Answer: PN = 8√2 ≈ 11.3
<u>Step-by-step explanation:</u>
Perimeter of a square: P = 4s
Given: P = 64 → 64 = 4s
16 = s
Using the 45-45-90 rule: If the sides are 16, then the hypotenuse (diagonal) = 16√2
Since we only need half of the diagonal, (16√2)/2 = 8√2 ≈ 11.3
From the figure the coordinates of A are:
(-8,-4), (-6,-3), (-4,-5)
The coordinates of A' are: (-4,-6),(6,-5),(8,-7)
subtracting 2 corresponding points we get:
[(4--8),(-6--4)]
=(12,-2)
this means that the image has been translated 12 units to the right and 2 units down.
Answer:
<span>a translation 12 units right and 2 units down.</span>
Answer:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Step-by-step explanation:
Take a look at B: 4a^2 - 10 a + 25. The square roots of 4a^2 and 25 are 2a and 5 respectively. Does (2a - 5)^2 come out to 4a^2 - 10a + 25? No.
Take a look at C: 25b^2 - 5b + 10 We know this is not a perfect square trinomial because 10 is not a square.
D: 16x^2 - 8x + 1: both 16x^2 and 1 are perfect squares, so we have:
(4x - 1)^2 = 16x^ - 8x + 1. This is a perfect square trinomial.
Answer:
None
Step-by-step explanation:
The sum of the inner angles of a triangle must be 180. Instead, you have
So, a figure with these angles can't be a triangle.