Mathematics: Acity map is placed on a coordinate grid. the post office is located at the point p ( 5, 35) , the library is located at the point l (15, 10) , and the fire station is located at the point f  (9, 25) . what is the ratio of the length of pf to the length of lf ? a 2 : 3 b 3 : 2 c 2 : 5 d 3 : 5

Acity map is placed on a coordinate grid. the - id1934017, michellemonchez103

Ответ:

Brittany0512

31.12.2021

The distance between two points:
$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$
(x₁,y₁), (x₂,y₂) - the coordinates of the points

$P(5,35) \\
L(15,10) \\
F(9,25) \\ \\
\overline{PF} = \sqrt{(9-5)^2+(25-35)^2}=\sqrt{4^2+(-10)^2}=\sqrt{16+100}= \\
=\sqrt{116}=\sqrt{4 \times 29}=2\sqrt{29} \\ \\
\overline{LF}=\sqrt{(9-15)^2+(25-10)^2}=\sqrt{(-6)^2+15^2}=\sqrt{36+225}= \\
=\sqrt{261}=\sqrt{9 \times 29}=3\sqrt{29} \\ \\
\frac{\overline{PF}}{\overline{LF}}=\frac{2\sqrt{29}}{3\sqrt{29}}=\frac{2}{3}=2:3$

The answer is A.

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Neko1kat

03.03.2022

Mathematics

answer:

The Tobacco Colonies

Explanation:

The first English settlement in North America had actually been established some 20 years before, in 1587, when a group of colonists (91 men, 17 women and nine children) led by Sir Walter Raleigh settled on the island of Roanoke.

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