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victus00 [196]
3 years ago
7

How to graph a inequality

Mathematics
1 answer:
4vir4ik [10]3 years ago
8 0
Graph it like you would a normal equation except if it's not "equal to" it's a dashed line instead of solid line. Then shade the appropriate area on the graph,
for example..
y > 2x +1
is graphed as a dashed line y = 2x +1 since it doesn't actually equal y.
y is greater than the line/equation so the area above is shaded where y is bigger
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Find the area of the triangle ABC with the coordinates of A(10, 15) B(15, 15) C(30, 9).
lions [1.4K]

Check the picture below.  so, that'd be the triangle's sides hmmm so let's use Heron's Area formula for it.

~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ (\stackrel{x_1}{10}~,~\stackrel{y_1}{5})\qquad (\stackrel{x_2}{15}~,~\stackrel{y_2}{15}) ~\hfill a=\sqrt{[ 15- 10]^2 + [ 15- 5]^2} \\\\\\ ~\hfill \boxed{a=\sqrt{125}} \\\\\\ (\stackrel{x_1}{15}~,~\stackrel{y_1}{15})\qquad (\stackrel{x_2}{30}~,~\stackrel{y_2}{9}) ~\hfill b=\sqrt{[ 30- 15]^2 + [ 9- 15]^2} \\\\\\ ~\hfill \boxed{b=\sqrt{261}}

(\stackrel{x_1}{30}~,~\stackrel{y_1}{9})\qquad (\stackrel{x_2}{10}~,~\stackrel{y_2}{5}) ~\hfill c=\sqrt{[ 10- 30]^2 + [ 5- 9]^2} \\\\\\ ~\hfill \boxed{c=\sqrt{416}} \\\\[-0.35em] ~\dotfill

\qquad \textit{Heron's area formula} \\\\ A=\sqrt{s(s-a)(s-b)(s-c)}\qquad \begin{cases} s=\frac{a+b+c}{2}\\[-0.5em] \hrulefill\\ a=\sqrt{125}\\ b=\sqrt{261}\\ c=\sqrt{416}\\ s\approx 23.87 \end{cases} \\\\\\ A\approx\sqrt{23.87(23.87-\sqrt{125})(23.87-\sqrt{261})(23.87-\sqrt{416})}\implies \boxed{A\approx 90}

6 0
2 years ago
HELP!!! Need Help With Homework!
Airida [17]

Answer:

<1 and <2

<5 and<6

<4 and <2

3 0
3 years ago
You rearrange your bedroom. Tell whether each move is an example of
mash [69]

Answer:

translation,reflection,

Step-by-step explanation:

because you move thing in different direction

4 0
3 years ago
Rewarding BRAINLIEST DONT GET MAD IF I DONT DO IT RIGHT AWAY
Elodia [21]

Answer:

c

Step-by-step explanation:

Uh, you got it right.

8,2 and 8,7

The differnece between 7 and 2 is 5

6 0
3 years ago
Read 2 more answers
Please help me!!!!!!!!!!!!!!!!!!!!!!!!
romanna [79]

Answer:

a. 81.9

b. 144.7

c. 110.2

d. 48

Step-by-step explanation:

a. 120/109.2 = 90/x

x = 81.9

b. 45.6/120 = 55/x

x = 144.7

c. 304.8/96 = 350/x

x = 110.2

d. 109.2/45.6 = 115/x

x = 48

5 0
3 years ago
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