Select the ordered pairs that represent solutions to the system of inequalities.Select all that applyAnswer choices:(-6, 3)(-3,
3)(-5, 0)(-4, 2)(0,0)(-6, 6)(-3, -6)(-4.0)
1 answer:
You might be interested in
9514 1404 393
Answer:
D
Step-by-step explanation:
In the second quadrant, ...
c = 180° -arcsin(24/25) ≈ 106.26°
In the third quadrant, ...
d = 360° -arccos(-3/4) ≈ 221.41°
Then cos(c+d) = cos(327.67°) ≈ 0.84498
This is a positive irrational number, greater than 21/100, so the only reasonable choice is the last one:
_____
Perhaps you want to work this out using the trig identities.
cos(c) = -√(1 -sin(c)²) = -7/25
sin(d) = -√(1 -cos(d)²) = -(√7)/4
Then the desired cosine is ...
cos(c+d) = cos(c)cos(d) -sin(c)sin(d)
cos(c+d) = (-7/25)(-3/4) -(24/25)(-√7/4)
cos(c+d) = (21 +24√7)/100 . . . . matches choice D
Answer:
<u>domain: {10,15,19,32}</u>
<u>range:{5,9,-1}</u>
Step-by-step explanation:
- As we know domain is the values of input and range is the values of output.
- Here , x is the input and y is the output.
- Thus the input values according to the given problem is : 10 ,15 , 19, and thus ,
⇒<em>The domain would accordingly be these four numbers : 10 , 15 , 19 , 32.</em>
- <u>Note that we donot have any information regarding the other values of x.</u>
- The range is : { 5,9,-1 } only as the 5 is repeated in two cases .
- Range is unique and there must be not repetition. Thus the apt answer would be :
<em>domain: {10,15,19,32}</em>
<em>range:{5,9,-1}</em>