Answer:
(4, 4)
Step-by-step explanation:
Coordinates of a point (x, y) after dilation with a scale factor k,
Rule to be followed,
(x, y) → k(x, y)
→ (kx, ky)
Coordinates of point T are (8, 8).
Dilation of the point T after dilation with a scale factor of will be,
(8, 8) →
→ (4, 4)
Therefore, coordinates of the image point B' will be (4, 4).
<u>Answer-</u>
<em>D. The function has one real zero and two nonreal zeros. The graph of the function intersects the x-axis at exactly one location.</em>
<u>Solution-</u>
The given polynomial is,
The zeros of the polynomials are,
Therefore, this function has only one real zero i.e 1 and two nonreal zeros i.e ±√6i . The graph of the function intersects the x-axis at exactly one location i.e at x = 1
Answer:
46
Step-by-step explanation:
∠DAC ≅ ∠ACB because they are opposite interior angles where transversal AC crosses parallel lines BC and AD.
∠DAC ≅ ∠CAB because they are corresponding angles of the similar triangles ΔABC and ΔACD.
Hence ∠ACB ≅ ∠CAB and ΔABC is isosceles with side lengths both being 9. The corresponding side lengths of ΔACD are 12, meaning the base of ΔABC, segment AC, is 12. The scale factor of ΔACD to ΔABC is then 12:9 = 4:3, so the base AD of ΔACD is (4/3)×12 = 16.
So, the side lengths of the trapezoid are ...
and the perimeter is 9 +9 +12 +16 = 46 units.
