Answer:
Option B.
Step-by-step explanation:
Consider the below figure attached with this question.
It is given that triangle ABC is an isosceles triangle.
From the below figure it is clear that the vertices of triangle are A(-2,-4), B(2,-1) and C(3,-4).
Distance formula:
Using this formula, we get
Now,
Perimeter of triangle ABC = AB + BC + AC
So, perimeter of triangle ABC is 
units.
Therefore, the correct option is B.
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
Answer:
Step-by-step explanation:
Let's solve this problem step-by-step. The library had 1,500 books in 2011. The ratio of books in 2011 and in 2012 is 1:2. Therefore, let the number of books in 2012 be 
.
We have the following proportion:
Therefore, there were 3,000 books in 2012. The ratio of books in 2012 and in 2013 is 2:5. Let the number of books in 2013 be 
.
We have:
Therefore, there were 7,500 books in 2013.
Answer:
-0.01
Step-by-step explanation:
Answer: 6+4x=26, 4x=20
Step-by-step explanation: 6+4x=20 is the initial equation but completely multiplied by two, so you can know without solving that it is equivalent.
If you solve the equation, 2x+3=13 (subtract 3 from both sides)
2x=10 (divide both sides by 2)
x equals 5.
if you plug in 5 as x to 4x=20, you get 20=20, which is a true statement, so this choice is also correct. You could also solve to prove x equals 5 in this equation as well. Divide 20 by 4 and you get x=5.
