When we reflect a point across y=x, the x and y coordinates switch out , that is (x,y) becomes (y,x) . SO for point (1,2), on reflection across y=x, (1,2) becomes (2,1) . And when we do reflection across y=-x, (x,y) becomes (-y,-x). Therefore point (2,1) on reflection across y=-x becomes(-1,-2) .
So the final answer is (-1,-2) .
Two angles are complementary when they add up to 90 degrees<span>
</span><span>smaller angle = x
</span><span>larger angle = 9x
</span>
x + 9x = 90
10x = 90
x = 90/10
x = 9° ← smaller angle
larger angle = 9x = 9 * 9 = 81°
Answer:
C. 5
Step-by-step explanation:
first expression 5 × (9-3) = 30
second one 45 - 3x
to make it 30 = 30
x should be = 5
-16.9x + 16 is the correct answer. You have to remove the parentheses, collect the like terms, and then simplify.
Answer:
1421/576
Step-by-step explanation:
Sum = - 13/8 + 5/12 = - 39/24 + 10/24 = - 29/24
Difference = - 13/8 - 5/12 = - 39/24 - 10/24 = - 49/24
Sum * Difference = (-29/24)*(-49/24) = 1421/576
