Answer:
The added term needed for that expression to be a square is 9/16.
Step-by-step explanation:
We're provided with two terms, and asked to add an additional term to make this a perfect square. For this to work, the term needs to be a scalar value that is the square of half the coefficient of the second term.
That coefficient is 3/2, so half of that is 3/4, and its square is 9/16.
If we tack that on the end then, we get:
To confirm the answer, let's expand it and see if we get the original expression:
So 9/16ths is the scalar that needs to be added on the end.
9514 1404 393
Answer:
24.1 units
Step-by-step explanation:
This is done using the Pythagorean theorem (or distance formula) to find the lengths of the sides.
For each side of the figure (except the bottom horizontal), you need to identify the dimensions of the right triangle whose hypotenuse is the side of interest. For example, LM is the hypotenuse of a triangle 4 units high and 1 unit wide. The Pythagorean theorem tells you LM has a length of ...
LM = √(4^2 +1^2) = √17 ≈ 4.12
Similarly ...
KL = √(2^2 +2^2) = √8 ≈ 2.83
JK = √(1^2 +6^2) = √37 ≈ 6.08
NJ = √(5^2 +1^2) = √26 ≈ 5.10
Of course, the length of MN is found by finding the difference of the x-coordinates:
MN = 3 -(-3) = 6
Then the perimeter is the sum of side lengths:
4.12 +2.83 +6.08 +5.10 +6.00 = 23.17 ≈ 24.1 . . . units
Are there any answer choices for the question?
Option 1
$0.1622
Option 2
$0.1839
No its less because cm are more than mm
-hope this helped-
