Step-by-step explanation:
Let's start with solving for line L using slope-intercept form (y=mx+b)
We can see that the y-intercept is 4, and the slope is rise/run. From point (5,2) to (0,5), the rise is 2, and the run is -5 (it goes backwards 5).
Using this, we can form our equation for Line L: y = -2/5x + 4
Now let's solve for Line M.
There is something very important to notice before we jump into this. Both of these lines (Line L and M) are parallel (they never touch) and therefore will contain the same slope as each other (-2/5). The y-intercept for this equation we can see is -1, as the line touches (0,-1). Now lets form our equation;
Line M: y = -2/5+4
Solving a system of equation means to find two (or more) line's interceptions on a graph (where they meet/touch). Because both of these lines are parallel and never touch each other, there is no definite answer. Therefore our answer is No Solutions.
Answer:
k=4
Step-by-step explanation:
Hope this helps!
1. A real world scenario could look something like this:
A ladder is resting against a straight wall. The distance from the top of the ladder to the bottom of the wall is 8m, while the distance from the base of the wall to the foot of the ladder is 6m. Find the length of the ladder.
2.That is the diagram for the real life example
3. Use pythagoras theorem to solve it
6^2+8^2=x^2
100=x^2
x=10
So the ladder is 10 m
Answer:
3.85 (rounded to 4 cars)
Step-by-step explanation:
Let X be the discrete random variable the number of vehicles changing lanes
X~B(7, 0.55)
The expected value is found by:
E(X) = 7 × 0.55
E(X) = 3.85
Answer:
Step-by-step explanation: