Answer: The new coordinates are A(0, 0) B(-4, -2) C(0, -5)
Step-by-step explanation: The formula for 90 degrees counter-clockwise is (x, y) to (-y, x)
Answer:
146 miles
Step-by-step explanation:
hope this is correct
One way to write a line is y=mx+b, where b is a number, m is the slope of the line, and y and x are variables that you can plug numbers into. We know that we have two points, (0,5) and (10,0). To find the slope of a line, we can use the equation
![\frac{y_{2}-y_{1}}{x_{2}-x_{1}} = \frac{y_{1}-y_{2}}{x_{1}-x_{2}}](https://tex.z-dn.net/?f=%20%5Cfrac%7By_%7B2%7D-y_%7B1%7D%7D%7Bx_%7B2%7D-x_%7B1%7D%7D%20%3D%20%20%5Cfrac%7By_%7B1%7D-y_%7B2%7D%7D%7Bx_%7B1%7D-x_%7B2%7D%7D)
Plugging this in for our points, we get
![\frac{0-5}{10-0} = -5/10=-1/2](https://tex.z-dn.net/?f=%20%5Cfrac%7B0-5%7D%7B10-0%7D%20%3D%20-5%2F10%3D-1%2F2)
as our slope (we get -1/2 by dividing both -5 and 10 by 5 from the previous fraction), making our equation y=(-1/2)x+b. Plugging a point in to find out what b is, we get 0=(-1/2)10+b=-5+b. Adding 5 to both sides to separate the b, we get 5=b, making our equation y=(-1/2)x+5. To find out what x is for (x,2), since the y value comes second, we can plug in 2 into our equation to get 2=(-1/2)x+5. Since we want to solve for x, we have to separate it. Subtracting 5 from both sides, we get -3=(-1/2)x. Since we can multiply -1/2 by its reciprocal (switching the numerator and denominator) to get 1 (and therefore x on the right sides as 1*x=x), we multiply both sides by -2 to get 6=x, making the point (6,2)
Feel free to ask further questions!
Answer:
318 days or 10.6 months,
No, because the time between august and december is 8 months and it would take 10 to complete the tunnel
Step-by-step explanation:
start by determining the slope:
subtract the remaining distance from the total distance to determine distance so far, then divide by time.
m = (3200 - 1700)/5
m = 1500/5
m = 300
y = mx + b
Plug in to solve for x.
3200 = 300x + 0
3200 = 300x
divide y by m. This is x. (this is known as inverse operation if you didnt know already.)
3200 = 300(10.6_)
Well you would have to put 25 make in between 1,4, -2