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kkurt [141]
3 years ago
10

Use row operations to solve the system.

Mathematics
1 answer:
Aleks04 [339]3 years ago
3 0

Answer:

x = 2, y = 7, z = 12

Step-by-step explanation:

x + y - z = -3 (1)

3x - y + z = 11 (2)

x - 4y + z = -14 (3)

add (1) and (2)

4x = 8 x = 2

add (1) and (3)

2x - 3y = -17

2(2) - 3y = -17

-3y = -17 - 4

-3y = -21

y = 7

Find z using any equation

x + y - z = -3

2 + 7 - z = -3

9 - z = -3

z = 12

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Select the correct answer. Select the place where the digit 5 sits in this number. 952,832,744 A. hundred millions B. one billio
k0ka [10]

Count the amount of digits from right to left:

The digit 5 appears at the eighth position.

Remember that the 7th position is for millions. So, the eighth position is for ten millions.

Therefore, the place where the digit 5 sits in the number 952,832,744 is ten millions.

4 0
1 year ago
Solve the problem:
stepan [7]

volume of the box is 675 cubic inches

A machine produces open boxes using square sheets of plastic.

It is a square sheet so length and width are same

Lets assume length as x so width is also x

The machine cuts equal-sized squares measuring 3 inches on a side from each corner of the sheet.

After turning up the sides the height of the box becomes 3 inches

We know the volume of a box formula

Volume = Length * width * height

We know length is  x , width is x  and height = 3

So V = x * x * 3

Given volume = 675 cubic inches

675 = x * x * 3

675 = x^2* 3

Divide by 3 on both sides

225 = x^2

Now we take square root on both sides

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5 0
3 years ago
In the figure, OA is a diameter of the smaller circle and O is the centre of the larger circle. Find the
Burka [1]

Answer:

942 6/7 cm²

Step-by-step explanation:

Since O = Center of bigger circle, OA = Radius of bigger circle.

∴ Area of smaller circle - Area of bigger circle = Area of shaded part.

∴ Area of smaller circle = 22/7 × 10²

                                       = 22/7 × 100

                                       = 2200/7

                                       = 314 2/7 cm²

∴ Area of bigger circle = 22/7 × 20 ²

                                      = 22/7 × 400

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∴ Area of shaded part = 1257 1/7 - 314 2/7

                                     =  942 6/7 cm²

5 0
3 years ago
What are the coordinates of pont P on the coordinate grid below?
Shalnov [3]

Answer:

It would be (-5,3). Hope this helps!

Step-by-step explanation:

Start from zero on the x line and count until you get to the where the P is, then start from zero and count on the Y line till you get to the P.

5 0
3 years ago
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Korolek [52]
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4 0
3 years ago
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