Find the equation of the lines described below (give the equation in the form y = mx + c): (a) passing through (3, 4) and (5, 4), (b) passing through (0, 2) and (4, 0), (c) passing through (-2, 3) and (2,-5).

Q: 3 -4- -0- 4. 2.

A:

Q: lim, 2+ f(x) = →2+ lim 2- f(x) =

A: Given query is to find indicated limit.

Q: 3y² - 2y-1 (-)-5y²- 2y +6

A:

Q: 2) 36³x=¹

A:

Q: Expand -5x (2 - 3y)

A: Expand -5x (2 - 3y)

Q: 5 1 1 + 2r dr

A:

Q: FIND S + 4 (s² – 8S + 6) -

A:

Q: expand (a-b)7

A: The solution is given in the next step.

Q: 1+7/7 + 8

A: Answar would be 10

Q: Expand (x + y) 8.

A: Given: The expression x+y8.

Q: 4root2*4root2

A:

Q: +–3m+–9m+4+5+–10m

A: The expression is given as 1+–3m+–9m+4+5+–10m. Simplifying the given expression. 1+–3m+–9m+4+5+–10m…

Q: 5у 10y

A: Given,    5y/10y    Cancelling y from both numerator and denominator to get,    5/10   Now, 5/10 can…

Q: 4. Expand and simplify (2x + 3)*

A: We have to expand and simplify the following expression: . We will apply the binomial theorem to…

Q: d. 1 3a+18 = 1 - 8 a+6

A:

Q: Evaluate (33)2

A: Given: 332Power rule amn=am×nSolution:332=33×2=36(33)2=729

Q: 5 L s² + 2s – 3

A: We know that, Laplace transform of 1/(s-1) = e^t

Q: 10. Find the sum of the coefficients of (2x– 3)°. c. -6560 d. -5120 а. -5660 b. -6780

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Q: limx→- f(x) limo+ f(x) limx→ = = =

A:

Q: (2) 4 2. 2. 2/3

A:

Q: 2) Expand the following a) Csa2-2b)

A: I have to exapand (5a^2-2b)

Q: 18(9+7)+3

A: 18(9+7)+3

Q: 14 1

A: Given triangle is What is another side length?

Q: find: (m+I) m!

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Q: expand (x+y)6

A:

Q: 8y3 + 216

A:

Q: ydy (1+ у)*

A: We have to find the integral.

Q: Find A.

A: Given

Q: 3 power 3

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Q: (2 + V-9 )3

A:

Q: 3(m – 5) + m

A: 3(m-5)+m=0 3m-15+m=0 add both side 15 we get 2m=15

Q: 8(14-9)+5 32+6

A: The given expression is