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yan [13]
3 years ago
15

Find the solution to the system of linear equations.

Mathematics
1 answer:
natali 33 [55]3 years ago
6 0

Answer:

     x = -1          y = 2

Step-by-step explanation:

Notice that the coefficients of x are opposites of each other.  That makes the problem so much easier to solve.  All you have  to do is add the two equations and the x terms will be eliminated.

2x - 4y = -10

<u>-2x - y = 0</u>

    - 5y = -10

        y = 2        Substitute y = 2 into the first equation.  2x - 4(2) = -10

                                                                                          2x - 8 = -10

                                                                                               2x = -2

                                                                                                 x = -1

It is always a good idea to check your results into the equations to see if they satisfy the equations.

<u>    </u>

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Find a:27=6:11, find a​
trasher [3.6K]

Answer:

a = 14.73

Step-by-step explanation:

This ratio can also be written like this:

\frac{a}{27} = \frac{6}{11}

Then you can cross multiply to get

11a = 6 x 27

11a = 162

Divide both sides by 11

11a / 11 = 162 / 11

a = 14.73

3 0
3 years ago
A spherical tank holds about 7,234.56 cubic meters of air.
Inessa [10]

Answer:

The radius of the spherical tank is 12 meters

Step-by-step explanation:

In this question, we are tasked with calculating the radius of the spherical tank given the volume of air it can hold

Mathematically, the volume V of a sphere is 4/3 * pi * r^3

Thus, 7234.56 = 4/3 * 3.14 * r^3

7,234.56 = 4.19 * r^3

r^3 = 7234.56/4.19

r^3 = 1,728

r = cube root of 1,728

r = 12 meters

8 0
3 years ago
Find the measure of angle BCD in the following parallelogram. what's does BCD equal
DiKsa [7]

Answer:

120 degrees

Step-by-step explanation:

This is a quadrilateral, and by definition, the sum of all the interior angles is 360. So, we can just sum up all the expressions and set them equal to 360:

2x + x + 2x + x = 360

Combine like terms and solve for x:

6x = 360

x = 360/6 = 60

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Thus, the answer is 120 degrees.

Hope this helps!

4 0
3 years ago
Help PLSSSSSSSSSSSSSSS
valentina_108 [34]

Answer:

x + 12 = -15

x = -18

6 0
3 years ago
What is the slope of the line?
xeze [42]

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

Pick a point and count how many steps up and how many steps to the right you need to make to get to the next point. That's how you find slope.

3 0
2 years ago
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