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Luda [366]
3 years ago
14

Please helllpppp......​

Mathematics
2 answers:
MrRissso [65]3 years ago
6 0

Answer:

y = 2x + 10

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 2, thus

y = 2x + c ← is the partial equation

To find c substitute (- 3, 4) into the partial equation

4 = - 6 + c ⇒ c = 4 + 6 = 10

y = 2x + 10 ← equation of line

worty [1.4K]3 years ago
6 0

When you know a point (a,b) and the slope m of a line, you can write its equation as

y-b=m(x-a)

Plugging your values yields

y-4=2(x-(-3)) \iff y=2x+10

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Answer: Horizontal Asymptote: y = 7

Y = 3^x + 7

Step-by-step explanation:

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aivan3 [116]

Answer:

We verified that a^3+b^3+c^3-3abc=\frac{a+b+c}{2}[(a-b)^2+(b-c)^2+(c-a)^2]

Hence proved

Step-by-step explanation:

Given equation is a^3+b^3+c^3-3abc=\frac{a+b+c}{2}[(a-b)^2+(b-c)^2+(c-a)^2]

We have to prove that a^3+b^3+c^3-3abc=\frac{a+b+c}{2}[(a-b)^2+(b-c)^2+(c-a)^2]

That is to prove that LHS=RHS

Now taking RHS

\frac{a+b+c}{2}[(a-b)^2+(b-c)^2+(c-a)^2]

=\frac{a+b+c}{2}[a^2-2ab+b^2+b^2-2bc+c^2+c^2-2ac+a^2]  (using (a-b)^2=a^2-2ab+b^2)

=\frac{a+b+c}{2}[2a^2-2ab+2b^2-2bc+2c^2-2ac]  (adding the like terms)

=\frac{a+b+c}{2}[2a^2+2b^2+2c^2-2ab-2bc-2ac]

=\frac{a+b+c}{2}\times 2[a^2+b^2+c^2-ab-bc-ac]

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Now multiply the each term to another each term in the factor

=a^3+ab^2+ac^2-a^2b-abc-a^2c+ba62+b^3+bc^2-ab^2-b^2c-abc+ca^2+cb^2+c^3-abc-bc^2-ac^2]

=a^3+b^3+c^3-3abc (adding the like terms and other terms getting cancelled)

=a^3+b^3+c^3-3abc =LHS

Therefore LHS=RHS

Therefore a^3+b^3+c^3-3abc=\frac{a+b+c}{2}[(a-b)^2+(b-c)^2+(c-a)^2]

Hence proved.

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