Hey there!
Let's set up our expression:
(7a-6b+7)-(8a-2)
In order to simplify, we can use that subtraction sign and distribute it, using the distributive property. We have:
7a-6b+7-8a+2
Notice how it's plus two, because a negative times a negative two is a positive two. Now, it's a matter of finding the like terms and adding or subtracting them. These like terms can either have no variable, or have different coefficients but the same variable. That means our like terms are the 7a and -8a, and the 7 and 2. There's no like term for the 6b. That means we have:
(7a-8a) - 6b + (7+2) =
-a - 6b + 9
Hope this helps!
The slope is:(9-3)/(1-(-2))=6/3=2
Answer:
-4sinθcosθ
Step-by-step explanation:
Note:
1. (a + b)^2 = a^2 + 2ab + b^2
2. (a - b)^2 = a^2 - 2ab + b^2
3. sin^2θ + cos^2θ = 1
(sinθ -cosθ)^2 - (sinθ + cosθ)^2
= sin^2θ - 2sinθcosθ + cos^2θ - (sin^2θ + 2sinθcosθ + cos^2θ)
= sin^2θ + cos^2θ - 2sinθcosθ - (sin^2θ + cos^2θ + 2sinθcosθ)
= 1 - 2sinθcosθ - (1 + 2sinθcosθ)
= 1- 2sinθcosθ -1 - 2sinθcosθ
= - 2sinθcosθ - 2sinθcosθ
= -4sinθcosθ
Answer:
The center is (0,0) and the radius is 4
Step-by-step explanation:
x^2+y^2=16.
The equation of a circle can be written in the form
(x-h)^2+(y-k)^2=r^2 where ( h,k) is the center and r is the radius
(x-0)^2+(y-0)^2=4^2
The center is (0,0) and the radius is 4
<u>Answer:</u>
<em>Option D : $153</em>
<u>This is how I got that:</u>
9:30 AM to 1:15 PM = 3 hours and 45 minutes
The first hour charges $15 and for the remaining 2 hours and 45 minutes
Mr. Anand is charged 36$. Remember it says that each additional hour <em>or part thereof, </em>so the 2 hours and 45 minutes is considered 3 hours.
So our total for one paddle boat is <u>$51 </u>
<u />
But Mr. Anand hired <em>three</em> boats so we simply times 51 by 3 and get our solution to the problem:
<u>Mr. Anand must pay $153 or Option D</u>
<u></u>
<em>~That's All Folks~</em>
<em>-Siascon</em>
