Answer:
The answer is ![\frac{13}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B36%7D)
Step-by-step explanation:
The formula is:
![\frac{a}{b} - \frac{c}{d} = \frac{ad - bc}{bd}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bb%7D%20-%20%20%5Cfrac%7Bc%7D%7Bd%7D%20%20%3D%20%20%5Cfrac%7Bad%20-%20bc%7D%7Bbd%7D)
In this case :
![\frac{12}{16} - \frac{7}{18} = \frac{12 x 18 - 16x17}{16x18} = \frac{216 -112 }{288} = \frac{104}{288}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B16%7D%20%20-%20%5Cfrac%7B7%7D%7B18%7D%20%3D%20%20%5Cfrac%7B12%20x%2018%20-%2016x17%7D%7B16x18%7D%20%3D%20%5Cfrac%7B216%20-112%20%7D%7B288%7D%20%3D%20%5Cfrac%7B104%7D%7B288%7D)
To get the simples form notice both 104 and 288 are divisible by 8 and 104/8 = 13 and 288/8 = 36.
Thus ![\frac{104}{288} = \frac{13}{36}](https://tex.z-dn.net/?f=%5Cfrac%7B104%7D%7B288%7D%20%3D%20%5Cfrac%7B13%7D%7B36%7D)
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
Answer:
y= -3
Step-by-step explanation:
I'll assume it is a linear line (straight line).
Sense the y-value doesn't change and stays -3, the equation for the line would be y= -3
And just so you know, the slope of the line would be 0.
The probability that a senior's ticket will be chosen is 3/8
Answer:
2.345×0.023
2.345..........3 decimal point
0.023........3 decimal point
2345
× 23 1. first we change it whole number for multiply.
···················· 2.count the decimal point.here 6 decimal points are there.
+ 7 0 3 5 3.we got the answer 53935.here only 5 digits are there.
4 6 9 0 0 4.now we add one zero backside 053935
····························5 . final answer is 0.053935
5 3 9 3 5
···························
answer is =0.053935
Step-by-step explanation: