Answer:5
Step-by-step explanation:
Answer:
Interval rate of change
<span>[-5, -1] -8
</span><span>
</span><span> [-4, -1] -7
</span><span>
</span><span>[-3, 1] -4
</span><span>
</span><span> [-2, 1] -3
</span><span>
</span><span>
</span><span>Explanation:
</span>
1) Table
<span>x
f(x)
</span>
<span>-5 35
</span>
<span>-4 24
</span>
<span>-3 15
</span>
<span>-2 8
</span>
<span>-1 3
</span>
<span> 0 0
</span>
<span> 1 -1
</span>
2) Solution:
i) formula: rate of change = [change in f(x)] / [change in x]
ii) interval [-5, -1] ⇒
rate of change = [ f(1) - f(-5) ] / [-1 - (-5)] = [-1 - 35] / [-1+5] = -36 / 4 = - 8
iii) interval [-4, -1] ⇒
rate of change = [ f(-1) - f(-4) ] / [ -1 - (-4) ] = [3 - 24] / [-1 + 4] = -21/3 = - 7
iv) interval [-3,1] ⇒
rate of change = [ f(1) - f(-3) ] / [ 1 - (-3) ] = [-1 - 15] / [1 + 3] = -16/4 = - 4
v) interval [-2,1] ⇒
rate of change = [f (1) - f(-2)] / [1 - (-2)] = [ -1 - 8] / [1 + 2] = -9/3 = -3
Answer:
Solutions given:
opposite side [0pp]=x
hypotenuse [Hypo]=7
angle A=36°
Now
relationship between opposite side and hypotenuse is given by Sin angle
Sin A=
Sin 36=
x=Sin36*7
x=4.11
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9514 1404 393
Answer:
Step-by-step explanation:
A regular nonagon has vertices that are 360°/9 = 40° apart. Any rotation by a multiple of 40° will make the figure indistinguishable from the original.
Rotational symmetry of 40° applies.
Rotational symmetry of 200° applies.