Answer:
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Answer:
1st quadrant
Step-by-step explanation:
The real and imaginary portions are both positive, so the the point will be in the top right quadrant
The fraction 12/16 has the same .75 value as the fraction 3/4
<em>The x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>
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Explanation:</h2>
The Standard Form of the equation of a line is given by:
So:
is written in Standard Form. The x and y intercepts are:
So:
FOR X-INTERCEPT:
FOR Y-INTERCEPT:
Finally,<em> the x and y intercept of 5x + 5y = -30 are (-6, 0) and (0, -6) respectively.</em>
<h2>Learn more:</h2>
Parallel lines: brainly.com/question/12169569
#LearnWithBrainly
Recall the sum identity for cosine:
cos(a + b) = cos(a) cos(b) - sin(a) sin(b)
so that
cos(a + b) = 12/13 cos(a) - 8/17 sin(b)
Since both a and b terminate in the first quadrant, we know that both cos(a) and sin(b) are positive. Then using the Pythagorean identity,
cos²(a) + sin²(a) = 1 ⇒ cos(a) = √(1 - sin²(a)) = 15/17
cos²(b) + sin²(b) = 1 ⇒ sin(b) = √(1 - cos²(b)) = 5/13
Then
cos(a + b) = 12/13 • 15/17 - 8/17 • 5/13 = 140/221
