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3 years ago

Write an equation in point-slope form for the line that passes through the point with the given slope. (-5, -8), m = -2 *

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

8 0

Answer:

$y+8=-2(x+5)$

Step-by-step explanation:

To create the equation using the point slope form which is $y-y_{1} =m(x-x_{1} )$ substitute the terms with the points given above.

$y-(-8)=-2(x-(-5))\\$

After plugging it in, then you simplify the terms which gives you...

$y+8=-2(x+5)$

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Answer:

The goat would cover 9 meters in taking 24 steps.

Step-by-step explanation:

There is a mistake in the question so the correct question is below:

A horse takes 3 steps to walk the same distance for which a goat takes 4 steps. Suppose 1 step of the horse covers 1/2 of a metre. How many metres would the goat cover in taking 24 steps?

Now, to find the meters goat cover in taking 24 steps.

As 1 step of horse covers = $\frac{1}{2} \ meter.$

So, 3 step of horse covers = $\frac{1}{2} \times 3$ $=\frac{3}{2} =1.5\ meters.$

Thus, 3 steps of horse covers = 1.5 meters.

As given, the horse takes 3 steps to walk the same distance for which a goat takes 4 steps.

So, the distance covers by goat in 4 steps = 1.5 meters.

Now, to get the meters goat cover in taking 24 steps by using unitary method:

If, the distance cover by the goat in 4 steps = 1.5 meters

So, the distance cover by the goat in 1 step = $\frac{1.5}{4}$

Thus, the distance cover by the goat in 24 steps = $\frac{1.5}{4}\times 24$

= $\frac{36}{3}$

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