Step-by-step explanation:
Hey there!
The midpoint formula is;

Where, (x1), (y1), (x2) and (y2) are the given coordinates.
<em><u>Hope</u></em><em><u> </u></em><em><u>it helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>
Answers:
- cos(2theta) = -119/169
- cos(theta) = -5/13
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The given info is:
- sin(theta) = 12/13
- theta is in quadrant II
From that, we can use the pythagorean trig identity to find that cos(theta) = -5/13. Keep in mind that cosine is negative in quadrant II.
Now use the trig identity below to compute cos(2theta)

Other options you could use are these identities

or

<span>We want to check how many intersections line A and B have, that is, we want to check how many common solutions do these equations have:
</span>
i) 2x + 2y = 8
ii) x + y = 4
<span>
use equation ii) to write y in terms of x as : y=4-x,
substitute y =4-x in equation i):
</span>2x + 2y = 8
2x + 2(4-x) = 8
<span>2x+8-2x=8
8=8
this is always true, which means the equations have infinitely many common solutions.
Answer: </span><span>There are infinitely many solutions.</span><span>
</span>
Answer:
C-1/64
Step-by-step explanation:
(1/4)(1/4)(1/4)=1/64
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