Answer:
![x=-9\frac{1}{3}](https://tex.z-dn.net/?f=x%3D-9%5Cfrac%7B1%7D%7B3%7D)
Step-by-step explanation:
![\frac{1}{2}(x+10)=\frac{1}{4}(x-8)](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%28x%2B10%29%3D%5Cfrac%7B1%7D%7B4%7D%28x-8%29)
![\frac{1}{2}x+5=\frac{1}{4}x-2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx%2B5%3D%5Cfrac%7B1%7D%7B4%7Dx-2)
![\frac{1}{2}x-\frac{1}{4}x=-5-2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7Dx-%5Cfrac%7B1%7D%7B4%7Dx%3D-5-2)
![\frac{3}{4}x=-7](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7Dx%3D-7)
![x=-\frac{28}{3}=-9\frac{1}{3}](https://tex.z-dn.net/?f=x%3D-%5Cfrac%7B28%7D%7B3%7D%3D-9%5Cfrac%7B1%7D%7B3%7D)
Lucas equation for his location is x(t) = 13t.
Alfonso's equation is x(t) = 238 - 21t
If you equate these, you get:
13t = 238 - 21t =>
34t = 238
t = 7
So after seven hours they meet.
Answer:
![y=-\frac{3}{4}x+2](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B4%7Dx%2B2)
Step-by-step explanation:
The slope-intercept form is given by y=mx+c, where m is the slope and c is the y-intercept.
Slope of given line= ![-\frac{3}{4}](https://tex.z-dn.net/?f=-%5Cfrac%7B3%7D%7B4%7D)
Parallel lines have the same slope. Thus, the slope of the line would also be
.
![y=-\frac{3}{4}x +c](https://tex.z-dn.net/?f=y%3D-%5Cfrac%7B3%7D%7B4%7Dx%20%2Bc)
The value of c can be found by substituting a pair of coordinates.
When x= 4, y= -1,
![-1=-\frac{3}{4} (4)+c](https://tex.z-dn.net/?f=-1%3D-%5Cfrac%7B3%7D%7B4%7D%20%284%29%2Bc)
-1= -3 +c
<em>Add 3 to both sides:</em>
c= -1 +3
c= 2
Thus, the equation of the line is
.
Additional:
Do check out the following for a similar question on slope-intercept form!
Answer:
30
Step-by-step explanation:
because 6 × 5 equals 30 and when you're looking for when something's going to be the same you got to do what your numbers are times each other