Answer: domain is all real numbers and range is all real numbers greater than or equal to -2
Step-by-step explanation:
Answer:
p - 5q = 4qr where
q = 4 and r = -1 by applying these value
p - 5(4) = 4(4)(-1)
p - 20 = -16
p = -16 + 20
p = 4
Step 1: List the numbers in order (Least - Greatest): 2, 2, 5, 5, 19, 19, 25, 25, 28
Step 2: Find the middle number: <span>2, 2, 5, 5, 19, 19, 25, 25, 28
Answer: 19
(Information for further questions): If there are 2 middle numbers, average them. (Add them up and divide by 2)</span>
Answer:
The answer would be -4x - 42.
Step-by-step explanation:
Goal: Simplify the equation.
- You need to distribute the - sign where it isn't. So the equation should look like this now: 4(-3-5)+-1(10+4x).
- Now multiply -1(0+4x): (-1)(10) + -1(4x) to get 4(-3-5) +-10+-4x
- Now multiply 4(-3-5): (4)(-3)= -12 / (4)(5) = 20 / -12-20 = -32
- The equation should now look like: -32 + -10 + -4x
- Next, we need to combine like terms and since the like terms are -32 and -10, the equation should look like: -4x + (-32 + -10).
- Add -32 with -10: -32 + -10 = -42.
- You can't do anything with the -4x so therefore, the equation would be -4x - 42.
Answer:
The height of the statue is <u>21.4 feet.</u>
Step-by-step explanation:
Given:
Distance of the person from the statue = 50 ft
Angle of elevation of the top of statue = 16°
Angle of depression of the bottom of statue = 8°
The diagram is drawn below.
In triangle ABC:
BC = 50 ft, ∠ABC = 16°
Using trigonometric formula;



Now, let us determine the height of man, 'x'.
Consider triangle BDE.
ED = 50 ft, ∠BDE = 8°
Using trigonometric formula;

Now, from the diagram, it is clear that, height of statue is given as:
