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3 years ago

What is the pattern in this sequence?

Mathematics

2 answers:

Sladkaya [172]3 years ago

5 0

Answer in #1 it ads up by 8

malfutka [58]3 years ago

5 0

Number 1 is Add by 8

& I'm not sure about number 2

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Write an equation for the circle with endpoints of a diameter (9, 4) and (-3, -2)

inysia [295]

If the diameter is at (9,4) and (-3,-2), then the center of the circle is the midpoint of that segment.

and since we know that the radius of a circle is half of the diameter, whatever long that diameter segment is, the radius is half that.

$\bf ~~~~~~~~~~~~\textit{middle point of 2 points }
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}\qquad
% coordinates of midpoint 
\left(\cfrac{ x_2 + x_1}{2}\quad ,\quad \cfrac{ y_2 + y_1}{2} \right)
\\\\\\
\left( \cfrac{-3+9}{2}~~,~~\cfrac{-2+4}{2} \right)\implies \stackrel{center}{(3~,~1)}$

$\bf -------------------------------\\\\
~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
\begin{array}{ccccccccc}
&&x_1&&y_1&&x_2&&y_2\\
% (a,b)
&&(~ 9 &,& 4~) 
% (c,d)
&&(~ -3 &,& -2~)
\end{array}
\\\\\\
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
d=\sqrt{(-3-9)^2+(-2-4)^2}\implies d=\sqrt{(-12)^2+(-6)^2}
\\\\\\
d=\sqrt{180}\qquad \qquad \qquad radius=\cfrac{\sqrt{180}}{2}$

$\bf -------------------------------\\\\
\textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{3}{ h},\stackrel{1}{ k})\qquad \qquad 
radius=\stackrel{\frac{\sqrt{180}}{2}}{ r}
\\\\\\
(x-3)^2+(y-1)^2=\left( \frac{\sqrt{180}}{2} \right)^2\implies (x-3)^2+(y-1)^2=\cfrac{(\sqrt{180})^2}{2^2}
\\\\\\
(x-3)^2+(y-1)^2=\cfrac{180}{4}\implies (x-3)^2+(y-1)^2=45$

7 0

3 years ago

What are the properties of real numbers?

expeople1 [14]

Https://mathbitsnotebook.com/Algebra1/RealNumbers/RNProp.html

3 0

3 years ago

Solve the inequality 2c/3+1>7

beks73 [17]

Answer:

c > 9

Step-by-step explanation:

(2c/3) + 1 > 7 subtract 1 from both sides

2c/3 > 7 -1

2c/3 > 6 (multiply both sides by 3)

2c > 6(3)

2c>18 (divide both sides by 2)

c > 18 / 2

c > 9

6 0

3 years ago

You have 84 feet of streamers. You cut 24 pieces that are each 1/2 yard long. How many feet of streamers do you have left?

Aleonysh [2.5K]

Answer:

Step-by-step explanation:

4 0

3 years ago

I really need help, fast. Please?

torisob [31]

The slope of the line as shown in the graph attached is 7/3

<h3>What is an equation?</h3>

An equation is an expression that shows the relationship between two or more numbers and variables.

A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.

A linear equation is in the form:

y = mx + b

Where m is the rate of change (slope) and b is the y intercept.

The slope of a line = vertical rise / horizontal run

From the image:

Slope = rise / run = 7/3

Find out more on equation at: brainly.com/question/2972832

#SPJ1

3 0

1 year ago