2. What is the distance between points D(-10, 2) and E(6, 10)?A.16B. 20C. 10✓ 2D...

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franchan @franchan

October 2022 1 2 Report

2. What is the distance between points D(-10, 2) and E(6, 10)?
A.16
B. 20
C. 10✓ 2
D. 8✓5

Answers & Comments

Verified answer

Question:

What is the distance between points D (-10, 2) and E (6, 10)?

Given:

Point D (-10, 2)
Point E (6, 10)

Formula:

$\tt \Large \blue{d = \sqrt{(x_2 - x_1)² + (y_2 - y_1)²}}$

Solution:

$\tt \large d = \sqrt{(x_2 - x_1)² + (y_2 - y_1)²}$

$\tt \large d = \sqrt{(6 - (-10))² + (10 - 2)²}$

$\tt \large d = \sqrt{(16)² + (8)²}$

$\tt \large d = \sqrt{256 + 64}$

$\tt \large d = \sqrt{320}$

$\tt \large d = \sqrt{8^2 \times 5}$

$\tt \huge \green{d = 8 \sqrt{5}}$

Final Answer:

$\tt \Huge \: \green{D. \: \: 8 \sqrt{5}}$

franchan THANK YOU

BinibiningDel oy gising ka pa pala, tulog na, malapit na 1 am

ethansethbarbon hehe

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