Answer:
Step-by-step explanation:
Please use " ^ " to indicate exponentation: y= x^2 + 11x + 24. Thanks.
Because x^2 is positive, the graph of this parabola opens up.
We can find the vertex and roots (zeros) as follows, using the quadratic formula:
With a = 1, b = 11 and c = 24,
-11 ± √ [ (11^2-4(1)(24) ] -11 ± √25
x = ------------------------------------ = --------------- = -3 and x = -8
2(1) 2
This tells us that the x-intercepts are at (-3, 0) and (-8, 0). The minimum value is at x = -b / (2a), which here is x = -11 / [2] = -5 1/2 (which is halfway between the zeros).
The vertex (and thus, the minimum) is at (-5 1/2, f(-5 1/2) ).
Answer:
Step-by-step explanation:
y = 2x - 8. slope here is 2. A perpendicular line will have a negative reciprocal slope. All that means is flip the slope and change the sign.
slope 2 or 2/1.....flip it....1/2....change the sign...-1/2. so our perpendicular line will have a slope of -1/2.
y - y1 = m(x - x1)
slope(m) = -1/2
(6,3)...x1 = 6 and y1 = 3
now we sub
y - 3 = -1/2(x - 6) <==== ur equation
Answer:
x² + 16x + 64
Step-by-step explanation:
(a + b)² = a² + 2ab + b²
Here, a = x & b = 8
(x+8)² = x² + 2*x*8 +8²
= x² + 16x + 64
STEP BY STEP
200+[-55]+[-77]+ [-68]
200+[-55-77-68]
200+[-200]
200 -200
0
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