1) is: (4,-1)
I: x>3
II: y<=2*x-5
a: (5,6):
I: 5>3 ?yes
II: 6<=2*5-5
6<=5 ?no
This is not a solution
b: (4,-1):
I: 4>3 ?yes
II: -1<=2*4-5
-1<=3 ?yes
This is a solution
c: (-3,-1):
I: -3>3 ?no
This is not a solution
d: (1,11):
I: 1>3 ?no
This is not a solution
2) is (8,-1):
I: x+y>=5
II: x-2*y>8
a: (6,1):
I: 6+1>=5
7>=5 ?yes
II: 6-2*1>8
4>8 ?no
This is not a solution
b: (8,-1):
I: 8+-1>=5
7>=5 ?yes
II: 8-2*-1>8
10>8 ?yes
This is a solution
c: (6,2):
I: 6+2>=5
8>=5 ?yes
II: 6-2*2>8
2>8 ?no
This is not a solution
d: (6,-2):
I: 6+-2>=5
4>=5 ?no
This is not a solution
3) is (6,2):
I: 2*x+4*y>0
II: -x+5*y>0
a: (0,0):
I: 2*0+4*0>0
0>0 ?no
This is not a solution
b: (-4,-2):
I: 2*-4+4*-2>0
-16>0 ?no
This is not a solution
c: (6,2):
I: 2*6+4*2>0
20>0 ?yes
II: -6+5*2>0
4>0 ?yes
This is a solution
d: (6,0):
I: 2*6+4*0>0
12>0 ?yes
II: -6+5*0>0
-6>0 ?no
This is not a solution
Answer:
This is how tackle this type of problem:
Draw a right triangle with the indicated sides: side opposite the angle = 12 and hypotenuse = 13
Then, calculate the 3rd side by Pythagoras: x2 + 122 = 132
x2 = 169 - 144
x2 = 25
x = 5
Now, we have all 3 sides of our diagram triangle, so we can find all the trig ratios for the angle.
Next, we use the double angle formula to simplify cos(x + 30) = cos x cos 30 - sin x sin 30
= 5/13 . √3/2 - 12/13 . 1/2
= 5√3 /26 - 6/13
= (5√3 - 12) / 26
Step-by-step explanation:
please mark me as brainlist please hi
9514 1404 393
Answer:
1.1.1 sin(241°) = -√t
1.1.2 cos(61°) = √(1 -t)
Step-by-step explanation:
<u>Given</u>:
sin(61°) = √t
<u>Find</u>:
1.1.1 sin(241°)
1.1.2 cos(61°)
<u>Solution</u>:
1.1.1 sin(180° +x) = -sin(x)
sin(241°) = -sin(61°) = -√t
__
1.1.2 cos(x) = √(1-sin²(x))
cos(61°) = √(1 -(√t)²) = √(1 -t)
DGE, it’s a vertical angle
The answer is 4pi because the formula to find the circumference is C = 2 pi r. this question is asking for the terms of pi which means you remove the pi from the formula and solve it with out it. the radius is 2 because of the 2 units on the graph is halfway of the circle. you would just multiply 2 x 2 and get 4. after that you put the pi on the end of the 4. so the answer is C. (4pi)
