Help me please thanks

Mathematics

1 answer:

stiks02 [169]3 years ago

6 0

We have slope intercept form. Parallel means the same slope, and we get to choose the intercept to fit the new point (-6,0).

y = (1/3) x + b

0 = (1/3) (-6) + b

2 = b

Answer y = (1/3) x + 2 third choice

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Stella [2.4K]

Answer:

1 ≤ x < 7

Step-by-step explanation:

−2+3≤x−3+3<4+3 (Add 3 to all parts)

3 0

3 years ago

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.

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