Rotation 270 counterclockwise about origin is easy, swap the x and y then reverse the sign of the y
so (x, y) rotates to (y, -x)
Sadly to change the centre we need to translate the centre to the origin, rotate and the translate back.
In this case that means adding -1, 2 to x,y respectively, rotating, adding 1, -2 to x,y respectively
B(2, 3) translates to (1, 5) which rotates to (5, -1) and translates back to B’(6, -3)
C(6, -4) translates to (5, -2) which rotates to (-2, -5) and translates back to C’(-1, -7)
D(7, -6) translates to (6, -4) which rotates to (-4, -6) and translates back to (-3, -8)
E(3, -5) translates to (2, -3) which rotates to (-3, -2) and translates back to (-2, -4)
The translation is much easier simply moving each point 8 to the right
B’(2, 11), C’(6, 4), D’(7, 2) and E’(3, 3)
Using the grid will everything clear!
Answer:
the area of the small square 4c
the total area of the 4 triangles is 2ab
a^2+2ab+b^2 = a^2+2ab+b^2
subtracting gives 2ab from both sides gives us a^2+b^2
Step-by-step explanation:
Let's use y
y + 4 = 1/2 y
2y + 8 = y
y = - 8
the ratio of the number of kids is 4:7
that means for every 7 kids we have 4 adults
7 kids ---- 4 adults
the difference is 3
we dived the difference of the kids between the difference of the ratio
150/3 = 50
the number we obtained must be multiply by the ratio of each part
7(50) = 350 number of kids
4(50)=200 number of adults
there are 200 adults at the fun fair
