Let's turn this into a fraction using the given information we already have.
We want the denominator, or the bottom part of the fraction, to be 1 in order for us to have a unit rate.
This fraction can be simplified if we divide both the numerator and denominator by 3.
Numerator: 18/3 = 6
Denominator: 3/3 = 1
Now we have
Any number divided by 1 is equal to that number.
Thus, your unit rate is 6 miles per hour.
Have an awesome day! :)
~AgentCozmo4, Junior Moderator
Answer:
(-2,3)
Step-by-step explanation:
Multiply -3x+4y=18 with 2:
-6x+8y=36
Add -6x+8x=36 and 6x+2y=-6
10y=30
y=3
So y=3 we can replace y with 3 on any of these two equations:
6x+6=-6
Move the 6 to the other side:
6x=-12
x=-2
So the solution is
(-2,3)
Hope this helps
Answer:
Step-by-step explanation:
Tan
tan
(3π) = Undefined
2
Just remember that, the periodicity of tan function is π.
Tan tan
(3π)
2
Break down the angle inside the function by applying the fraction rule
a+b = a +b
c. c. c as: = tan (2π + π )
2
Simply: = tan (π+π)
2
As stated above,
tan (π+x)=tan(x) we get: = tan( π)
2
Answer:
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Standard Form: ax² + bx + c = 0
- Quadratic Formula:
<u>Algebra II</u>
Step-by-step explanation:
<u>Step 1: Define function</u>
f(x) = -x² - 6x - 14
<u>Step 2: Set up</u>
- Set equation equal to 0: -x² - 6x - 14 = 0
- Factor out -1: -(x² + 6x + 14) = 0
- Divide both sides by -1: x² + 6x + 14 = 0
<u>Step 3: Define variables</u>
a = 1
b = 6
c = 14
<u>Step 4: Find roots</u>
- Substitute:
- Exponents:
- Multiply:
- Subtract:
- Factor:
- Simplify:
- Factor:
- Divide:
The number of handshakes that will occur in a group of eighteen people if each person shakes hands once with each other person in the group is 153 handshakes
In order to determine the number of handshakes that will occur among 18 people, that is, the number of ways we can choose 2 persons from 18 people.
∴ The number of handshakes = 
∴ The number of handshakes = 153 handshakes
Hence. 153 handshakes will occur in a group of eighteen people if each person shakes hands once with each other person in the group.
Learn more here: brainly.com/question/1991469
