Answer:
Step-by-step explanation:
well you start at origin 0 because there is no y-intercept so you would do rise over run up 1 over 4, 1/4 is your slope
Answer:
there are 3.
Step-by-step explanation:
3, 4 and 3 are all significant numbers
Answer:
(1, 3)
Step-by-step explanation:
You are given the h coordinate of the vertex as 1, but in order to find the k coordinate, you have to complete the square on the parabola. The first few steps are as follows. Set the parabola equal to 0 so you can solve for the vertex. Separate the x terms from the constant by moving the constant to the other side of the equals sign. The coefficient HAS to be a +1 (ours is a -2 so we have to factor it out). Let's start there. The first 2 steps result in this polynomial:
. Now we factor out the -2:
. Now we complete the square. This process is to take half the linear term, square it, and add it to both sides. Our linear term is 2x. Half of 2 is 1, and 1 squared is 1. We add 1 into the set of parenthesis. But we actually added into the parenthesis is +1(-2). The -2 out front is a multiplier and we cannot ignore it. Adding in to both sides looks like this:
. Simplifying gives us this:
On the left we have created a perfect square binomial which reflects the h coordinate of the vertex. Stating this binomial and moving the -3 over by addition and setting the polynomial equal to y:
From this form,
you can determine the coordinates of the vertex to be (1, 3)
Answer:
A) 5
Step-by-step explanation:
distance = √(distance between x coordinates² + distance between y coordinates²)
the horizontal distance between the two points is 4
the vertical distance between the two points is 3
to prove this, if you started at Q and went 4 points right and then 3 points up, you would get to P
distance = √(4²+3²) = √25 = 5
Answer: well the thing is 12, i have no idea how to do it though. sorry
Step-by-step explanation:
