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timurjin [86]
3 years ago
14

Solve the following system of equations for all three variables/Solve for X, Y and Z

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

Answer:

- x + 5y - 10z =  - 8 \\ 2x - y + 10z = 6 \\ \\ add \: (1) \: and \: (2)  \\  x + 4y =  - 2 \: (4) \\ add \: (2) \: and \: (3)  \\ 2x - y + 10z = 6 \\  - 7x - 3y - 10z = 4 \\  - 5x - 4y = 10 \: (5) \\ add \: (4) \: and \: (5) \\  - 4x = 8 \\  \therefore \: x =  - 2 \\ sub \: x \: in \: (4)\\ \:  - 2 + 4y =  - 2 \\ \therefore \: y = 0 \\ sub \: x \: and \: y \: in \: (3) \\ 2( - 2) - (0) + 10z = 6 \\  \therefore \: z = 1

You may also use matrices to solve this problem that would be much faster...

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Find an equation for the line with slope m= -2/3
sashaice [31]

Answer:  

y = -2/3x + 18

Step-by-step explanation:

to find the y intercept you should input the points 15,8

sooo

8 = -2/3(15) + b

8 = -10 + b

b = 18

3 0
3 years ago
I need help asap!!!!!
Sladkaya [172]

The surface area of the trash can = 25.12 ft²

Solution:

The given image is splitted into two shapes.

One is Cylinder and the other is hemisphere.

Radius of the cylinder = 2 ÷ 2 = 1 ft

Height of the cylinder = 4 – 1 = 3 ft

Curved surface area of the cylinder = 2\pi rh

                                                            =2\times 3.14 \times 1 \times 3

                                                            = 18.84 ft²

Curved surface area of the cylinder = 18.84 ft²

Curved surface area of the hemisphere = 2 \pi r^2

                                                                  = 2\times 3.14 \times 1^2

                                                                  = 6.28  ft²

Curved surface area of the hemisphere = 6.28  ft²

Surface area of the trash = CSA of cylinder + CSA of hemisphere

                                           = 18.84 ft² + 6.28 ft²

                                           = 25.12 ft²

The surface area of the trash can = 25.12 ft²

6 0
4 years ago
Cate and Elena were playing a card game. The stack of cards in the
Colt1911 [192]

Answer:

11

Step-by-step explanation:

So you first start off with 24, then you add 8 cards and take away 12 + 9 cards, making the equation:

24 + 8 - (12 + 9)

= 32 - 21

= 11

3 0
3 years ago
The cities Youngstown, Prairieville; and Dorchester, in respective order, lie approximately in a straight line. The distance fro
kobusy [5.1K]
213 - 102 = 111 miles from Praireville to Dorchester
7 0
3 years ago
It is a hot day at the beach. Ice water costs $1 per bottle and this is your only option. Your marginal benefit for water follow
Trava [24]

Answer:

9 bottles of water

Step-by-step explanation:

Marginal benefit is a microeconomic concept that explains how much the consumer adds satisfaction to each unit consumed of a given product. Usually, the marginal benefit is decreasing, which makes logical sense, the more a customer consumes a particular good, the smaller the benefit of the next unit.

At first, the first bottle of water has a high benefit as mentioned in the exercise:  9

In the second, you are a little less thirsty, so the benefit will be 10 - 1x2 = $8

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In the tenth bottle there is no benefit, the consumer is indifferent. As a rational consumer, you will buy until the bottle is still usable, even if minimal, for 9 bottles when your benefit is $1.

5 0
3 years ago
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