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GenaCL600 [577]
3 years ago
8

Write the equation of a circle with a center at (1, 4) where a point on the circle is (4, 8).

Mathematics
1 answer:
mina [271]3 years ago
5 0
Notice the picture below

\bf \textit{equation of a circle}\\\\
(x-{{ h}})^2+(y-{{ k}})^2={{ r}}^2
\qquad center\ ({{ h}},{{ k}})\qquad
radius={{ r}}\\\\
-----------------------------\\\\
\textit{distance between 2 points}\\ \quad \\
\begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
%  (a,b)
&({{ 1}}\quad ,&{{ 4}})\quad 
%  (c,d)
&({{ 4}}\quad ,&{{ 8}})
\end{array}\qquad 
%  distance value
d = \sqrt{({{ x_2}}-{{ x_1}})^2 + ({{ y_2}}-{{ y_1}})^2}\leftarrow r

you have the center, the h,k, all  you really need is the radius "r"


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ollegr [7]
\left \{ {{x - y = 1.50} \atop {40x + 40y = 940}} \right.  
 \\ \\
*x - y = 1.50

x = 1.50 + y

*40x + 40y = 940
40 (1.50 + y) + 40y = 940
60 + 40y +40y = 940
60 + 80y = 940
80y = 940 - 60
80y = 880
y = 880/80
y = 11

*
x - y = 1.50
x - 11 = 1.50
x = 1.50 + 11
x = 12.5

x=DAVID
Y=PETER
5 0
3 years ago
The constant of proportionality between the number of animals(a) at a zoo and the number of employees(e) that work there is 9/2.
belka [17]

Step-by-step explanation:

i think the answer is 1/9

5 0
4 years ago
How do you know when a term is defined or undefined
lord [1]
In geometry, definitions are formed using known words or terms to describe a new word. There are three words in geometry that are not formally defined. These three undefined terms are point, line and plane. 

<span>POINT (an undefined term) </span>
<span>In geometry, a point has no dimension (actual size). Even though we represent a point with a dot, the point has no length, width, or thickness. A point is usually named with a capital letter. In the coordinate plane, a point is named by an ordered pair, (x,y). </span>

<span>LINE (an undefined term) </span>
<span>In geometry, a line has no thickness but its length extends in one dimension and goes on forever in both directions. A line is depicted to be a straight line with two arrowheads indicating that the line extends without end in two directions. A line is named by a single lowercase written letter or by two points on the line with an arrow drawn above them. </span>

<span>PLANE (an undefined term) </span>
<span>In geometry, a plane has no thickness but extends indefinitely in all directions. Planes are usually represented by a shape that looks like a tabletop or wall. Even though the diagram of a plane has edges, you must remember that the plane has no boundaries. A plane is named by a single letter (plane m) or by three non-collinear points (plane ABC). </span>

<span>Undefined terms can be combined to define other terms. Noncollinear points, for example, are points that do not lie on the same line. A line segment is the portion of a line that includes two particular points and all points that lie between them, while a ray is the portion of a line that includes a particular point, called the end point, and all points extending infinitely to one side of the end point. </span>

<span>Defined terms can be combined with each other and with undefined terms to define still more terms. An angle, for example, is a combination of two different rays or line segments that share a single end point. Similarly, a triangle is composed of three noncollinear points and the line segments that lie between them. </span>

<span>Everything else builds on these and adds more information to this base. Those added things include all the theorems and other "defined" terms like parallelogram or acute angle. </span>
5 0
3 years ago
The ratio of two complementary angles is 4:1. Find the measure of both angles.
zmey [24]

Answer:

72 : 18

Step-by-step explanation:

The ratio of the two complementary angles is 4 : 1

4x + 1x = 90

5x = 90

x =18

4x = 4(18) = 72

x = 18

Therefore the ratio is 72 : 18

Answer: 72 : 18

 

8 0
3 years ago
Read 2 more answers
The graph shown represents the funds in Sasha's checking account for 16 days
Galina-37 [17]
The answer is C since there is no increase or decrease in money.
8 0
3 years ago
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