Hey there! :)
Answer:
x = 21 units.
Step-by-step explanation:
Since we know Figure A is just Figure B scaled, we can set up a proportion:
![\frac{45}{35}= \frac{27}{x}](https://tex.z-dn.net/?f=%5Cfrac%7B45%7D%7B35%7D%3D%20%5Cfrac%7B27%7D%7Bx%7D)
Cross multiply to solve for x:
45 · x = 35 · 27
45x = 945
Divide both sides by 45:
x = 21 units.
Answer:
A. The system has no solutions
Step-by-step explanation:
Step 1: Check to see if the 2 lines share 1 slope
slope of blue line = ![\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%3D%5Cfrac%7B7-6%7D%7B3-0%7D%3D%5Cfrac%7B1%7D%7B3%7D)
slope of red line = ![\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}](https://tex.z-dn.net/?f=%5Cfrac%7By2-y1%7D%7Bx2-x1%7D%20%3D%5Cfrac%7B-3-%28-4%29%7D%7B3-0%7D%3D%5Cfrac%7B1%7D%7B3%7D)
Step 2: Realize that lines with the same slope never touch
We know lines with the same slope are parallel to each other so they won't collide
Step 3: Know what the question is asking you
When they ask for solutions to the system of equations they are asking you to find out where they intersect
Step 4: Find answer
Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution
Therefore the answer is A. The system has no solutions
Step-by-step explanation:
3 km = 3000 m
2*3000 = $6000
Do you have to show ur work?