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gogolik [260]
3 years ago
12

50.416-4.25 I need to show my work

Mathematics
1 answer:
tigry1 [53]3 years ago
4 0
This is 46,166
Hope i helped u
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Okay, I will go check it out!

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Leviafan [203]

Step-by-step explanation:

\triangle ABC \sim \triangle ADE... (given) \\\\\therefore \frac {AC}{AE} = \frac {BC}{DE}.. (csst) \\\\\therefore \frac {5}{5+2x} = \frac {x+3}{4x+1}\\ \\ \therefore \: 5(4x + 1) = (5 + 2x)(x + 3) \\ \therefore \:20x + 5 = 5x + 15 + 2 {x}^{2}  + 6x \\ \therefore \:20x + 5 =2 {x}^{2} +  11x + 15 \\ \therefore \:2 {x}^{2} +  11x + 15 -2 0x  - 5 = 0\\  \therefore \:2 {x}^{2}  - 9x + 10 = 0\\ \therefore \:2 {x}^{2}  - 5x   -  4x+ 10 = 0\\ \therefore \:x(2x - 5) - 2(2x - 5) = 0 \\ \therefore \:(2x - 5)(x - 2) = 0 \\ 2x - 5 = 0  \:  \: or \:  \: x - 2 = 0 \\ x =  \frac{5}{2} \:  \:  or \:  \: x = 2 \\ x = 2.5 \:  \: or \: x = 2 \\ x = 2.5 \: is \: largest \\  \\  \frac{A(\triangle ABC)}{ A(\triangle ADE)} =  \frac{AC ^{2} } {AE^{2} } \\  \\ \frac{A(\triangle ABC)}{ A(\triangle ADE)} =  \frac{5 ^{2} } {(5 + 2x)^{2} } \\  =  \frac{25}{(5 + 2 \times 2.5)^{2} }  \\  =  \frac{25}{ {10}^{2} }  \\  =  \frac{25}{100}  \\  \\  \frac{A(\triangle ABC)}{ A(\triangle ADE)} =  \frac{1}{4}  \\

5 0
4 years ago
There *must* be an easier way of simplifying this expression. What could I have done differently?
LiRa [457]
You can add the exponents of x^3*x^4 instead of writing it all out. Do you would just have to add 3+4 since the variable (x) is the same. And you would get x^7
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4 years ago
How do I do this<br> Question please help
Firdavs [7]

4 - c =  -  \frac{1}{3}  \\ c = 4 +  \frac{1}{3}  =  \frac{13}{3}
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