Answer: 19.8 Units
Step-by-step explanation:
The triangle is shown in the attached figure, and have three vertices:
,
and
.
Each vertice represents a point in the cartesian plane and the length of each side of the triangle is the modulus of each vector.
In this sense, the modulus
is calculated as shown:

Hence, for each vector:



Now, the perimeter of a triangle is the sum of its three sides:

Finally:

5x - 3y - z
By hypothesis, x = -2, y = 2 and z = -3.
So you all need to do is replace each letter by its value and do the calculus:
5x - 3y - z = 5*(-2) - 3(2) - (-3)
= -10 - 6 + 3=
=-16 + 3
= -13
So when x = -2, y = 2 and z = -3
5x - 3y - z = -13 (answer d)
Hope this helps! :)
Step-by-step explanation:





<span>Chemistry is the branch of science that deals with the identification of the substances of which matter is composed. </span>
Answer:
60
Step-by-step explanation:
Tangents to a circle from a common external point are congruent, thus
JA = JB = 6
AL = KC = 11
CK = KB = 13
Thus
perimeter = 2(6) + 2(11) + 2(13) = 12 + 22 + 26 = 60