Answer:
(4y/3, 0) or if there are no options, it's probably (0, 0)
Step-by-step explanation:
2x + 3y = 5x - y
So we are trying to find the missing value in the solution (_, 0)
We are looking for the x-intercept/root if the coordinate is in this way: (_, 0)
So to find the root, We are solving for x
2x + 3y = 5x - y
First, subtract 5x from bth sides
2x + 3y - 5x = 5x - y - 5x
2x + 3y - 5x = -y
Add like terms
-3x + 3y = -y
Now, subtract 3y from both sides
-3x + 3y - 3y = -y - 3y
-3x = -4y
Divide both sides by -3
-3x/-3 = -4y/-3
x = -4y/-3
We are not done yet because the answer above is not quite right. A negative number divided by a negative number results in a positive number.
So x = 4y/3
Now that we found x, we can input it to the coordinate
(4y/3, 0)
I put it on Sesmos graphing calculator and the answer seems to be (0, 0)
Y=1/2x+4 this is the way I was taught let me know if It makes since to you
Answer:
Step-by-step explanation:
<u>16.8% of 152 pounds is:</u>
- 168*152/100 = 25.5 pounds (rounded)
Answer:
a) D(t) = ![\[20*\sqrt{5} * t\]](https://tex.z-dn.net/?f=%5C%5B20%2A%5Csqrt%7B5%7D%20%2A%20t%5C%5D)
b) 178.885 miles
Step-by-step explanation:
Ship A travels north at the rate of 20 mph.
Ship B travels east at the rate of 40 mph.
After t hours, Ship A is at a distance of 20t miles from the origin.
Similarly, Ship B is at a distance of 40t miles from the origin.
(a) Distance D(t) = ![\[\sqrt{(20t)^{2}+(40t)^{2}}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B%2820t%29%5E%7B2%7D%2B%2840t%29%5E%7B2%7D%7D%5C%5D)
= ![\[\sqrt{400*t^{2}+1600 * (t)^{2}}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B400%2At%5E%7B2%7D%2B1600%20%2A%20%28t%29%5E%7B2%7D%7D%5C%5D)
= ![\[\sqrt{2000*t^{2}}\]](https://tex.z-dn.net/?f=%5C%5B%5Csqrt%7B2000%2At%5E%7B2%7D%7D%5C%5D)
=
(b) Distance between the two ships when t = 4,
= ![\[20*\sqrt{5} * 4\]](https://tex.z-dn.net/?f=%5C%5B20%2A%5Csqrt%7B5%7D%20%2A%204%5C%5D)
= ![\[80*\sqrt{5} \]](https://tex.z-dn.net/?f=%5C%5B80%2A%5Csqrt%7B5%7D%20%5C%5D)
miles
= 80 * 2.236
= 178.885 miles
Answer:
A) 4.67
Just took the quiz and this was correct. :)
