Answer:
Simplifying
x2 + -4y2 = 25
Solving
x2 + -4y2 = 25
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '4y2' to each side of the equation.
x2 + -4y2 + 4y2 = 25 + 4y2
Combine like terms: -4y2 + 4y2 = 0
x2 + 0 = 25 + 4y2
x2 = 25 + 4y2
Simplifying
x2 = 25 + 4y2
Reorder the terms:
-25 + x2 + -4y2 = 25 + 4y2 + -25 + -4y2
Reorder the terms:
-25 + x2 + -4y2 = 25 + -25 + 4y2 + -4y2
Combine like terms: 25 + -25 = 0
-25 + x2 + -4y2 = 0 + 4y2 + -4y2
-25 + x2 + -4y2 = 4y2 + -4y2
Combine like terms: 4y2 + -4y2 = 0
-25 + x2 + -4y2 = 0
The solution to this equation could not be determined.
Step-by-step sorry if im wrong
Answer:
4.5
Step-by-step explanation: Multiply the length value by 100
Answer:
![^{\to}_{PQ}+4^{\to}_{RS}=\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A-14%2C-21%5C%3A%3E%5C%3A)
![|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}](https://tex.z-dn.net/?f=%7C%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%7C%3D7%5Csqrt%7B13%7D)
Step-by-step explanation:
The given points have coordinates; P=(5,4), Q=(7,3), R=(8,6), and S=(4,1).
![^{\to}_{PQ}=^{\to}_{OQ}-^{\to}_{OP}](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%3D%5E%7B%5Cto%7D_%7BOQ%7D-%5E%7B%5Cto%7D_%7BOP%7D)
![^{\to}_{PQ}=\:-\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%3D%3C%5C%3A7%2C3%5C%3A%3E%5C%3A-%5C%3A%3C%5C%3A5%2C4%5C%3A%3E)
![^{\to}_{PQ}=\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%3D%3C%5C%3A7-5%2C3-4%5C%3A%3E%5C%3A)
![^{\to}_{PQ}=\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%3D%3C%5C%3A2%2C-1%5C%3A%3E%5C%3A)
![^{\to}_{RS}=^{\to}_{OS}-^{\to}_{OR}](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BRS%7D%3D%5E%7B%5Cto%7D_%7BOS%7D-%5E%7B%5Cto%7D_%7BOR%7D)
![^{\to}_{RS}=\:-\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A4%2C1%5C%3A%3E%5C%3A-%5C%3A%3C%5C%3A8%2C6%5C%3A%3E)
![^{\to}_{RS}=\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A4-8%2C1-6%5C%3A%3E%5C%3A)
![^{\to}_{RS}=\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A-4%2C-5%5C%3A%3E%5C%3A)
![^{\to}_{PQ}+4^{\to}_{RS}=\:+4\:\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A2%2C-1%5C%3A%3E%5C%3A%2B4%5C%3A%3C%5C%3A-4%2C-5%5C%3A%3E%5C%3A)
![^{\to}_{PQ}+4^{\to}_{RS}=\:+\:\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A2%2C-1%5C%3A%3E%5C%3A%2B%5C%3A%3C%5C%3A-16%2C-20%5C%3A%3E%5C%3A)
![^{\to}_{PQ}+4^{\to}_{RS}=\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A2-16%2C-1-20%5C%3A%3E%5C%3A)
![^{\to}_{PQ}+4^{\to}_{RS}=\:](https://tex.z-dn.net/?f=%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%3D%3C%5C%3A-14%2C-21%5C%3A%3E%5C%3A)
The correct answer is C
The magnitude is given by:
![|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{x^2+y^2}](https://tex.z-dn.net/?f=%7C%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%7C%3D%5Csqrt%7Bx%5E2%2By%5E2%7D)
![|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{(-14)^2+(-21)^2}](https://tex.z-dn.net/?f=%7C%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%7C%3D%5Csqrt%7B%28-14%29%5E2%2B%28-21%29%5E2%7D)
![|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{196+441}](https://tex.z-dn.net/?f=%7C%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%7C%3D%5Csqrt%7B196%2B441%7D)
![|^{\to}_{PQ}+4^{\to}_{RS}|=\sqrt{637}](https://tex.z-dn.net/?f=%7C%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%7C%3D%5Csqrt%7B637%7D)
![|^{\to}_{PQ}+4^{\to}_{RS}|=7\sqrt{13}](https://tex.z-dn.net/?f=%7C%5E%7B%5Cto%7D_%7BPQ%7D%2B4%5E%7B%5Cto%7D_%7BRS%7D%7C%3D7%5Csqrt%7B13%7D)
The correct answer is B
2 + 4(3+2x) = 3x + 8
2 + 12 + 8x = 3x + 8
14 - 8 = 3x - 8x
6 = -5x
x = -6/5
264 goes down to 260 ( the 4 rounds down)
194 goes down to 190
34 goes down to 30