B, there's only two kinds of acute triangles ands that's a 45,45,90 and a 30,60,90.
Answer:
C = 40p
Cost for 15 people: 600 dollars
Step-by-step explanation:
The amusement park charges $40 per person.
That can be represented as 40 × <em>P</em> or 40<em>P</em>.
<em>C</em> is equal to the cost of admission for <em>P</em> people.
So, <em>C</em> = 40<em>P</em>
<em />
<em>C </em>= 40<em>P</em>
<em>C</em> = 40(15)
<em>C</em> = 600
The cost of admission for 15 people is 600 dollars.
Hope that helps.
Answer:
-1701
Step-by-step explanation:
The recursion relation tells you each term of the sequence is -3 times the previous term. Then the first 6 terms are ...
7, -21, 63, -189, 567, -1701
The value of f(6) is -1701.
_____
<em>Additional comment</em>
The explicit formula for a geometric sequence with first term 7 and common ratio -3 is ...
f(n) = 7×(-3)^(n-1)
Then f(6) is ...
f(6) = 7×(-3)^5 = 7×(-243) = -1701
All you've got to do is some simple algebra! When you solve for a variable, you are trying to get it alone on one side of the equation. So, we want something that looks like y = ...
First, add 21x to both sides of the equation. This will cancel out the -21x on the left side.
-21x + 3y = 6
-21x + 3y + 21x = 6 + 21x
3y = 21x + 6
Now, to get y alone, divide both sides of the equation by 3. This will cancel out the coefficient of 3 on the left side.
3y = 21x + 6
(3y)/3 = (21x + 6)/3
y = 7x + 2
There's the answer. Hope that helps! :)
ANSWER
(5r^2 - 6)(2r - 5)
EXPLANATION
Factor by grouping
(10r^3 - 25r^2) + (-12r + 30)
Factor a GCF
5r^2 (2r - 5) -6 (2r - 5)
Combine groups
(5r^2 - 6)(2r - 5)
CHECK
Use FOIL
First: 5r^2*2r = 10r^3
Outside: 5r^2*-5 = -25r^2
Inside: -6*2r = -12r
Last: -6*-5 = 30
