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Darina [25.2K]
2 years ago
10

By using determinant method solve following questions 3x+4y+5z=18. 2x-y-8z=13. 5x-2y+7z=20​

Mathematics
2 answers:
Sauron [17]2 years ago
8 0

Answer:

Copied text is stored in the clipboard for 1 hour.

Pavel [41]2 years ago
5 0
3x+4y+5z=18,2x−y+8z=13,5x−2y+7z=20 D= ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−7+16)−4(14−40)+5(−4+5) =3(9)−4(−26)+5(1)=27+104+5=136 D 1 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 18 13 20 4 −1 −2 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =18(−7+16)−4(91−160)+5(−26+20) =18(9)−4(−69)+5(−6)=162+276−30=408 D 2 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 18 13 20 5 8 7 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(91−160)−18(14−40)+5(40−65) =3(−69)−18(−26)+5(−25)=−207+468−125=136 D 3 = ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ 3 2 5 4 −1 −2 18 13 20 ∣ ∣ ∣ ∣ ∣ ∣ ∣ ∣ =3(−20+26)−4(40−65)+18(−4+5) =3(6)−4(−25)+18(1)=18+100+18=136 Now, x= D D 1 = 136 408 =3 y= D D 2 = 136 136 =1 z= D D 3 = 136 136 =1 Hence, the solution for the system is (3,1,1).
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The length of a rectangle is 7 more than the width the area is 744 square centimeters find length and width of rectangle
andrezito [222]

Answer:

l=31\ cm\\\\w=24\ cm

Step-by-step explanation:

The formula that is used to calculate the area of a rectangle is:

A=lw

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And, according to the exercise, its lenght is 7 more than its width; then:

l=w+7

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744=w^2+7w\\\\w^2+7w-744=0

Factor the equation. Find two numbers whose sum is 7 and whose product is -744. These are 31 and -24.

Then, you get:

(w-24)(w+31)=0\\\\w_1=24\\\\w_2=-31

The width of the rectangle is the positive value:

w=24\ cm

Then, the lenght is:

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If Sarah has 50 Nickles and 20 dimes and Bill has 230 pennies and 5 quarters. Who has the more amount of money?
ser-zykov [4K]

Hi,

Your Question states: If Sarah has 50 Nickles and 20 dimes and Bill has 230 pennies and 5 quarters. Who has the more amount of money?

Answer: Sarah

Explanation: Sarah amount is $2.50, because the amount of nickels is 5 cents and if you multiply 5 times 50 you answer becomes $2.50. 20 dimes and every dime is 10 multiples up to $2.00. 230 is $2.30, and 5 quarters each being 25 cents is $1.25 so your answer is Sarah with 50 nickels.

I Hope I Helped!

<em>~KingJupiter</em>

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