11. What values of a, b, and c make this equation true?
1 answer:
9514 1404 393
Answer:
A, a = 4, b = -3, c = 3
Step-by-step explanation:
Expanding the left side gives ...
2x^2 -x -10 +ax^2 +bx +c
= (2 +a)x^2 +(b -1)x +(c -10)
Equating coefficients with terms on the right side gives ...
x^2: (2 +a) = 6 ⇒ a = 4 . . . . . . eliminates choice C
x: (b -1) = -4 ⇒ b = -3 . . . . . . . . eliminates choices B, D
constant: c -10 = -7 ⇒ c = 3 . . . confirms choice A
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Given that a triangle in the coordinate plane has coordinates of (3, 5), (1, −3), and (−3, 4). Now these points are translated and the new coordinates are (1, 7), (−1, −1), and (−5, 6).
Questioon says to find which type of translation occured from the given choices.
It can be easily found by drawing the given coordinates.
Original position of the triangle is drawn in Brwon colour.
New position of the triangle is drawn in Green colour.
From graph we can clearly see that each of the original coordinate moves two unit left then 2 units upward to get new coordinate.
Hence choice "A) It moved left two units and up two units." is the final answer.
Look at the picture.
Domain: -4 ≤ x ≤ 4
Range: -1 ≤ y ≤ 1
<h3>Answer: {x | -4 ≤ x ≤ 4}</h3>