Answer:
see explanation
Step-by-step explanation:
(a)
Under a rotation of 180° about the origin
a point (x, y ) → (- x, - y)
the coordinates of P, Q and R are
P(1, -1 ), Q(3, - 2 ), R(3, - 4 )
Hence under the given rotation
P(1, - 1 ) → P'(- 1, 1 )
Q(3, - 2 ) → Q'(- 3, 2 )
R(3, - 4 ) → R'(- 3, 4 )
(b)
Under a reflection in the x-axis
a point (x, y ) → (x, - y ), hence
P(1, - 1 ) → P''(1, 1 )
Q(3, - 2 ) → Q''(3, 2 )
R(3, - 4 ) → R''(3, 4 )
Since you didn't provide the choices, I can only give you some help. Then, you can select the correct choices.
The converse of the Pythagorean Theorem is when the square of the longest side of a triangle is equal to the sum of the squares of the two other sides for a triangle ABC with sides of a, b, c, then triangle ABC is a right triangle.
Leah is 24 and her cousin is 12. Since 24 is double of 12, thats your answer and it makes the most sense.
Answer:
5
Step-by-step explanation:
The slope is 5 because the equation is y = 200-5x where 5 is the slope because it is the rate of change.
Answer:
The answer is (h).
Step-by-step explanation:
When y = 2^x is shifted 4 units left, the x shifts 4 units to the left and x becomes (x+4). When the graph is shifted to units down, y has to be subtracted by 2.
The function becomes
y = 2^(x+4) -2.
Finally, you shift -2 to the same side as y.
This becomes
y+2 = 2^(x+4) which is (h)
