Opposite number, also called the additive inverse, is by defition a number that if you add it to its opposite, the result will be 0!!!
so you know that a number added to its opposite will be 0!
in practice this means that it's the same value with the opposite sign.
Answer:
see below
Step-by-step explanation:
In the attachment, the points are listed in the order given in the problem statement. (They are listed to the right of the "rotation matrix", with x-coordinates above y-coordinates.)
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I really don't like to do repetitive calculations, so I try to use a graphing calculator or spreadsheet whenever possible. Angles are measured CCW.
As always, the rotation transformations are ...
180° — (x, y) ⇒ (-x, -y)
270° — (x, y) ⇒ (y, -x)
Answer:
y = 5x + 3
Step-by-step explanation:
See attached image
Given:
The length of the given prism = 6 m
The width of the given prism = 3 m
The height of the given prism = 12 m
To find the surface area of the prism.
Formula:
The surface area of the prism is
where, l be the length
b be the width
h be the height
Now,
Putting, l=6, b=3 and h=12 we get,
sq m
or, sq m
Hence,
The surface area of the prism is 252 sq m.
Answer:
k = 1
k = 0
Step-by-step explanation:
Equation at the end of step 1 :
((((2•(k3))-(7•(k2)))+3k)-((0-(4•(k2)))+5k))-((((2•(k3))-7k)+3k)-((0-22k2)+5k)) = 0
Step 2 :
Equation at the end of step 2 :
((((2•(k3))-(7•(k2)))+3k)-((0-(4•(k2)))+5k))-(((2k3-7k)+3k)-(5k-4k2)) = 0
Step 3 :
Equation at the end of step 3 :
((((2•(k3))-(7•(k2)))+3k)-((0-22k2)+5k))-(2k3+4k2-9k) = 0
Step 4 :
Equation at the end of step 4 :
((((2•(k3))-7k2)+3k)-(5k-4k2))-(2k3+4k2-9k) = 0
Step 5 :
Equation at the end of step 5 :
(((2k3 - 7k2) + 3k) - (5k - 4k2)) - (2k3 + 4k2 - 9k) = 0
Pulling out like terms :
7.1 Pull out like factors :
7k - 7k2 = -7k • (k - 1)
Equation at the end of step 7 :
-7k • (k - 1) = 0