Question

Find the value(s) of x such that the distance between the points is 5. (5, 1), (x, -3) STEP 1: Substitute values into the distance formula. d = ?((x - ?)² + (? - 1)²) = 5 STEP 2: Expand under the radical. ?(?) = 5 STEP 3: Square both sides of the equation. ? = 25 STEP 4: Place all terms on one side of the equation. ? = 0 STEP 5: Factor the equation. ? = 0 STEP 6: Solve for x. (Enter your answers as a comma-separated list.) x = ?

          Find the value(s) of x such that the distance between the points is 5.
(5, 1), (x, -3)
STEP 1: Substitute values into the distance formula.
d = ?((x - ?)² + (? - 1)²) = 5
STEP 2: Expand under the radical.
?(?) = 5
STEP 3: Square both sides of the equation.
? = 25
STEP 4: Place all terms on one side of the equation.
? = 0
STEP 5: Factor the equation.
? = 0
STEP 6: Solve for x. (Enter your answers as a comma-separated list.)
x = ?

Find the value(s) of x such that the distance between the points is 5.
(5, 1), (x, -3)
STEP 1: Substitute values into the distance formula.
d = ?((x - ?)² + (? - 1)²) = 5
STEP 2: Expand under the radical.
?(?) = 5
STEP 3: Square both sides of the equation.
? = 25
STEP 4: Place all terms on one side of the equation.
? = 0
STEP 5: Factor the equation.
? = 0
STEP 6: Solve for x. (Enter your answers as a comma-separated list.)
x = ?

Added by Michael B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Supreeta N

06/17/2023

Step 1

The distance formula is given by: $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ Here, $(x_1, y_1) = (5, 1)$ and $(x_2, y_2) = (x, -3)$. We are given that the distance $d = 5$. Now, substitute the values into the distance formula: $5 = \sqrt{(x - 5)^2 + (-3 - Show more…

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Find the value(s) of x such that the distance between the points is 5. (5, 1), (x, -3) STEP 1: Substitute values into the distance formula. STEP 2: Expand under the radical. STEP 3: Square both sides of the equation. STEP 4: Place all terms on one side of the equation. STEP 5: Factor the equation. STEP 6: Solve for x. (Enter your answers as a comma-separated list.)