The rule of the transformation is
(x,y)->(-y,x)
which corresponds to a 90 counterclockwise rotation about the origin,
which in turn corresponds to a 270 clockwise rotation about the origin.
Note that all rotations preserve lengths and angles, hence the image and preimage are congruent.
9p^2-6p5q^2 in standard form it would be: 9p^2+5q^2-6p
Answer:
two dice are thrown, so S = {(1,1); (1,2); (1,3); ...;(6,5); (6,6)} ---> 36
the sum is 2, 4, 6
sum = 2 --> (1,1) ---> 1
= 4 --> (1,3); (2;2); (3,1) ---> 3
= 6 --> (1,5); (2,4); (3,3); (4;2); (5,1) ---> 5
⇒
= 9/36 = 1/4
Answer:
(10, - 9 )
Step-by-step explanation:
Given the 2 equations
y = - 2x + 11 → (1)
y = - 3x + 21 → (2)
Substitute y = - 2x + 11 into (2)
- 2x + 11 = - 3x + 21 ( add 3x to both sides )
x + 11 = 21 ( subtract 11 from both sides )
x = 10
Substitute x = 10 into either of the 2 equations and evaluate fir y
Substituting into (1)
y = - 2(10) + 11 = - 20 + 11 = - 9
solution is (10, - 9 )
Pretty sure it's right top corner