Similarities: They both are polynomials of degree 2, both of their graphs is a parabola, both have either 2 or 0 real solutions, they are both continuous functions over R
(DOS= difference of two squares, PST=perfect square trinomial
Differences: PST has three terms, whereas the difference of squares has 2. PST's factors are both the same, whereas DOS's elements are conjugates of each other. DOS can always be factored into two distinct polynomials with rational coefficients, whereas PST has two same polynomial factors.
The answer is 4.
8/x +13 = y --------> y * 2 = 30
divide 2 on both sides so y = 15
8/x + 13 = 15
- 13 - 13
8/x = 2
x =4
Answer:
option B. 18,12,12
Step-by-step explanation:
perimeter= 60 units
(consider a rectangle with sides a,b,c & d in order)
a= 18 units (given)
c=18 units (since opp. sides of a rectangle are equal)
now the remaining length= 60-(18+18)
= 60 - 36
= 24
so the sum of the remaining sides, ie, b+d= 24
since b and d are equal (opp.sides of a rect.)
b=d=24/2=12
therefore, b=12; c=18; d=12
i really hope i'm clear...but if i'm not then please do ask...
If the equation is r = 3 +4cos(θ) then because b/a>1 the curve is a limacon with an inner loop.
Given limacon with equation r=3+4cos(θ) and we have to answer how the quotient of a and b relate to the existence of an inner loop.
Equation is like a relationship between two or more variables expressed in equal to form and it is solved to find the value of variables.
formula of polar graph is similar to r= a+ b cos (θ).
Case 1. If a<b or b/a>1
then the curve is a limacon with inner loop.
Case 2. If a>b or b/a<1
Then the limacon does not have an inner loop.
Here given that 
(θ)
It is observed that , a<b or b/a>1
Therefore the curve is limacon with an inner loop.
Hence because b/a>1 the curve is a limacon with an inner loop.
Learn more about limacon at brainly.com/question/14322218
#SPJ4
Answer:
Step-by-step explanation:
she has 78.05 dollars left over
