If a = 3i - 4j, b = 2i - 5j and c = λi + μj where λ and μ are scalar quantities, find the λ and μ such that λc = 2a + 3b

Abox contains 1 plain pencil and 4 pens. a second box contains 5 color pencils and 5 crayons. one item from each box is chosen at random. what is the probability that a plain pencil from the first box and a color pencil from the second box are selected? write your answer as a fraction in simplest form.

Jude is making cement for a driveway. the instructions show the amount of each ingredient to make 1 batch of cement. complete each statement to adjust the ingredients for each new situation if jude uses these instructions.

What is the distance between the points (2, 5) and (5,9)?