Answer:
use area to solve
Step-by-step explanation:
Answer:
3 + 549=546
546-2=544
Step-by-step explanation:
You must travel at 42 mph for 4 hours
<em><u>Solution:</u></em>
Time varies inversely as rate of motion
Let "t" be the time required
Let "r" be the rate of motion
Then, we get
![t \propto \frac{1}{r}\\\\t = k \times \frac{1}{r}\\\\t = \frac{k}{r} -------- eqn 1](https://tex.z-dn.net/?f=t%20%5Cpropto%20%5Cfrac%7B1%7D%7Br%7D%5C%5C%5C%5Ct%20%3D%20k%20%5Ctimes%20%5Cfrac%7B1%7D%7Br%7D%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7Bk%7D%7Br%7D%20--------%20eqn%201)
Where, "k" is the constant of proportionality
<em><u>You travel 3 hours at a rate of 56 mph</u></em>
Substitute t = 3 and r = 56 in eqn 1
![3 = \frac{k}{56}\\\\k = 3 \times 56\\\\k = 168](https://tex.z-dn.net/?f=3%20%3D%20%5Cfrac%7Bk%7D%7B56%7D%5C%5C%5C%5Ck%20%3D%203%20%5Ctimes%2056%5C%5C%5C%5Ck%20%3D%20168)
<em><u>Find the rate you must travel for 4 hours</u></em>
r = ? and t = 4
Substitute t = 4 and k = 168 in eqn 1
![4 = \frac{168}{r}\\\\r = \frac{168}{4}\\\\r = 42](https://tex.z-dn.net/?f=4%20%3D%20%5Cfrac%7B168%7D%7Br%7D%5C%5C%5C%5Cr%20%3D%20%5Cfrac%7B168%7D%7B4%7D%5C%5C%5C%5Cr%20%3D%2042)
Thus you must travel at 42 mph for 4 hours
X - intercepts y = 0, then
<span>4(0+3)=−2(x+6)
12 = -2x -12
2x = -24
x=-24/2
x = -12
</span>y- intercepts x = 0 then
4(y+3)=−2(0+6)
4y +12 = -12
4y = -24
y = -24/4
y = -6