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▹ Answer
<em>8 - 3q</em>
▹ Step-by-Step Explanation
19 - 4q + q - 11
Combine like terms in terms of q:
-4q + q = -3q
Combine like terms:
19 - 11 = 8
Final answer:
8 - 3q
Hope this helps!
CloutAnswers ❁
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Answer:
14×6 = 84
7-12 = -5
.°. 7x - 12x is the answer
Step-by-step explanation:
14x²- 5x - 6
14x²- (7 - 12)x - 6
14x²- 7x + 12x - 6
7x(2x - 1) + 6(2x - 1)
(7x + 6) (2x -1)
The exact value of sin θ and cos θ is: sinθ =(√105)/19 and cosθ =16/19
The terminal side of an angle is the angle at the standard position. The terminal side of an angle θ drawn in angle standard position is the side which isn't the initial side.
Given that the point of intersection of the terminal side of θ an the unit circle is:
(16/19,y)
The exact value of sin θ and cos θ is: sinθ =(√105)/19 and cosθ =16/19
The given parameters is represented by:
(16/19,y)
This means that :
(cosθ ,sinθ )=(16/19,y)
Using the following trigonometric identity:
cos²θ +sinθ =1
We have:
(16/19)²+y²=1
Expand fraction:
(256/361)+y²=1
Collect like terms:
y²=1-(256/361)
Take LCM:
y²=(361-256)/361
y²=105/361
Take square roots
y=(√105)/19
Substitute value for y in
(cosθ ,sinθ )=(16/19,y)
By comparison:
cosθ =16/19
sinθ =(√105)/19
So the exact value of sin θ and cos θ is: sinθ =(√105)/19 and cosθ =16/19
READ MORE ABOUT TERMINAL ANGLES FROM:
brainly.com/question/17261262
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Answer:
B. (3, 14).
Step-by-step explanation:
Substitution means that you first solve for one variable, and then use that solution to find the other.
For example, if x = y, and x + 5 = 7, you can say that y + 5 = 7.
Now, moving on to the actual problem.
The first equation says that y = 6x - 4, and the second equation says y = 7x - 7.
That means for the first equation, instead of y, it is valid to say that 7x - 7 = 6x - 4.
7x - 7 = 6x - 4
7x - 6x = -4 + 7
x = 3.
You could put the x=3 into the y = 7x - 7 equation to find what the y-coordinate is.
y = 7 * 3 - 7
y = 21 - 7
y = 14.
And there you have your coordinates! (3, 14).
Hope this helps!