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)
D. 0.75 is the correct answer
explanation- 2 out of the 8 tiles are not blue A. so 6 out of 8 tiles would round equal 75% chance of not getting a blue A tile
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Answer: (w² + 10)inches²
Step-by-step explanation:
Since the width of the rectangular blanket is given as w and the length of the blanket is 10inches greater than it's width, therefore the length will be:
= 10 + w.
Therefore,
length = 10 + w
width = w
Area = length × width
Area = (10 + w) × w
Area = 10w + w²
Therefore, the area of the blanket will be (w² + 10)inches².
Answer:
Answer is
Step-by-step explanation:
The answer 1 Its 35 Answer 2 14
Answer: 4w-14
Step By step explanation: 4(w-2)-6= 4w-8-6= 4w-14