9514 1404 393
Answer:
C. √((5-9)² +(1+6)²)
Step-by-step explanation:
The distance formula can be written ...
d = √((x1 -x2)² +(y1 -y2)²)
Filling in the given point coordinates, this becomes ...
d = √((5 -9)² +(1 -(-6))²)
Simplifying the signs, this becomes ...
d = √((5 -9)² +(1 +6)²) . . . . . matches choice C
Answer:
10
4
Step-by-step explanation:
Purple: This makes two trapezoids. A=(a+b)/2 times h
1st = (4+1)/2 x 1 = 2.5
2nd = (4+1)/2 x 3 = 5/2 x 3 = 2.5x3=7.5
Total = 2.5+7.5=10
Green: if you draw a line down the center, you can divide these into two more manageable triangles. A=1/2bh
1st = 1/2x2x2 = 2
2nd = 1/2x2x2 = 2
Total = 2+2=4
The area of the new square is 9k. For example if in the original square, each side was 2, then k=4. 2*3=6 so each side would be 6 long. 6*6 is 36 so the new square's area is 9 times the original.
