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Mars2501 [29]
3 years ago
7

4x + 5y = 7 and 8x + 5y = 9 * Elimination

Mathematics
2 answers:
Luden [163]3 years ago
7 0

Answer:

Solve equation [2] for the variable y

[2] y = 8x + 7

// Plug this in for variable y in equation [1]

[1] 4x - 5•(8x+7) = -9

[1] -36x = 26

// Solve equation [1] for the variable x

[1] 36x = - 26

[1] x = - 13/18

// By now we know this much :

x = -13/18

y = 8x+7

// Use the x value to solve for y

y = 8(-13/18)+7 = 11/9

Solution :

{x,y} = {-13/18,11/9}

bazaltina [42]3 years ago
4 0
It should be y=2 after you eliminate
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ch4aika [34]

The answer is C. 8

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3 years ago
Please answer to receive ten points. I'll vote who answers first the brainliest if its correct. 
beks73 [17]

The distance between points P_1(x_1,y_1) and P_2(x_2,y_2) can be calculated using formula

P_1P_2=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}.

1.

AB=\sqrt{(-7-(-11))^2+(8-4)^2}=\sqrt{16+16}=\sqrt{32}=4\sqrt{2}\approx 5.657.

2.

AC=\sqrt{(-4-(-11))^2+(4-4)^2}=\sqrt{49+0}=\sqrt{49}=7.

3.

CB=\sqrt{(-7-(-4))^2+(8-4)^2}=\sqrt{9+16}=\sqrt{25}=5.

Then

P_{ABC}=5.657+7+5=17.657\approx 17.7

Answer: correct choice is C.

3 0
3 years ago
Lynn asked six friends how many cars their parents own. She recorded 1, 1, 2, 2, 2, and 4 cars.
Paladinen [302]

Answer:

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Step-by-step explanation:

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Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of and costs an additiona
11111nata11111 [884]

Complete question :

Tom will rent a car for the weekend. He can choose one of two plans. The first plan has an initial fee of $57.98 and costs an additional $0.14 per mile driven. The second plan has an initial fee of $53.98 and costs an additional $0.16 per mile driven. How many miles would Tom need to drive for the two plans to cost the same?

Answer:

200 miles

Step-by-step explanation:

Let miles driven = x

First option :

57.98 + 0.14x

Second option :

53.98 + 0.16x

First option = second option

57.98 + 0.14 = 53.98 + 0.16x

57.98 - 53.98 = 0.16x - 0.14x

4 = 0.02x

x = 200

200 miles

3 0
2 years ago
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