How many sides does an irregular octagon have?

Mathematics

2 answers:

fiasKO [112]3 years ago

7 0

Even though its irregular its still an octagon. Therefore, it will still have 8 sides.

Sloan [31]3 years ago

6 0

The answer is C. 8. Its still an octagon. Just irregular in shape

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write an equation in point-slope form for the line through the given point with the given slope. (10, –9); m = –2 a. y – 9 = –2(

Bas_tet [7]

Hello,

y+9=(x-10)*(-2)
==>y=-2x+11

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3 0

3 years ago

Find an equation in standard form of the parabola passing through these points: (0,-6),(-1,-12),(3,0)

Elan Coil [88]

One form of the equation of a parabola is
y = ax² + bx + c

The curve passes through (0,-6), (-1,-12) and (3,0). Therefore
c = - 6 (1)
a - b + c = -12 (2)
9a + 3b + c = 0 (3)

Substitute (1) into (2) and into (3).
a - b -6 = -12
a - b = -6 (4)
9a + 3b - 6 = 0
9a + 3b = 6 (5)

Substitute a = b - 6 from (4) into (5).
9(b - 6) + 3b = 6
12b - 54 = 6
12b = 60
b = 5
a = b - 6 = -1

The equation is
y = -x² + 5x - 6

Let us use completing the square to write the equation in standard form for a parabola.
y = -[x² - 5x] - 6
= -[ (x - 2.5)² - 2.5²] - 6
= -(x - 2.5)² + 6.25 - 6

y = -(x - 2.5)² + 0.25
This is the standdard form of the equation for the parabola.
The vertex us at (2.5, 0.25).
The axis of symmetry is x = 2.5
Because the leading coefficient is -1 (negative), the curve opens downward.
The graph is shown below.

Answer: y = -(x - 2.5)² + 0.25