0,0)=ln19

Step-by-step explanation:

f(x,y)=ln(\frac{19x^2-x^2y^2+19y^2}{x^2+y^2}) is given as continuous function, so there exist lim_{(x,y)\rightarrow(0,0)}f(x,y) and it is equal to f(0,0).

Put x=rcosA annd y=rsinA

f(r,A)=ln(\frac{19r^2cos^2A-r^2cos^2A*r^2sin^2A+19r^2sin^2A}{r^cos^2A+r^2sin^2A})=ln(\frac{19r^2(cos^2A+sin^2A)-r^4cos^2Asin^a}{r^2(cos^2A+sin^2A)})

we know that cos^2A+sin^2A=1, so we have that

f(r,A))=ln(\frac{19r^2-r^4cos^2Asin^a}{r^2})=ln(19-r^2cos^2Asin^2A)

lim_{(x,y)\rightarrow(0,0)}f(x,y)=lim_{r\rightarrow0}f(r,A)=ln19

So f(0,0)=ln19.

8 0
3 years ago
Twelve less than four times a number is -11. *
Nutka1998 [239]
EXPLANATION:
Let the no. be x.
4x-12= -11
4x= -11+12
x=1/4
x=0.25

ANSWER:
x=0.25

Hope it helps u! :)
6 0
2 years ago
Let g(x)=2x and h(x)=x^2+4 find the value. (hog)(a)
lisov135 [29]
In short, (h o g)(a) is just h(    g(a)    ).

so what we can do is simply get g(a) first and then plug that in h(x).

\bf \begin{cases}
g(x)&=2x\\
h(x)&=x^2+4\\
(h\circ g)(a)&=h(~~g(a)~~)
\end{cases}
\\\\\\
g(a)=2(a)\implies g(a)=2a
\\\\\\
h(~~g(a)~~)\implies h(~~2a~~)=(2a)^2+4
\\\\\\
h(~~2a~~)=(2^2a^2)+4\implies  h(~~2a~~)=4a^2+4
8 0
3 years ago
My brain is melting. I have no idea how to do this xD
shtirl [24]

Answer:

its 8, so insert to forms of 8!!! so a and c!

Step-by-step explanation:

4 0
3 years ago
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Match the terms below to their definition. Circumcenter
Natasha_Volkova [10]

Answer:

passes through all verrtices of a polygon

Step-by-step explanation:

4 0
3 years ago
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