Answer:
area of circle=πr²=3.14×5²=78.5unit²
Answer:
10x+13y
Step-by-step explanation:
remove parentheses:
2x+3y+8x+10y
add like-terms:
2x+8x+3y+10y
add numbers with the same variables/elements
10x+3y+10y-->10x+13y
hope this helps
The shape of the distribution is rectangular, also Uniform and Symmetrical
Let's start with a picture.
We see RST is smaller, and BC is parallel to but in the opposite direction to its corresponding segment ST. Both have slope -1.
If we look at the difference of points (technically called vectors but we don't have to go there) we get
C-B=(-2,2)
T-S=(1,-1)
Without further calculation we can see T-S is half the length of C-B.
The problem asks for a dilation followed by a reflection. We know the dilation scale is k=1/2 because the new triangle is half the size.
After dilation we get A'B'C':
A'(3,2), B'(-1,0), C'(-2,1)
We see now we need a reflection that flips the coordinates x and y. That's the +45° line through the origin, namely y=x.
Answer: k=1/2, y=x
