Answer:
16.24 Units
Step-by-step explanation:
The perimeter of the triangle is the sum of the length of the sides of the triangle. Given the points on the vertices, the length of each side may be found using the formula
Length = √(x2 - x1)^2 + (y2 - y1)^2
Considering the pair (-1, 2), (3, 1), the length of that side
= √(3 -- 1)^2 + (1-2)^2)
= √(16 + 1)
= √17 units
Considering the pair (-1, 2), (7, 2), the length of that side
= √(7 -- 1)^2 + (2-2)^2)
= √(64)
= 8
Considering the pair (3, 1), and (7, 2), the length of that side
= √(7 - 3)^2 + (2 - 1)^2
= √(16 + 1)
= √17
Hence the perimeter of the triangle
= √17 + 8 + √17
= 4.12 + 8 + 4.12
= 16.24 Units
12
Step-by-step explanation:
because i,j,k are the unit vectors of x y and z axis and the vector having same unit vector can only be multiply or divide
Answer:
x = 2
Explanation:
First, make sure they both have common denominators ( 15 )
5 × 3 = 15 and 3 × 5 = 15
Whatever you do to the denominator you have to apply to the numerator. So, multiply the numerator and denominator of the first fraction by 3.
=
Next, multiply the numerator and denominator of the second fraction by 5.
=
Now we have:
Use distributive property on the numerators of both fractions.
Since the denominators are equal we can ignore them for now and find x.
9<em>x </em>- 3 = 5<em>x</em> + 5
We need to move like terms to different sides to isolate x. First, we can subtract 5<em>x</em> from both sides.
9<em>x</em> - 5<em>x</em> - 3 = 5<em>x</em> - 5<em>x</em> +5
4<em>x</em> - 3 = 5
Then, we can add 3 to both sides to cancel out the -3.
4<em>x</em> - 3 + 3 = 5 + 3
4<em>x</em> = 8
Finally, to find x we divide both sides by 4.
4x ÷ 4 = 8 ÷ 4
x = 2