A line segment is drawn from (+6, +4) to (+9, +4) on a coordinate grid.

1 answer:

Rudiy273 years ago

6 0

Letter c. add 9-6 explains one way that the length of this line segment can be determined. In order to verify this for yourself, you can plot these two point on a Cartesian coordinate plane and manually measure the length of the line. Mathematically, the length of a line may be calculated by the distance formula given as: sqrt[(x2-x1)^2+(y2-y1)^2]

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A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.

Stels [109]

Answer:

The answer is below

Step-by-step explanation:

A function show the relationship between an independent variable and a dependent variable. The independent variable (input) does not depend on other variables while the dependent variable (output) depend on other variables.

In this question, amount of water in tank is dependent variable and the time taken is the independent variable. Let y represent amount of water in tank and x represent the time it has been draining. Therefore:

a) This can be represented by the equation:

y = 450 - 20x

At 7 minutes (x = 7)

y = 450 - 20(7)

y = 310 gallons

b) For 200 gallons (y = 200), the time taken is:

200 = 450 - 20x

200 - 450 = -20x

-20x = -250

x = -250/-20

x = 12.5 minutes

c) y = 450 - 20x