Charlie used a regression calculator to generate the equation f(x) = –0.15x + 20.1 for the ordered pairs (2, 15), (4, 21), (6, 2
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Similar triangles may or may not have equal side lengths
Triangles ABC and DEF are similar by SSS theorem
<h3>How to determine the similarity statement</h3>The coordinates of the two triangles are:
A (0,0), B (4,0), C (0,2), D (0,0), E (2,0), and F (0,1)
Calculate the lengths of both triangles using the following distance formula
For triangle ABC, we have:
For triangle DEF, we have:
Divide corresponding sides of the triangles to calculate the scale factor k
This gives
Evaluate the quotients
Since the quotients are equal, then the triangles are similar
Hence, triangles ABC and DEF are similar by SSS theorem
Read more about similar triangles at:
The center of the circle is (h,k) = (-2,-3)
The radius of the circle is r = 2
The standard form of equation of the circle is
The general form of equation of the circle is
Here, (h,k) means centre of the circle.
r means radius of the circle.
given that coordinate points of centre of circle is (-2,-3).
Hence the (h,k) = (-2,-3)
<h3>How to find the radius of the circle?</h3>Now to find the radius of the circle
The distance from a circle's centre to its circumference is its radius.
The distance from a circle's centre (-2,-3) to its circumference (0,-3) is its radius.
using the formula, distance between the two points to obtain radius.
(h,k) = (-2,-3)
r = 2
subtitue the (h,k) and r values to get the standard form of equation of the circle.
Learn more about circle, refer:
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