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

Calculate distance formula: Calculate the distance from each point to (1,4) using the distance formula: Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2), where (x1, y1) = (1, 4) and (x2, y2) are the coordinates of each point. Compare calculated distances: Compare each calculated distance to sqrt(80) to determine which points are exactly sqrt(80) units away.

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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) $(5,-3)$ $\newline$ (C) $(9,7)$ $\newline$ (D) $(-7,0)$

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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)

(5,-3)

\newline

(C)

(9,7)

\newline

(D)

(-7,0)

Calculate distance formula: Calculate the distance from each point to $(1,4)$ using the distance formula: $\text{Distance} = \sqrt{((x_2 - x_1)^2 + (y_2 - y_1)^2)}$ , where $(x_1, y_1) = (1, 4)$ and $(x_2, y_2)$ are the coordinates of each point.
Compare calculated distances: Compare each calculated distance to $\sqrt{80}$ to determine which points are exactly $\sqrt{80}$ units away.