Which of these points are sqrt 80 units away from (1,4)? Select all that apply. Multi-select Choices: (A)(-3,-4) (B)(9,7) (C)(-7,0) (D)(5,-3)

Calculate distance formula: Calculate the distance from (1,4) to each point using the distance formula: distance = sqrt((x2 - x1)^2 + (y2 - y1)^2). Check point A distance: Check if sqrt(80) matches the required distance for point A. Calculate distance to point B: Calculate the distance to point B (9,7). Check point B distance: Check if sqrt(73) matches the required distance for point B. Calculate distance to point C: Calculate the distance to point C (-7,0). Check point C distance: Check if sqrt(80) matches the required distance for point C. Calculate distance to point D: Calculate the distance to point D (5,-3). Check point D distance: Check if sqrt(65) matches the required distance for point D.

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Which of these points are $\sqrt{80}$ units away from $(1,4)$ ? Select all that apply. $\newline$ Multi-select Choices: $\newline$ (A) $(-3,-4)$ $\newline$ (B) $(9,7)$ $\newline$ (C) $(-7,0)$ $\newline$ (D) $(5,-3)$

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Math Problems

Grade 7

Estimate square roots

Full solution

Q. Which of these points are

\sqrt{80}

units away from

(1,4)

? Select all that apply.

\newline

Multi-select Choices:

\newline

(A)

(-3,-4)

\newline

(B)

(9,7)

\newline

(C)

(-7,0)

\newline

(D)

(5,-3)

Calculate distance formula: Calculate the distance from $(1,4)$ to each point using the distance formula: $\text{distance} = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ .
Check point A distance: Check if $\sqrt{80}$ matches the required distance for point A.
Calculate distance to point B: Calculate the distance to point B $(9,7)$ .
Check point B distance: Check if $\sqrt{73}$ matches the required distance for point B.
Calculate distance to point C: Calculate the distance to point C $(-7,0)$ .
Check point C distance: Check if $\sqrt{80}$ matches the required distance for point C.
Calculate distance to point D: Calculate the distance to point D $(5,-3)$ .
Check point D distance: Check if $\sqrt{65}$ matches the required distance for point D.