Point H is located at (2,-7). Select all of the following that are 7 units from point H. Choose all answers that apply: A x-axis B (-5,-7) c (-7,7)

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Point  H is located at  (2,-7). Select all of the following that are 7 units from point  H. Choose all answers that apply: A  x-axis B  (-5,-7) c  (-7,7)

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Distance Formula Explanation: To determine which points are 7 units away from point H, we need to consider the distance formula, which is the square root of the sum of the squares of the differences in the x-coordinates and y-coordinates. The distance d between two points (x1, y1) and (x2, y2) is given by: d = √((x2 - x1)² + (y2 - y1)²) We are looking for points where this distance equals 7.Consider X-Axis: Let's first consider option A, the x-axis. The x-axis has a y-coordinate of 0. To be 7 units away from point H on the x-axis, we need to find an x-coordinate such that the distance from H to this point on the x-axis is 7. This means we need to solve the equation: 7 = √((x - 2)² + (0 - (-7))²)Check Option B: Simplifying the equation, we get: 7 = √((x - 2)² + 7²) 7 = √((x - 2)² + 49) Squaring both sides to remove the square root gives us: 49 = (x - 2)² + 49 0 = (x - 2)² x - 2 = 0 x = 2 This means that the point on the x-axis that is 7 units away from H is (2, 0), which is not an option given. Therefore, option A is incorrect.Check Option C: Now let's consider option B, which is the point (-5, -7). We will use the distance formula to check if it is 7 units away from point H. d = √((-5 - 2)² + (-7 - (-7))²) d = √((-7)² + 0²) d = √(49) d = 7 Since the distance is indeed 7, option B is correct.Finally, let's consider option C, which is the point (-7, 7). Again, we will use the distance formula to check if it is 7 units away from point H. d = √((-7 - 2)² + (7 - (-7))²) d = √((-9)² + (14)²) d = √(81 + 196) d = √(277) Since √277 is not equal to 7, option C is incorrect.

Point $H$ is located at $(2,-7)$ . $\newline$ Select all of the following that are $7$ units from point $H$ . $\newline$ Choose all answers that apply: $\newline$ (A) $x$ -axis $\newline$ (B) $(-5,-7)$ $\newline$ (C) $(-7,7)$

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Point H H H is located at (2,−7) (2,-7) (2,−7).\newlineSelect all of the following that are 777 units from point H H H.\newlineChoose all answers that apply:\newline(A) x x x-axis\newline(B) (−5,−7) (-5,-7) (−5,−7)\newline(C) (−7,7) (-7,7) (−7,7)

Point $H$ is located at $(2,-7)$ . $\newline$ Select all of the following that are $7$ units from point $H$ . $\newline$ Choose all answers that apply: $\newline$ (A) $x$ -axis $\newline$ (B) $(-5,-7)$ $\newline$ (C) $(-7,7)$