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Lesechka [4]
3 years ago
12

Which of the following ordered pairs is a solution of 2x-y=-9?

Mathematics
2 answers:
Nookie1986 [14]3 years ago
6 0
(4,-1)......................
Ann [662]3 years ago
3 0

Answer:

(4,-1)

Step-by-step explanation:

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A FEW MATH QUESTIONS ! PLEASE EXPLAIN ANSWERS ! (:
7nadin3 [17]

answers

1) 70

2) 3,840

3) 24

4) 72


<u>Explanation</u>

Q1

The surface area of a cone is given by;

S.A = 2Πrl + Πr²

Where r is the radius of the base and l is the lateral height.

Πr² = area of the base = 20 in²

2Πrl = Area of the lateral surface

         = 2.5 × 20

          = 50

Area of the cone = 50 + 20

                            = 70 in²

Q2

The sides of the Pythagorean triangle with legs of 12 and 16.

The 3rd side will be;

c = √(12² + 16²)

  = √400 = 20

Volume = 12 × 16 × 20

              = 3,840

Q3

The volume of a cone is given by;

volume = 1/3 Π r² h

This shows that the volume of a cone is a third the volume of the cylinder.

∴ Volume of the cylinder = 12 × 3

                                            = 24 ft³

Q4

The volume of any regular figure is;

Volume = base area × height

When the dimensions area usually 3. Let these dimensions be x, y and z.

∴ volume  = x × y × z = 9

  Doubling the dimensions;

Volume = 2x × 2y × 2z = 2 × 2 × 2 × 9

             = 8 × xyz = 8 × 9

             = 72 ft²



3 0
3 years ago
Read 2 more answers
Solve for x and y:<br> 3/x -1/y =13/10<br> 1/x + 2/y =9/10
harkovskaia [24]

Answer:

  (x, y) = (2, 5)

Step-by-step explanation:

I find it easier to solve equations like this by solving for x' = 1/x and y' = 1/y. The equations then become ...

  3x' -y' = 13/10

  x' +2y' = 9/10

Adding twice the first equation to the second, we get ...

  2(3x' -y') +(x' +2y') = 2(13/10) +(9/10)

  7x' = 35/10 . . . . . . simplify

  x' = 5/10 = 1/2 . . . . divide by 7

Using the first equation to find y', we have ...

  y' = 3x' -13/10 = 3(5/10) -13/10 = 2/10 = 1/5

So, the solution is ...

  x = 1/x' = 1/(1/2) = 2

  y = 1/y' = 1/(1/5) = 5

  (x, y) = (2, 5)

_____

The attached graph shows the original equations. There are two points of intersection of the curves, one at (0, 0). Of course, both equations are undefined at that point, so each graph will have a "hole" there.

3 0
3 years ago
Which variable will you choose to eliminate? How? -3x -8y=-24 and <br> 3x - 5y= 45
Jet001 [13]

Answer:

Lets choose y

  • -8y=3x-24
  • y=-3/8x+3

Plug in

  • 3x+15/8x-15=45
  • 39/8x= 60
  • x=480/39
3 0
3 years ago
Read 2 more answers
55 more than a number is twenty.
Mrac [35]

Answer:-35

Step-by-step explanation:

To find 55 more a number equal to 20

We get

Let the number b y

55 more than the number

We be

y+55=20

y=20-55

y=-35

7 0
3 years ago
A triangle has sides of lengths 6 cm, 10 cm and 11 cm. An equilateral triangle has the same perimeter. What is the length of the
ryzh [129]

Answer: 9 centimeters

Step-by-step explanation:

Add up all the sides, 6 + 10 + 11 = 27,

Since it’s the perimeter of an equilateral triangle, you do

27 / 3 = 9, which is the answer.

8 0
3 years ago
Read 2 more answers
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