Answer:
x = - 2 ±
Step-by-step explanation:
Given
x² = - 4x + 3 ( add 4x to both sides )
x² + 4x = 3
To complete the square
add (half the coefficient of the x- term)² to both sides
x² + 2(2)x + 2² = 3 + 2²
(x + 2)² = 3 + 4 = 7 ← take the square root of both sides
x + 2 = ± ← subtract 2 from both sides
x = - 2 ± ← exact values
Definitely Graph C.
The dots are aligned correctly to the line better than the other graphs.
Answer:
158
Step-by-step explanation:
5*8=40
8*3=24
3*5=15
Each of these measurements gets added twice, becasue there are 6 faces on a rectangular prism.
40 + 40 + 24 + 24 + 15 + 15 = 158
Answer:
(6 +31)(6 - 31) = -925
(4 -51)(4+51) = -2585
(-3 +81)(-3-81) = -6552
Step-by-step explanation:
(6 + 31)(6 - 31)
6 + 31 = 37
6 - 31 = -25
(37)(-25)
37 * -25 = -925
(6 +31)(6 - 31) = -925
(4 -51)(4+51)
4 - 51 = -47
4 + 51 = 55
(-47)(55)
-47 * 55 = -2585
(4 -51)(4+51) = -2585
(-3 +81)(-3-81)
-3 + 81 = 78
-3 - 81 = -84
(78)(-84)
78 * -84 = -6552
(-3 +81)(-3-81) = -6552
Answer: y = |x-3|
The point (1,1) has been moved 3 spots to the right to get to (4,1). The entire equation of the V shaped curve will also move 3 spots to the right. So that's how we go from |x| to |x-3|. Note how plugging in x = 4 leads to y = |x-3| = |4-3| = |1| = 1