3 years ago

How does a 180 degree rotation about the origin change the coordinates of a shape

Mathematics

1 answer:

notsponge [240]3 years ago

6 0

Answer:

According to the 180°-rotation rule, you take the OPPOSITE of both the x-coordinate and y-coordinate:

180°: [x, y] → [-x, -y]

I am joyous to assist you anytime.

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What's 5 - the square root of x + 10 = the square root of 7 - x

Tcecarenko [31]

$\bf 5-\sqrt{x+10}=\sqrt{7-x}\impliedby \textit{squaring both sides}
\\\\\\
(5-\sqrt{x+10})^2=(\sqrt{7-x})^2
\\\\\\
(5^2)-10\sqrt{x+10}+(x+10)=7-x
\\\\\\
35-10\sqrt{x+10}+x=7-x\implies 28-10\sqrt{x+10}+2x=0
\\\\\\
2x+28=10\sqrt{x+10}\implies x+14=5\sqrt{x+10}\impliedby 
\begin{array}{llll}
squaring\ both\\
sides\ again
\end{array}
\\\\\\
$

$\bf (x^2)+28x+(14^2)=5^2(x+10)\implies x^2+28x+196=25x+250
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\begin{array}{lcclll}
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3 0

3 years ago

3/4x + 17 = 23 what does x equal

stepladder [879]

3/4x+17=23
-17 -17
3/4x=6
/ 3/4 / 3/4
x=8
I hope I helped! ♥

6 0

3 years ago

Read 2 more answers

Calculate the slope of the line.

Zanzabum

Answer:

Slope is -2/5