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Math  /  Geometry

Question[5]) Find the distance between the points (8,−5)(8,-5) and (8,10)(8,10). [x].] Round decimals to the nearest tenth. 㷇 □\square units

Studdy Solution

STEP 1

1. The points given are in a two-dimensional Cartesian coordinate system.
2. The distance between two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) can be calculated using the distance formula.
3. The final answer should be rounded to the nearest tenth.

STEP 2

1. Recall the distance formula for two points.
2. Substitute the given coordinates into the formula.
3. Calculate the distance.
4. Round the result to the nearest tenth.

STEP 3

Recall the distance formula for two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2):
d=(x2−x1)2+(y2−y1)2 d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}

STEP 4

Substitute the given coordinates (8,−5)(8, -5) and (8,10)(8, 10) into the formula:
d=(8−8)2+(10−(−5))2 d = \sqrt{(8 - 8)^2 + (10 - (-5))^2}

STEP 5

Calculate the distance:
d=(0)2+(10+5)2 d = \sqrt{(0)^2 + (10 + 5)^2} d=0+152 d = \sqrt{0 + 15^2} d=225 d = \sqrt{225} d=15 d = 15

STEP 6

Round the result to the nearest tenth. Since 1515 is already an integer, it remains 15.015.0 when expressed to the nearest tenth.
The distance between the points is:
15.0 units \boxed{15.0} \text{ units}

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