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3 years ago

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There are 491 people attending an ice hockey games that people are seated in sections with 30 seats in each section how many sec

tions are filled how many people are in the section that is not filled

1 answer:

bixtya [17]3 years ago

7 0

16 sections are filled. There are 11 people in the section that is not filled.

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5x – 19 <1<br> OR<br> - 4x + 3 < -6<br> Solve for x

astra-53 [7]

Answer:

x < 4

OR

x > - 2.25

= 4 > x > - 2.25

Step-by-step explanation:

5x - 19 < 1

5x < 1 + 19

5x < 20

x < 20/5

x < 4

OR

- 4x + 3 < - 6

- 4x < - 6 - 3

- 4x < - 9

x > 9/- 4

x > - 2.25

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3 years ago

Two lines that have the same slope do not intersect at any points

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3 years ago

Solve for x and show your work.<br> • GIVING BRAINLIEST!

Tema [17]

Tan 34 = 12/x and then uhm, put 12/tan34 into ur calculator

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3 years ago

What is the complex conjugate of 13-21i?

irga5000 [103]

Answer:

To find a complex conjugate, simply change the sign of the imaginary part (the part with the i). This means that it either goes from positive to negative or from negative to positive.

As a general rule, the complex conjugate of <span>a+bi</span> is <span>a−bi</span>.

Therefore, the complex conjugate of <span>3−2i</span> is <span>3+2i</span>.

Hope this helped!!... :D

Please correct me if I'm wrong!!.. :3

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3 years ago

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Given the circle with the equation (x + 1)2 + y2 = 36, determine the location of each point with respect to the graph of the cir

kati45 [8]

$\bf \textit{equation of a circle}\\\\ 
(x- h)^2+(y- k)^2= r^2
\qquad 
center~~(\stackrel{}{ h},\stackrel{}{ k})\qquad \qquad 
radius=\stackrel{}{ r}\\\\
-------------------------------\\\\
(x+1)^2+y^2=36\implies [x-(\stackrel{h}{-1})]^2+[y-\stackrel{k}{0}]^2=\stackrel{r}{6^2}~~~~
\begin{cases}
\stackrel{center}{(-1,0)}\\
\stackrel{radius}{6}
\end{cases}$

so, that's the equation of the circle, and that's its center, any point "ON" the circle, namely on its circumference, will have a distance to the center of 6 units, since that's the radius.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad 
A(\stackrel{x_2}{-1}~,~\stackrel{y_2}{1})\qquad \qquad 
% distance value
d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}
\\\\\\
\stackrel{distance}{d}=\sqrt{[-1-(-1)]^2+(1-0)^2}\implies d=\sqrt{(-1+1)^2+1^2}
\\\\\\
d=\sqrt{0+1}\implies d=1$

well, the distance from the center to A is 1, namely is "inside the circle".

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad 
B(\stackrel{x_2}{-1}~,~\stackrel{y_2}{6})\\\\\\
\stackrel{distance}{d}=\sqrt{[-1-(-1)]^2+(6-0)^2}\implies d=\sqrt{(-1+1)^2+6^2}
\\\\\\
d=\sqrt{0+36}\implies d=6$

notice, the distance to B is exactly 6, and you know what that means.

$\bf ~~~~~~~~~~~~\textit{distance between 2 points}
\\\\
(\stackrel{x_1}{-1}~,~\stackrel{y_1}{0})\qquad 
C(\stackrel{x_2}{4}~,~\stackrel{y_2}{-8})
\\\\\\
\stackrel{distance}{d}=\sqrt{[4-(-1)]^2+[-8-0]^2}\implies d=\sqrt{(4+1)^2+(-8)^2}
\\\\\\
d=\sqrt{25+64}\implies d=\sqrt{89}\implies d\approx 9.43398$

notice, C is farther than the radius 6, meaning is outside the circle, hiking about on the plane.

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3 years ago

Read 2 more answers