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Romashka [77]
2 years ago
5

The scaredy cats saw each other when they were 10 meters apart. The cats

Mathematics
2 answers:
ivolga24 [154]2 years ago
6 0

Using a linear function, it is found that the cats will be 490 meters apart in 3 minutes.

<h3>What is a linear function?</h3>

A linear function is modeled by:

y = mx + b

In which:

  • m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
  • b is the y-intercept, which is the value of y when x = 0.

In this problem:

  • Initially, they are 10 meters apart, hence b = 10.
  • They go in opposite directions, each at a speed of 80 meters per minute, hence, each minute, they get 160 meters apart, which means that m = 160.

Hence, the equation for their distance after x minutes is:

d(x) = 160x + 10

For 3 minutes, we have x = 3, hence:

d(3) = 160(3) + 10 = 490.

The cats will be 490 meters apart in 3 minutes.

You can learn more about linear functions at brainly.com/question/24282972

Eddi Din [679]2 years ago
6 0

Answer:

490 m

Step-by-step explanation:

run speed = 80 m/min

Therefore, distance ran in 3 minutes = 80 x 3 = 240 m

As the cats are running in opposite directions, if they started from the same point, they would be 240 + 240 = 480 m apart.

However, as they started at a point 10 m apart, we need to add 10 to 480 to calculate the final distance:  480 + 10 = 490m.

Therefore, the cats will be 490m apart after 3 minutes of running in opposite directions (with an initial starting point of 10m apart).

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The value of x on the number line is 24 and - 40

A number line in elementary mathematics is a representation of a graduated straight line that acts as an abstraction for real numbers, represented by the letter R. It is assumed that every point on a number line corresponds to a real number, and that every real number corresponds to a point.

When seen as a geometric space, namely the one-dimensional Euclidean space, the number line, also known as a real line in advanced mathematics, is technically defined as the set R of all real numbers. It can be conceptualized as a linear continuum, metric space, topological space, vector space (or affine space), measure space, or topological space.

The given equation is

|\frac{1}{4}x+2 | -3=5

Solving the equation:

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either x=-8+32 or x=-8-32

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The value of x is 24 and - 40.

To learn more about number line:

brainly.com/question/24644930

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