The dimensions of various-sized mirrors are created using the expression 0.5x – 2 for the width and 2x + 2 for the length. The function A(x) = x2 – 3x – 4 represents the area of the mirrors. The maximum length of the mirrors is 52 centimeters. How do the mathematical domain and reasonable domain compare?

a.) mathematical: {x E R} reasonable: {x > 0}

b.) mathematical: {x E R} reasonable: {x > 4}

c.) mathematical: {x > 1.5} reasonable: {x > 0}

d.) mathematical: {x > 1.5} reasonable: {x > 4}

b all real numbers x>4

Step-by-step explanation:

edg answer

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step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°