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guapka [62]
2 years ago
7

Please help i will give brainliest

Mathematics
2 answers:
ikadub [295]2 years ago
7 0

#9

\\ \tt\bull\rightarrowtail 3\sqrt{112}=3\sqrt{16(7)}=3(4)\sqrt{7}=12\sqrt{7}

  • The coefficient is 12

#10

\\ \tt\bull\rightarrowtail √175=\sqrt{25\times 7}=5\sqrt{7}

  • Radicand is 7
Arisa [49]2 years ago
4 0

Answer:

9)3  \sqrt{112}  \\  \\  = 3 \sqrt{4 \times 4 \times 7}  \\  \\  = 3 \times 4 \sqrt{7}  \\  \\  = 12 \sqrt{7}  \\  \\ 10) \sqrt{175}  \\  \\  =  \sqrt{5 \times 5 \times 7}  \\  \\  = 5 \sqrt{7}

# keep learning#

# Bora 7 #

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and

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\bf ~~~~~~~~~~~~\textit{distance between 2 points} \\\\ (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{3})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{length}{L}=\sqrt{[1-(-1)]^2+[3-(-3)]^2}\implies L=\sqrt{(1+1)^2+(3+3)^2} \\\\\\ L=\sqrt{4+36}\implies L=\sqrt{40} \\\\[-0.35em] ~\dotfill

\bf (\stackrel{x_1}{-1}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{-4}~,~\stackrel{y_2}{-2})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ \stackrel{width}{w}=\sqrt{[-4-(-1)]^2+[-2-(-3)]^2}\implies w=\sqrt{(-4+1)^2+(-2+3)^2} \\\\\\ w=\sqrt{9+1}\implies w=\sqrt{10} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{area of the rectangle}}{A=Lw}\implies \sqrt{40}\cdot \sqrt{10}\implies \sqrt{400}\implies \boxed{20}

7 0
2 years ago
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