Answer:
The slope of the perpendicular line to the line is
m = 
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the line y =f(x) = 2x +6
⇒ y = 2x +6
comparing y =mx +c
The slope of the given line m =2
<u><em>Step(ii):- </em></u>
The slope of the perpendicular line = 
The slope of the perpendicular line =
Answer:
Interest: $50 | Total: $250
Step-by-step explanation:
You are going to want to use the simple interest formula for this. The one below is modified for solving the interest earned.
<em>I = interest amount
</em>
<em>P = principal amount
</em>
<em>r = interest rate (decimal form)
</em>
<em>t = time</em>
<em />
Now we can plug in the values into the equation:
This means that Ariane is charged $50 worth of interest. She has to pay back $250 total dollars.
This is a fairly tedious problem. The only way to solve that I see is to simply list out all the possible cases and go through each one by one. You'll use the triangle inequality theorem to see if the triangles can be formed. The theorem says that a+b > c must be true for all sets of pairs. In other words, take any two sides and add them up. The sum must be greater than the third side.
Going through all the combos possible (that I could find), this is what I got
Blue9,Green7,Orange4
Blue9,Green7,Purple12
Blue9,Green7,Red3
Blue9,Green7,Yellow5
Blue9,Orange4,Purple12
Blue9,Purple12,Yellow5
Green7,Orange4,Yellow5
Green7,Red3,Yellow5
Orange4,Red3,Yellow5
In all, I count 9 cases. So the answer to problem 1 is 9.
-----------------------------------------------------------
For problem 2, the best way may be to pick two segments at a time instead of one. However, I have a feeling that will take just as long as the first method. I haven't tried it out. Even though going through the rods one at a time takes a while, it's probably the best option so you don't overlook any cases.
The final step to solve this would be to determine the principal square root of both sides of the equation.
Answer:
D
Step-by-step explanation:
Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function
