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hram777 [196]
2 years ago
8

The point A(−4,5) is reflected over the point (2,3) and its image is point B. What are the coordinates of point B?

Mathematics
1 answer:
Allisa [31]2 years ago
3 0

Answer: (8,1)

Step-by-step explanation:

The line that connects (-4,5) and (2,3) has a slope of (-2/6) or -1/3. The y-intercept is calculated from one of the points: 3 = -(1/3)*(2) + b

b = 3 2/3

The equation for the line is y = -(1/3)x + 3 2/3

The reflection covers a distance of x of (2 - (-4)) = 6. Add 6 to the x value of (2,3) and calculate the resulting y. (8,y): y = -(1/3)(8) + 3 2/3, y = -8/3 + 11/3 = 3/3 or 1

The point is (8,1)

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iogann1982 [59]

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We know that x^2 -6x-7 is the product of two binomials.

We can solve this two ways, but the easier way is to simply factor rather than divide the area by width.

Two numbers, one of which being -7 allows for the sum of -6 and the product of -7.

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