Answer:
(1) 2 (2) (-1/2,0) (3) (0,1)
Step-by-step explanation:
The slope of the line is the number times x. This equation is y=mx+b, where m is the slope and b is the y-intercept. In this case, m is 2, so we have our slope. The y-intercept is easy, as we already know it to be (0,1). The x-intercept is the point where the line hits x when y=0. To solve for the x-intercept, we set y to 0 and solve. We have 0=2x+1. First, we subtract 1 from both sides and get -1=2x. Next, to get x by itself, divide both sides by 2. Now we have -1/2=x. Now we have our x coordinate for our x-intercept. Because of this, we get (-1/2,0) as our x-intercept.
Answer:
a
Step-by-step explanation:
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The puppy runs a distance of D) 18 - 19 meters in one lap.
Step-by-step explanation:
Step 1; It is given that the leash measures 3 meters long. He runs pulling the leash as much as he can creating circles. Even though he keeps pulling, the leash will remain at a constant length of 3 meters. So we need to calculate the perimeter of the circle.
Step 2; The perimeter of any given circle is 2π times the radius. The radius of this circle is equal to 3 meters.
Perimeter of the circle = 2π × r = 2 × 3.1415 × 3 meters = 18.85 meters.
So the puppy runs a distance of 18.85 meters in a lap.
