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ehidna [41]
3 years ago
13

(1−√(5))×(2−√(5))

9" id="TexFormula1" title="(1 + 4 \sqrt{10} )(2 - \sqrt{10} )" alt="(1 + 4 \sqrt{10} )(2 - \sqrt{10} )" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Leviafan [203]3 years ago
3 0
To simplify these expressions, you can either use a calculator (which I'm assuming your teacher doesn't want you to do) or FOIL (distribute).

The first one would be:

(1- \sqrt{5}) (2- \sqrt{5}) \newline =(1)(2)+(1)(- \sqrt{5} )+(- \sqrt{5})(2)+(- \sqrt{5})(- \sqrt{5}) \newline =2- \sqrt{5}-2 \sqrt{5}+5 \newline =7-3 \sqrt{5}

The second one would be:

(1+4 \sqrt{10})( 2- \sqrt{10}) \newline =(1)(2)+(1)(- \sqrt{10})+(4 \sqrt{10} )(2)  +(4 \sqrt{10})(- \sqrt{10}) \newline =2-\sqrt{10}+8 \sqrt{10} -40 \newline =-38+7 \sqrt{10}
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There i hope it help

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2 years ago
Which equation results from taking the square root of both sides of (x + 9)^2= 25?
MrRa [10]

Answer:

x=-4,-15

Step-by-step explanation:

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6 0
4 years ago
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Cual seria el pi(π)
GaryK [48]

Answer:

El área de superficie del cilindro es 6 · π cm², que es igual a 18.85 cm²

El volumen del cilindro es de 9 · π cm³, que es igual a 28.27 cm³

Step-by-step explanation:

Aquí tenemos

El área de superficie del cilindro = Perímetro de base × Altura

= π × D × h

Dónde:

D = diámetro de la base = 1.5 cm

h = Altura del cilindro = 4

∴ Área de superficie = π × 1.5 × 4 = 6 · π cm² = 18.85 cm²

Volumen del cilindro = Área de base × Altura = π · D² / 4 × h

= π × 1.5² / 4 × 4 = 9 · π cm³ = 28.27 cm³.

3 0
4 years ago
Which graph represents the following system of inequalities?<br> y&lt;1/4x+4<br> y ≥5x+1
Readme [11.4K]

Answer:

3rd

Step-by-step explanation:

6 0
3 years ago
the volume of a cylinder is 24 π cubic feet.what is the volume of a cone having the same base and same height?
dalvyx [7]

\bf \stackrel{\textit{volume of a cylinder}}{V=\pi r^2 h}~\hspace{7em}\stackrel{\textit{volume of a cone}}{V=\cfrac{\pi r^2 h}{3}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{volume of a cylinder}}{V=24\pi }~\hspace{7em}\stackrel{\textit{volume of a cone}}{V=\cfrac{24\pi }{3}}\implies V=8\pi


notice the volumes, the cone's volume is really one-third that of the cylinder, assuming "h"eight and "r"adius is the same on both.

7 0
4 years ago
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