The perimeter, by definition, is the outside measure of that figure. MN and LM are the same length and LK and NK are the same length....we just need to find the lengths! Use the distance formula to find the distance between the 2 points:

For the segment MN, use the coordinates of M as your x1, y1, and use the coordinates of N for x2, y2:

which simplifies to

which is

So that is the length of both MN and LM. So far our perimeter is

Now let's use the same formula to find out the length of one of the longer segments:

which simplifies down to

which is of course

Since we have 2 of those lengths,

So our perimeter is, in the end,

That's the third choice down
Answer:
y=
+ 4
Step-by-step explanation:
Pick two points: (-6,-10) and (0,4)
Then solve for m (slope): I picked (0,4)

Then put in slope intercept form:
4=
+ b
4=b
Then put in final form:
y=
+ 4
Hope this helps!
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
Hello! Please mark Brainliest for the explanation!
Answer:
Area: 10 inches
Step-by-step explanation:
As the paper itself states, the area of a triangle would be
1/2bh
Simply plug the given values in!
1/2(5)(4) =
1/2(20)=
10
Have a wonderful day!