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Simora [160]
3 years ago
10

PLS HALP I'm stuck on number 31

Mathematics
1 answer:
Marta_Voda [28]3 years ago
8 0
There are 2 possibilities for where A can be: one where C is 30° (and A is 60°) and another where C is 60° (and A is 30°). Since it's not specified, we can find both.

30°:
drawing the triangle on a graph, you can see that point C is 4 units above point B, so we know that one side of the triangle is 4. Once we find the other "leg" of the triangle (the one that's parallel to the x-axis), we can just add that value to B to find the x coordinate of A.
If angle C is 30°, using the side ratios of a 30-60-90 triangle, that side is "a√3", and the side we're looking for is a. So, to find a, we just divide 4 by √3. In that case, point A is 4/(√3) units to the right of -2√3. We can rationalize 4/(√3) like this:

(4√3)/3

and then add that to 2√3:

(4√3)/3 + -2√3

(4√3)/3 + (-6√3)/3 = (-2√3)/3

We know that the x-coordinate of A is (-2√3)/3, and the y-coordinate is -1 because B is a right angle and we're just moving horizontally. So, if C is 30° and A is 60°, point A is at ((-2√3)/3, -1).

60°:
in this case, the leg we know is "a" and the leg we're looking for is "a√3". So, we can multiply 4 by √3 to get the distance from B:

4 x √3 = 4√3

4√3 + -2√3 = 2√3

So the x-coordinate of A here is 2√3, and the y-coordinate is still -1: (2√3, -1).

hope that helps! if you liked this answer please rate it as brainliest!! thank you!!!

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pickupchik [31]

Answer:

b (-3,3)

Step-by-step explanation:

it's where the two lines intersect

hope this helps

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2 years ago
Column A
Viefleur [7K]
The slope m of a line passing through points P(a, b) and Q(c, d) is found using the formula:

                     m= \frac{b-d}{a-c}.

Thus, the slope in A is m= \frac{12-2}{-4-(-10)}=\frac{10}{6}=\frac{5}{3}.

The slope in B is m= \frac{-4-10}{6-18}=\frac{-14}{-12}=\frac{7}{6}.

Now, to compare 7/6  to 5/3, we can write the second fraction as 10/6.


So, the slope in A is larger than the slope in B.


Answer: A
3 0
3 years ago
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Montano1993 [528]
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Greeley [361]

Answer:

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