A tube of toothpaste has been completely squeezed out in a long, unbroken straight line. For simplicity's sake, we assume that the tube had the shape of a 15 cm long cylinder with an inner diameter of 2 cm. The opening at one end of the cylinder has a diameter of 4 mm, and the line of toothpaste also forms a cylinder. How long is the line of toothpaste?A tube of toothpaste has been completely squeezed out in a long, unbroken straight line. For simplicity's sake, we assume that the tube had the shape of a 15 cm long cylinder with an inner diameter of 2 cm. The opening at one end of the cylinder has a diameter of 4 mm, and the line of toothpaste also forms a cylinder. How long is the line of toothpaste?

y -5 = (-1/4)(x + 8)

step-by-step explanation:

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region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true