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VARVARA [1.3K]
3 years ago
15

Determine the measure of angle BZC.

Mathematics
1 answer:
dusya [7]3 years ago
8 0

Answer:

70 degrees

Step-by-step explanation:

Angle BZA = Angle BZC = 20 degrees

Reason : These two angles are Vertically opposite angles.

Angle BZA + Angle BZC = 90

20 + Angle BZC = 90

Angle BZC = 90 - 20

Angle BZC = 70 degrees

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Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

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In this case:

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(f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when x = 0, f(g(x)) = 25. So

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\Delta = (-8)^2 - 4(4)(-45) = 784

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x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5

The possible values are a = -2.5 or a = 4.5.

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