Which expression gives the distance between the points (4, 6) and (7, -3)?

Mathematics

2 answers:

lawyer [12.5K]11 days ago

6 0

Answer:

The expression that calculates the distance between the points (4, 6) and (7, -3) is Option (C).

That is

$Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}$

Step-by-step explanation:

Formula

$Distance\ formula = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

Given the points are (4, 6) and (7, -3).

Substituting the points into the formula

$Distance\ formula = \sqrt{(4 -7)^{2} + (6- (-3))^{2}}$

$Distance\ formula = \sqrt{(7 - 4)^{2} + (6 +3)^{2}}$

$Distance\ formula = \sqrt{(3)^{2} + (9)^{2}}$

$Distance\ formula = \sqrt{9 + 81}$

$Distance\ formula = \sqrt{90}$

$\sqrt{90} = 9.5\ units\ (Approx)$

Distance formula = 9.5 Units (Approx)

Therefore Option (C) is accurate.

PIT_PIT [12.4K]11 days ago

6 0

The distance formula is
$\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$ . In the ordered pairs (4, 6), the first number 4 represents the x-coordinate while 6 is the y-coordinate. In (7, -3), 7 is the x-coordinate and -3 is the y-coordinate. Substituting these coordinates results in
$\sqrt{(4-7)^2+(6--3)^2}$ . Since subtracting a negative is equivalent to adding a positive, we now have

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