Mrs. long just got a new puppy! the puppy is learning how to run on hard wood floors. the puppy is running at a rate if 4 feet per second straight toward a wall that is 20 feet away. select all that apply to this situation. the y-intercept is 4 ft since the puppy is running at a rate of 4 feet per second. the y-intercept is 20 ft because the puppy is 20 feet away from the wall. the puppy will run into the wall after 5 seconds. the slope is 4 ft per second since this is how fast the puppy is running. the slope is -4 ft per second since the puppy is running at a rate of 4 ft per second.

The puppy will run into the wall after 5 seconds and the slope is 4 ft per second since this is how fast the puppy is running.  

Step-by-step explanation:

The answer choices to this question are assuming that the relationship between the quantities being measured are linear.  In a linear equation, the slope represents the rate of change.  In this case, the rate is 4 feet per second, so the slope is 4 ft/sec since this is how fast the puppy is running.  In a linear equation, the y-intercept represents the initial, or starting, value.  Although the wall is 20 feet away, the puppy starts from a distance of zero (0) and would end at a distance of 20 feet.  In the linear equation, the 20 feet would represent the total ('y') not the y-intercept.  If 20 ft is the total, our equation would be: 20 = 4x, which means x = 5 which is the number of seconds it would take the puppy to run into the wall.

the answer is a

step-by-step explanation:

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.