The linear function rule is d = 103t
<h3>What Speed is?</h3>
The ratio of the distance travelled to the time taken is known as speed.
The formula for calculating the distance traveled is expressed as:
Speed = 618ft/6s
Speed = 103ft/s
Recall that:
d = st
Substitute s = 103 into the expression to have:
d = 103t
Hence the linear function rule is d = 103t
Learn more on linear function rule here: brainly.com/question/7765150
Answer:
x + y <u>></u> 15
10x + 5y <u><</u> 100
we will put it in terms of y
y <u>></u> 15 - x
and
5y <u><</u> 100 - 10x
y <u><</u> 20 - 2x
<u>-TheUnknownScientist</u>
Answer:
x=4± 5sqrt(2)
Step-by-step explanation:
x^2 – 8x – 34 = 0
To complete the square Add 34 to each side
x^2 -8x -34+34=0+ 34
Take the coefficient of x, and divide by 2
-8/2 =-4
Then square it and add it to each side
(-4)^2 =16
x^2 – 8x +16 = 34+16
x^2 – 8x +16 = 50
We replace the left side with (x + the coefficient of x/2)^2
(x -4)^2=50
Take the square root of each side
sqrt((x -4)^2)=±sqrt(50)
x-4 = ±sqrt(25*2)
x-4 = ±sqrt(25)*sqrt(2)
x-4 = ±5sqrt(2)
Add 4 to each side
x=4± 5sqrt(2)
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
You're forgetting to add how many miles did the taxi drove you, without it, this problem doesn't have a solution, you're not including how many miles were drove additionally, as well as how much money you carry in the first place bud sorry
