Hi

Through(3,4) perpendicular to y =-3x+2 

y = (1/3)x + b  Slopes of perpendicular lines are negative reciprocals

(3,4)

4 = 1 + b    substituting the ordered pair to solve for b

3 = b

y = (1/3)x + 3



2nd question

Let x represent the 45% solution, then (5-x) would represent the 40% solution

.40(5-x) + .45x = .43*5L

solving for x

.05x = .43*5 - .40*5L

.05x = .03*5 = .15L

x = 3 L of 45% solution and (5-3) or 2L of 40% solution

checking our answer

.40*2 + .45*3 = .08 + 1.35 = 2.15 

RELATED QUESTIONS

Dmitri needs 5 liters of a 43% solution of sulfuric acid for a research project in... (answered by CharlesG2,ewatrrr)

Dmitri needs 7 liters of a 24% solution of sulfuric acid for a research project in... (answered by josmiceli)

Dmitri needs 7 liters of a 24% solution of sulfuric acid for a research project in... (answered by dragonwalker)

Dmitri needs 9 liters of a 57% solution of sulfuric acid for a research project in... (answered by Alan3354)

can you show me how to do this step by step so i can use this as notes for future... (answered by josgarithmetic)

Dmitri needs 7 liters of a 36% solution of sulfuric acid for a research project in... (answered by richwmiller)

1- Arielle needs 9 liters of a 65% solution of sulfuric acid for a research project... (answered by lwsshak3)

Need help with Algebra word problem.
A science teacher has a 2 pint solution of  3%... (answered by Paul)

How many liters of a 40% sulfuric acid solution should be mixed with 4 liters of a 24%... (answered by nerdybill)