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a. 121

b. 32100

c. 0.2

d. 400

Step-by-step explanation:

a. Quick disclaimer: If there's a decimal point on the divisor, in this case it would be .05, you have to move the decimal point until it has no decimal, in this case .05 would become 5.0 or just 5. The other number also has to have it's decimal point moved as much as the divisor, in this case two times, so it would be from 6.05 to 605. So with this in mind: 605/5 = 121

b. 96.3/.003 = 96300/3 = 32100

c. 0.12/0.6 = 1.2/6 = 0.2

d. 3.2/.008 = 3200/8 = 400

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.