We grapht hem
we see that the base is from (-2,2) and (6,2), 8 units long
the height will be from y=2 to y=8 or 6 units
so then, the area=1/2 times base times height=1/2 times 8 times 6=24 square units
x+a=3/4
Move a to the other side. Sign changes from +a to -a.
x+a-a=3/4-a
x=3/4-a or x=-a+3/4
Answer: x=3/4-a or x=-a+3/4
Answer:
<em>The third choice gives the correct sequence.</em>
Step-by-step explanation:
<u>The Number Line</u>
To represent numbers in the line, we use arrows starting from the mark for zero up to the given number. If the number is positive, the arrow points to the right and if the number is negative, the arrow points to the left.
The number -3 must be represented as an arrow to the left side of length 3. Subtracting something from the number should also point to the left side, but if the number is negative, then the new arrow points to the right side.
To subtract -1, the arrow should point to the right starting from -3
The third choice gives the correct sequence.
Answer:
Correct answer is:
The transformation was a 180° rotation about the origin.
Step-by-step explanation:
Given the triangle RST formed by points:
is transformed using (x, y) → (–x, –y) such that coordinates of triangle R'S'T' :
Please refer to the attached image for the given dimensions and coordinates.
It is clearly visible that:
The given triangle RST has coordinates in first quadrant.
and the resulting coordinates R'S'T' are in third quadrant.
The rotation of angle from 1st quadrant to 2nd quadrant is 
and
The rotation of angle from 2nd quadrant to 3rd quadrant is .
<em></em>
<em> total rotation is </em>
.
