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3 years ago

Which ordered pair is the solution set for the system of equations below? 2x + y = 18 x – y = –6

Mathematics

1 answer:

qaws [65]3 years ago

7 0

Answer:

(4,10) is the solution

Step-by-step explanation:

2x + y = 18

x – y = –6

Using elimination

2x + y = 18

x – y = –6

----------------------

3x = 12

Dividing each side by 3

3x/3 = 12/3

x =4

Now we can find y

2x+y = 18

2(4) +y =18

8+y = 18

Subtracting 8 from each side

8-8+y = 18-8

y=10

(4,10) is the solution

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X = ? y = ? 16 45 degrees

mezya [45]

Let's put more details in the figure to better understand the problem:

Let's first recall the three main trigonometric functions:

$\text{ Sine }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Hypotenuse}}$ $\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $\text{ Tangent }\theta\text{ = }\frac{\text{ Opposite Side}}{\text{ Adjacent Side}}$

For x, we will be using the Cosine Function:

$\text{ Cosine }\theta\text{ = }\frac{\text{ Adjacent Side}}{\text{ Hypotenuse}}$ $Cosine(45^{\circ})\text{ = }\frac{\text{ x}}{\text{ 1}6}$ $(16)Cosine(45^{\circ})\text{ = x}$ $(16)(\frac{1}{\sqrt[]{2}})\text{ = x}$ $\text{ }\frac{16}{\sqrt[]{2}}\text{ x }\frac{\sqrt[]{2}}{\sqrt[]{2}}\text{ = }\frac{16\sqrt[]{2}}{2}$ $\text{ 8}\sqrt[]{2}\text{ = x}$

Therefore, x = 8√2.

For y, we will be using the Sine Function.

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1 year ago

The axis of the sphere below is 16 units in length. What is the surface area of the sphere?.

Nataly_w [17]

There are enough information's already given in the question. Based on those information's that answer can be easily deduced.
Radius of the sphere = 8 units
Then
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I hope that this answer has come to your help.

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3 years ago

Read 2 more answers

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IgorC [24]

Answer:

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So after 2 hours you will have 2430 bacteria cells.

Step-by-step explanation:

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3 years ago

Are the associative properties true for all integers

Ymorist [56]

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3 years ago