Answer:
It is rigid
It is isometric
The size is preserved
Step-by-step explanation:
Given that Triangle ABC was translated to form A'B'C', then both triangles are congruent triangles.
A translation only moves the figure, preserving the size.
Because the size is preserved, it is a rigid transformation or isometric transformation.
Answer:
(B)
4 +/- 3 sqrt(2) or 4+3sqrt(2) and 4-3sqrt(2)
Step-by-step explanation:
4(c-4)^2=72
4(c-4)(c-4)=72
foil the parenthesis (first, outside, inside, last)
4(c^2 -4c -4c +16)=72
4(c^2-8c+16)=72
divide each side by 4
c^2-8c+16=18
subtract 18 from both sides
c^2-8c-2
use quadratic formula
((-b +/- sqrt((-b^2)-4ac)))/2a
((-(-8)+/-sqrt((-8)^2-4(1)(-2)))/2(1))
(8+/-sqrt(64-(-8)))/2
(8+/-sqrt(64+8))/2
(8+/-sqrt(72))/2
(8+/-sqrt(36 * 2))/2
(8+/-6sqrt(2))/2
4+/-3sqrt(2)
or 4+3sqrt(2) and 4-3sqrt(2)
First you multiply the two equations, equaling 3000000 kg and 60000 kg respectively. Once you have those numbers, you divide the Oakland mass by the Mapleville mass, so 3000000/60000. The answer is 50, to the tree is B, 50 times as big.
54 students in each bus.
Step#1 Subtract 7 from the total of students, the answer is 324
Step#2 Divide 324 by 6, the answer is 54
Therefore the answer is 54 students, hope that helped. <span />