Point J is located at (-4,4). Select all of the following that are 4 units from point J. Choose all answers that apply: A x-axis B (-4,8) c y-axis

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Point  J is located at  (-4,4). Select all of the following that are 4 units from point  J. Choose all answers that apply: A  x-axis B  (-4,8) c  y-axis

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Distance Formula Application: To determine which options are 4 units away from point J, we need to consider the distance formula in a 2D coordinate system, which is d = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) is the original point and (x2, y2) is the point we're measuring the distance to. We will apply this formula to each option to see if the distance is 4 units.Option A Calculation: For option A (x-axis), we need to find a point on the x-axis that is 4 units away from J. Since J is at (-4,4), a point on the x-axis that is 4 units away would have to be at (-4,0) because the y-coordinate would be 0 (on the x-axis) and 4 units away in the y-direction. Let's calculate the distance: d = sqrt((-4 - (-4))^2 + (0 - 4)^2) d = sqrt((0)^2 + (-4)^2) d = sqrt(0 + 16) d = sqrt(16) d = 4 The x-axis is indeed 4 units away from point J at the specific point (-4,0).Option B Calculation: For option B (-4,8), we will use the distance formula to find the distance from J to this point: d = sqrt((-4 - (-4))^2 + (8 - 4)^2) d = sqrt((0)^2 + (4)^2) d = sqrt(0 + 16) d = sqrt(16) d = 4 The point (-4,8) is also 4 units away from point J.Option C Calculation: For option C (y-axis), we need to find a point on the y-axis that is 4 units away from J. Since J is at (-4,4), a point on the y-axis that is 4 units away would have to be at (0,4) because the x-coordinate would be 0 (on the y-axis) and it would not be 4 units away in either direction since the y-coordinate is the same as J's. Therefore, the y-axis is not 4 units away from point J at any specific point.

Point $J$ is located at $(-4,4)$ . $\newline$ Select all of the following that are $4$ units from point $J$ . $\newline$ Choose all answers that apply: $\newline$ (A) $x$ -axis $\newline$ (B) $(-4,8)$ $\newline$ (C) $y$ -axis

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Point J J J is located at (−4,4) (-4,4) (−4,4).\newlineSelect all of the following that are 444 units from point J J J.\newlineChoose all answers that apply:\newline(A) x x x-axis\newline(B) (−4,8) (-4,8) (−4,8)\newline(C) y y y-axis

Point $J$ is located at $(-4,4)$ . $\newline$ Select all of the following that are $4$ units from point $J$ . $\newline$ Choose all answers that apply: $\newline$ (A) $x$ -axis $\newline$ (B) $(-4,8)$ $\newline$ (C) $y$ -axis