Three birds are flying on the sky. Each bird moves by given following functions.
Bird 1: y1 = 2x+ 6
Bird 2: y2 = -2x + 8
Bird 3: y3 = -1/2x - 3
a.) What is initial position of each bird (time equals 0)?
b.) Will ever the bird 1 and the bird 2 meet; if so find the coordinates (meeting point(s)?
c.)Will ever the bird 1 and the bird 3 meet; if so find the coordinates (meeting point(s)?
Though i don’t have the answers to your question, please take time to read this. <3
“Casting all your anxieties on him, because he cares for you.“ - 1 Peter 5:7
God loves you and is there for you always whenever you need him, even if you might think you don’t. School can be stressful and i can testify that because of God, i was able to complete 200+ overdue lessons in the timeframe of a month. The school threatened me that if I didn’t finish, I could face consequences. I was almost expelled. I considered dropping out (i’m only a sophomore). I thought my life was over. But God. He was there for me. I prayed and begged for him to have mercy, and certainly he was faithful. I only have 5 lessons remaining and i’m actually going to finish my semester ahead of time! God is so so faithful and he never fails his promises. I will forever be grateful and thankful of how good he is. I pray that he will touch you and that you will encounter him in your life. With him, you can do all things. And if you will, pray this out loud:
“ Dear Lord Jesus, I know that I am a sinner, and I ask for Your forgiveness. I believe You died for my sins and rose from the dead. I turn from my sins and invite You to come into my heart and life. I want to trust and follow You as my Lord and Savior. AMEN!” AMEN! If you did read this out loud and believed with your whole heart, you are now saved! You have accepted God into your life and I can guarantee you that you will see a difference in your life. Things will get better, i promise. God bless and have a great day/night wherever you are! <3
you're not by any chance Vegan, too are you?
Now, as for the math,
(a) initial position is when x=0
(b) they will meet when 2x+ 6 = -2x + 8 (x = 1/2)
(c) they will meet when 2x+ 6 = -1/2x - 3 (no - why not?)
a.) To find the initial position of each bird (at time equals 0), we need to substitute x=0 into each bird's function.
Bird 1: y1 = 2(0) + 6 = 6
So, the initial position of Bird 1 is (0,6).
Bird 2: y2 = -2(0) + 8 = 8
So, the initial position of Bird 2 is (0,8).
Bird 3: y3 = -1/2(0) - 3 = -3
So, the initial position of Bird 3 is (0,-3).
b.) To check if Bird 1 and Bird 2 will ever meet, we need to set their y-coordinates equal to each other and solve for x.
2x + 6 = -2x + 8
4x = 2
x = 1/2
Substituting the value of x back into either Bird 1 or Bird 2's function, we can find the corresponding y-coordinate:
Bird 1: y1 = 2(1/2) + 6 = 7
Therefore, Bird 1 and Bird 2 will meet at the coordinates (1/2, 7).
c.) Similarly, we can check if Bird 1 and Bird 3 will ever meet by setting their y-coordinates equal to each other and solving for x.
2x + 6 = -1/2x - 3
4x + x = -12 - 6
5x = -18
x = -18/5
Substituting the value of x back into either Bird 1 or Bird 3's function, we can find the corresponding y-coordinate:
Bird 1: y1 = 2(-18/5) + 6 = -36/5 + 30/5 = -6/5
Therefore, Bird 1 and Bird 3 will meet at the coordinates (-18/5, -6/5).