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Alex73 [517]
1 year ago
5

Sketch the graph of each line y= -2

Mathematics
1 answer:
Inessa [10]1 year ago
8 0

The graph of y = -2 is shown below;

Please observe that y is always -2 for any value of x. Hence the graph is a straight line at the point where you have negative 2 on the vertical axis (y-axis).

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Beau has decided to use the method of elimination to solve the system of equations as shown below.
emmainna [20.7K]

Answer:

Step-by-step explanation:

The given equations are:

2x+3y=15                     (1)

and x-3y=3                 (2)

Now, simply adding equation (1) and equation (2), we get

2x+3y+x-3y=15+3

3x=18

x=6

Now, substituting the value of x=6 in equation (2). we get

6-3y=3

6-3=3y

3=3y

y=1

Thus, the values of x and y are 6 and 1 respectively.

In order to solve the system of solution, beau can see that in both  the given equations, coefficient of y is same and is with opposite sign, thus simply adding both the equations will eliminate y and she will get the value of x and then substituting the value of x in any of the equations, she can get the value of y. With this, she can get closer to the solution.

8 0
3 years ago
Michael is 3 times as old as Brandon. 18 years ago, Michael was 9 times as old as Brandon.
Zigmanuir [339]
I hope this helps you


Brandon x


Michael 3x


18 years ago


Brandon x-18


Michael 3x-18


9 (x-18)=3x-18


9x-9.18=3x-18

9x-3x=9.18-18

6x=8.18

x=8.3

x= 24
5 0
3 years ago
Identify the slope and y-intercept of the given graph.
Kryger [21]
The y intercept is 4
4 0
3 years ago
Which expression represent the product of x3 + 2x - 1 and x4 - x3 + 3
Alborosie

Answer:

x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

Step-by-step explanation:

(x3 + 2x - 1)  (x4 - x3 + 3)

= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3

= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

7 0
3 years ago
Find the volume of this cylinder.
Lina20 [59]

Answer:

The answer is 3418.1 ft rounded to the nearest tenth.

Step-by-step explanation:

The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.

The area of the circular base can be calculated as

\pi \times  {r}^{2}

where r is the radius of the circular base, which is 8 ft.

The area of the circular base is

\pi \times  {8}^{2}  = 64\pi

We also know the height of the cylinder is 17 ft.

Hence, the volume of the cylinder is

64\pi \times 17 = 1088\pi = 3418.0528...

This will be rounded up to 3418.1 with the nearest tenth

8 0
3 years ago
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