Answer:
Option d. is correct answer.
Step-by-step explanation:
<em>f(x) = [x]</em><em> </em>is the absolute value parent function.
<u>Given</u>:
The coordinates of the points A, B and C are (3,4), (4,3) and (2,1)
The points are rotated 90° about the origin.
We need to determine the coordinates of the point C'.
<u>Coordinates of the point C':</u>
The general rule to rotate the point 90° about the origin is given by

Substituting the coordinates of the point C in the above formula, we get;

Therefore, the coordinates of the point C' is (-1,2)
Answer:
Area = 21/2 = 10.5 area units
Step-by-step explanation:
Two of the points are on the same line (the y-axis) as they both have x-coordinates of 0. This can thus be the base of your triangle.
Two more are on the same line (y= -9) as they both have the same y-coordinate of -9. This can be the height of your triangle.
So you have a base which is between -2 and -9 (7 units) and a height which is between 0 and 3 (3 units) so now just use the equation for area of a triangle
1 pound= 16 oz
16/4= 4 apples
Hope this helps!
Step-by-step explanation:
Sum of arithmetic terms = n/2 × [2a + (n - 1)×d], where 'a' is the first term, 'd' is the common difference between two numbers, and 'n' is the number of terms.
this is the same as n/2 × (a1 + an), because
an = a1 + (n-1)×d
so, for the series above :
a or a1 = 2
d = 7, as every new term is the previous term plus 7.
for n
37 = a1 + (n-1)×d = 2 + (n-1)×7
and now solve for n
35 = 7n - 7
42 = 7n
n = 6
so, the sum of all terms is
6/2 × (2+37) = 3×39 = 117