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:
x = 3
Step-by-step explanation:
Solve for x:
1/2 + 1/x = 5/6
Bring 1/2 + 1/x together using the common denominator 2 x:
(x + 2)/(2 x) = 5/6
Cross multiply:
6 (x + 2) = 10 x
Expand out terms of the left hand side:
6 x + 12 = 10 x
Subtract 10 x + 12 from both sides:
-4 x = -12
Divide both sides by -4:
Answer: x = 3
Answer:
d≈22.63
Step-by-step explanation:
Answer is 4 .............
Is it number 21 you need help with?
