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2 years ago

Use the elimination method to solve the system of equations. Choose the

Mathematics

1 answer:

Yakvenalex [24]2 years ago

5 0

Answer:

(2, 7) is the correct ordered pair.

Step-by-step explanation:

5x + 3y = 31

2x + 3y = 25 Subtract to eliminate the y variable:

3x = 6

x = 6/3

x = 2.

Substitute x = 2 in the first equation:

5*2 + 3y = 31

3y = 31-10 = 21

y = 21/3

y = 7.

Check the result by substituting for x and y in the second equation:

2(2) + 3(7) = 25

4 + 21 = 25

25 = 25.

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You have 220 meters of fencing to create a rectangular field. What should the dimensions of the field be in order for the area t

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2 years ago

Find the length of the third side. If necessary, round to the nearest tenth

Lilit [14]

$\huge\bold{Given:}$

Length of the base = 8

Length of the hypotenuse = 17

$\huge\bold{To\:find:}$

The length of the third side '' $x$ ".

$\large\mathfrak{{\pmb{\underline{\orange{Solution}}{\orange{:}}}}}$

$\longrightarrow{\purple{x\:=\: 15}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

Using Pythagoras theorem, we have

(Perpendicular)² + (Base)² = (Hypotenuse)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + (8)² = (17)²

$\longrightarrow{\blue{}}$ ${x}^{2}$ + 64 = 289

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 289 - 64

$\longrightarrow{\blue{}}$ ${x}^{2}$ = 225

$\longrightarrow{\blue{}}$ $x$ = $\sqrt{225}$

$\longrightarrow{\blue{}}$ $x$ = $15$

Therefore, the length of the missing side $x$ is $15$ .

$\huge\bold{To\:verify :}$

$\longrightarrow{\green{}}$ (15)² + (8)² = (17)²

$\longrightarrow{\green{}}$ 225 + 64 = 289

$\longrightarrow{\green{}}$ 289 = 289

$\longrightarrow{\green{}}$ L.H.S. = R. H. S.

Hence verified.

$\huge{\textbf{\textsf{{\orange{My}}{\blue{st}}{\pink{iq}}{\purple{ue}}{\red{35}}{\green{♨}}}}}$

3 0

2 years ago

What was 42/3as a mixed number

stiks02 [169]

This fraction cannot be changed to a mixed number because 3 can divide 42 to give 14. Hope i helped. Have a nice day.

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3 years ago

Read 2 more answers

In a survey, 36% of the students said that they kept an electronic diary. There were 900 students who kept an electronic diary.

Rasek [7]

The answer is 25000.

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2 years ago

At a restaurant a meal used to cost $9, but a new owner decided to raise the price by 13

kari74 [83]

Answer:

$10.17

Step-by-step explanation:

9 x .13 = 1.17

9 + 1.17 = 10.17

6 0

1 year ago