What is the parallel slope intercept form pls help?

Mathematics

1 answer:

malfutka [58]3 years ago

8 0

<h2>Answer:</h2>

If the line is parallel to the one given, their slopes are the same, so we need to find the y-intercept, then we can determine the slope-intercept form parallel to the given line.

$-1 = 4(4) + b\\\\-1 = 16 + b\\\\-17 = b$

Now that we have the y-intercept, we can create the equation.

$y = 4x - 17$

We can prove this by graphing both lines, like so.

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A dog is leashed to the corner of a house with a 20 ft long leash. How much running area does the dog have? Round your answer to

11111nata11111 [884]

Answer:

The dog's running area is approximately 942 feet².

Step-by-step explanation:

The dog is leashed to a fixed point, the leash has a length of 20 ft, therefore he can rotate around that point at the maximum distance equal to the length of the leash. This pattern forms a circle, but there is an obstruction, which is the corner of the house. This obstruction takes an arc of the original circle, so the running area of the dog is the area of the whole circle minus the area of the arc formed by the corner of the house.

$\text{dog's area} = \text{circle's area} - \text{arc's area}\\\\\text{dog's area} = pi*(20^2) - \frac{90}{360}*pi*(20^2)\\\\\text{dog's area} = \frac{270}{360}*pi*(400)\\\\\text{dog's area} = 942.477\text{ feet}^2$