slope = rise over run = y/x
A (-1,3) slope = 3/-1 = -3
B (1,2) slope = 2/1 = 2
C (-3,-1) slope = -1/-3 = 1/3
2 lines need to be negative reciprocals in order to be a right triangle
negative reciprocal of -3 is 1/3
so this is a right triangle
The test That holds true for this inequality is given as 1/4 and 1
<h3>How to solve for the inequality</h3>
3/2 y - 2x > 1
The goal is to make y the subject
then
3/2 y > 2x + 1
We have to divide through the equation by 3/2
Such that y > 4/3 x + 2/3
Read more on inequality here: brainly.com/question/25275758
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<h3>There are two answers: Choice C, Choice D</h3>
Explanation:
For any acute triangle, the center of the circle is always inside the triangle.
For any right triangle, the center of the circle is the midpoint of the hypotenuse. The hypotenuse is the diameter of the circle.
For any obtuse triangle, the center of the circle is outside the triangle.
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Let's look at the answer choices more closely
A. False. This is only true if we have a right triangle as mentioned earlier.
B. False. This describes an inscribed circle.
C. True. As stated earlier.
D. True. This is based on how the circumscribed triangle is defined. It is set up to be the circle that goes through all three vertex points of a triangle. In other words, it is the smallest circle to completely enclose the given triangle.
Answer:
there is no y intercept. if there was it would be at the end of -3x
