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:
{14,23,654,0,9}
Step-by-step explanation:
The first three contain negative numbers and decimal points therefor the last one {14,23,654,0,9} is correct.
Answer:
I got 6.012 times 10^3
Step-by-step explanation:
I'm not sure how to make it into decimal form but maybe that number can help you. Hopefully it's correct
Answer:
tita = 0 , 180, 270, 360. ( tita = 0 ≤ x ≤ 360).
Step-by-step explanation:
sin tita + sin ^2 tita = 0
sin tita( sin tita + 1) = 0
sin tita = 0, - 1.
For angles between 0 and 360 inclusive sin = 0 gives 0, 180 and 360 degrees. The angle whose sine is -1 is 270 degrees.
tita = 0 , 180, 270, 360.
Answer:
1. 53 by 58 , 222 ft
2. 321000
3.1080
4. 3.5
Step-by-step explanation:
1. 23+15+15 = 53
28+15+15= 58
53+53+58+58= 222
