Answer:
Step-by-step explanation:
The point of this question is to find out the point where two lines intersect. First we need to get the equation of those lines
Slope of line 1:
(Yb -Ya)/(Xb - Xa) =
(-10 - (-14))/(-1 - (-3)) =
4/2 =
2
Use that slope to find the Y-intercept of line 1
y = 2x + b
-14 = 2(-3) +b
-14 = -6 + b
-8 = b
Therefore Line 1 is:
y = 2x - 8
Slope of line 2
(11 - 13)/(-1 - (-3)) =
-2/2 =
-1
Y-intercept of line 2
y = -x + b
13 = -(-3) +b
13 = 3 + b
10 = b
Therefore line 2 is
y = -x + 10
Now we have 2 equations to solve for the coordinates x and y
y = 2x - 8
y = -x + 10
Substitute y out in one of the equations
2x - 8 = -x + 10
3x = 18
x = 6
Plug x into one of the equations
y = 2(6) - 8
y = 12 - 8
y = 4
Therefore the solution is:
x=6, y=4
Answer:
. In conclusion, people have to become aware of the dangerous impact fossil fuels have on a long term, and how important it is to shift slowiy to renewable energy resources. However, since the use of renewable energy is a rather new development, it carries the weight of critics and careful long term observation. COuntries have to show commitment to renewable energy and have to evaluate which energy resources are cost-effective and the best with regards to their circumstances The only hindrance of using more renewable energy resources in future could be the finances to install these technologles.
Answer:
-20x-2
Step-by-step explanation:
You take the first equation and make a value for y. So 6x + y =7 change it to :
y = -6x + 7
Now in the second equation replace the “y” with -6x +7 this is what it means to use substitution method . Your combined equation will now be :
8x + 9(-6x + 7) =17
Now do distributive property and you get :
8x + -54x +63 =17
Now combine like terms ;
-46x +63 =17
-46x =-46
x = 1
Now replace 1 for X value and we can get the value of Y .
Y=1
X=1
Answer:
Lemmy ; 2 7/8 miles
Step-by-step explanation:
Given that :
Distance walked by Lemmy:
Saturday = 3 1/2 miles
Sunday = 4 3/4 miles
Total distance walked by Lemmy:
3 1/2 + 4 3/4
7/2 + 19/4
(14 + 19) / 4
33 / 4
= 8 1/4
Miles walked by Ronnie : 5 3/8
Lemmy walked farther because : 8 1/4 > 5 3/8
Number of distance walked farther than Ronnie :
8 1/4 - 5 3/8
33/4 - 43/8
(66 - 43) / 8
= 23/ 8
= 2 7/8 miles
