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
86921 = 80000 + 6000 + 900 +20 +1
Answer:
24 minutes for 3 large arrangements
54 minutes for 9 small arrangements
6 minutes for each small arrangement
8 minutes for each large arrangement
Step-by-step explanation:
hope this helps!
Answers B, C, D are all correct!
If a cheetah ran 196m is 8 seconds, then 196/8 = 24.5 meters per second.
Let’s verify all answers:
A) 24.5 x 6 = 147. 147m are ran in 6 seconds, not 125.
B) 24.5 x 10 = 245. This answer is correct!
C) We’ve establishes that a Cheetah ran 24.5 meters per second. Correct!
D) Since one minute equals 60 seconds, 24.5 x 60 = 1470. Correct!
E) 24.5 x 5 = 122.5. In this time frame, a cheetah wouldn’t run 125m.
Answer:
2x-3y=2
x=6y-5
2(6y-5)-3y=2
use the distributive property.
2*6y=12y
2*-5=-10
12y-10-3y=2
combine like terms
12y-3y=9y
9y-10=2
add 10 to both sides.
9y-10+10=9y
2+10=12
9y=12
divide both sides by 9
9y/9=y
y=about 1.33
plug in the value of y in the expression equal to the value of x.
x=6(1.33)-5
solve
6*1.33=7.98
x=7.98-5
7.98-5=2.98
Step-by-step explanation:
x=2.98
y=1.33