Answer:
13sqrt(2) units
Step-by-step explanation:
LM² = 7² + 17²
LM² = 338
LM = sqrt(338)
LM = 13sqrt(2)
sqrt: square root
Answer:
Step-by-step explanation:
The standard form of a quadratic is
where h is side to side movement (it's also the x coordinate of the vertex) and k is the up or down movement (it's also the y coordinate of the vertex). If there is no up or down movement, the k value is 0. (We don't need to worry about the value for a here; it's 1 but that doesn't change anything for us in our problem). Movement to the right is positive, so we are moving +10. Filling that into our equation:
and simplified:
That is the parent graph shifted 10 units to the right.
ANSWER
D. A'(-5,0), B'(0,9) and (2,6)
EXPLANATION
The coordinates of triangle ABC are A(0,-5), B(-9,0) and C(-6,2).
A rotation of 90° clockwise about the origin has the mapping,

Therefore the image triangle has vertices
A'(-5,0), B'(0,9) and C'(2,6)
The correct choice is D.
Answer:
1-1) A=6×5=30m² | P=6×2+5×2=12+10=22m
1-2) A=5×20=100mi² | P=5×2+20×2=10+40=50mi
2-1) A=16×6=96m² | P=16×2+6×2=32+12=44m
2-2) A=20×9=180km² | P=20×2+9×2=40+18=58km
3-1) A=14×17=238yd² | P=14×2+17×2=28+34=62yd
3-2) A=20×18=360mi² | 20×2+18×2=40+36=76mi