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3 years ago

What is the domain of the letter g?

Mathematics

1 answer:

katovenus [111]3 years ago

7 0

Answer:

Step-by-step explanation:

recall that any radical expression $\sqrt{A}$ has real solutions only if A is not negative. (otherwise you will have imaginary solutions)

hence in this case we have

$\sqrt{8x}$ ,

for real solutions, 8x must be ≥ 0,

since 8 is a positive number, x must be ≥ 0 (answer)

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find sin(alpha-beta) if sin alpha =-5/13 with alpha between pi and 3pi/2; cos beta=2/5 with beta between 3pi/2 and 2pi

ludmilkaskok [199]

sin(α) = ⁻⁵/₁₃
sin⁻¹[sin(α)] = sin⁻¹(⁻⁵/₁₃)
α ≈ 1.1256π

cos(β) = ²/₅
cos⁻¹[cos(β)] = cos⁻¹(²/₅)
β ≈ 1.6311π

sin(α - β) = sin(1.1256π - 1.6311π)
sin(α - β) = sin(-0.5055π)
sin(α - β) = -sin(0.5055π)
sin(α - β) = -sin(90.99)
sin(α - β) ≈ -0.116

8 0

3 years ago

Someone please answer this!!

adoni [48]

Answer:

4m is the answer.

Step-by-step explanation:

a = 3m

b = ?

c = 5m

According to the Pythagoras theorem,

a² + b² = c²

3² + b² = 5²

9 + b² = 25

b² = 25 - 9

b² = 16

b = 4m

∴ The distance between the ladder and the bottom of the slide is 4m.

5 0

3 years ago

Gina and rhonda work for different real estate agencies gina earns a monthly salary of $5,000 plus 6% commission on her salary r

ladessa [460]

Each must sell 35,678 dollars each year not counting commision to add 6 percent of that.

6 0

3 years ago

The figure is a circle with center O.

STatiana [176]

Given:

Given that the circle with center O.

The radius of the circle is OB.

The chord of the circle O is PQ and the length of PQ is 12 cm.

We need to determine the length of the segment PA.

Length of the segment PA:

We know that, "if a radius is perpendicular to the chord, then it bisects the chord and its arc".

Thus, we have;

$PA=\frac{PQ}{2}$

Substituting the value PQ = 12, we get;

$PA=\frac{12}{2}$

$PA=6 \ cm$

Thus, the length of the segment PA is 6 cm.

Hence, Option d is the correct answer.

3 0

2 years ago

S (3, -5), T (0, -2), U (-3, -5) scale factor = 4 S' = T' = U'=

Svetach [21]

S’(12,-20) T’(0,-8) U’(-12,-20)

3 0

2 years ago