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bixtya [17]
3 years ago
9

Match the term with the definition​

Mathematics
2 answers:
natita [175]3 years ago
8 0

Answer:

1 - c

2 - a

3 - e

4 - d

5 - b

sergejj [24]3 years ago
7 0

Answer:  c, a, e, d, b

<u>Step-by-step explanation:</u>

1. Angle: (c) A figure consisting of two rays with the same endpoint.

2. Circle: (a) The set of all points in a plane that are a given distance from a point. <em>That distance is called the radius.</em>

3. Point: (e) A location, has no size.

4. Ray: (d) The portion of a line that starts at one point and goes off to infinity.

5. Vertex: (b) A point where two or more rays or "arms" of an angle meet.

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Answer:

{1, 7}

Step-by-step explanation:

Start with x^2 - 8x + 7 = 0.

We want to modify the first two terms to resemble x^2 - ax + b - b, where a is the coefficient (here -8) of the x term and b is the square of half of a.

Here, a = -8.  Half of that is -4.  The square of -4 is 16, and this is the value of b.

Write out x^2 - 8x     as    x^2 - 8x + 16 - 16.  This is the perfect square of -4, added to x^2 - 8x and then subtracted from the result

Then the original equation, x^2 - 8x + 7 = 0, can be rewritten as:

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We want to solve this result for x.  To do this, take the square root of both sides:

x - 4 = ±√9, or x - 4 = ±3.

Adding 4 to both sides, we get:

x = 4 ± 3.  Thus, the solutions are x = 4 + 3 = 7 and x = 4 - 3 = 1.

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