Mathematics: 1. Find the distance between A (-6, -5) and B (2.0) 9.13 9.43 9.03 9.0

1. Find the distance between A (-6, -5) and B (2.0)

swelch2010

31.01.2022

Step-by-step explanation:

To find the distance between any two points, we can use the distance formula.

The distance formula is:

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

Let's let (-6,-5) be x₁ and y₁ and let (2,0) be x₂ and y₂. Therefore:

$d=\sqrt{(2--6)^2+(0--5)^2}$

Simplify:

$d=\sqrt{(8^2)+(5)^2$

Square and add:

$d=\sqrt{64+25}\\d=\sqrt{89}$

Use a calculator:

$d\approx9.4340$

Our answer is B :)

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mohd591

21.09.2020

The correct option is ΔABC ≅ ΔFED by SAS

Step-by-step explanation:

Looking at the given diagram,

Side AC = Side DF = 3.2

Side AB = Side FE = 4 units

Angle A = angle F = 72 degrees

Since two sides and one angle are equal, then triangle FED = triangle ABC by SAS(side angle side)

This makes the ratios possible

AB/FE = AC/DF

The HL given means hypotenuse leg. It will not hold because the triangles are not right angle triangles.

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