Answer: The graph decreases, then increases. c.The graph remains constant. d.The graph increases, then decreases.
Step-by-step explanation:
Answer:
Red : 5/12
Blue : 1/3
Green: 1/6
Yellow : 1/12
Step-by-step explanation:
5 red marbles + 4 blue marbles + 2 green marbles + 1 yellow marble = 12 total marbles
5 red marbles / 12 total marbles = 5/12
4 blue marbles / 12 total marbles = 4/12 = 1/3
2 green marbles / 12 total marbles = 2/12 = 1/6
1 yellow marbles / 12 total marbles = 1/12
The correct expressions are
-8.8
11(-2)
-6.7
Answer:
x= 13, angle 1= 37, and angle 2= 53
Step-by-step explanation:
So you have 2x+11+1+4x=90 degrees
If you simplify it, it becomes 6x+12=90 degrees
Then, you rearrange; 6x=90-12 or 6x= 78
So then, x=13
For angle 1 its 2x+11= 37 degrees
And angle 2 is 1+4x= 53 degrees
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
<h3>Trigonometry identity</h3>
Trigonometry identities are expressed as a function of cosine, sine and tangent.
Given the trigonometry expression shown
4cos2θ+9=−14cosθ
Equate to zero
4cos2θ+9 + 14cosθ = 0
According to trig identity
cos2θ = 2cos²θ - 1
Substitute to have:
4(2cos²θ - 1)+9 + 14cosθ = 0
Expand
8cos²θ - 4 + 9 + 14cosθ = 0
8cos²θ+ 14cosθ + 5 = 0
let P = cosθ to have;
8P² + 14P + 5 = 0
Factorize the result
8P² + 10P + 4P + 5 = 0
2P(4P+5)+1(4P+5)=0
(2P+1) = 0 and 4P+5 = 0
2P = -1 and P = -5/4
P = -1/2 and -5/4
Recall that P = cosθ
If P = -1/2
cosθ = -1/2
θ = -60
Since cosine is negative in the second and 3rd quadrant, the required angles are 120 and 240 degrees
Learn more on trigonometry identity here: brainly.com/question/24349828
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