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3 years ago

Solve the system of equations. y=2x-4 and 3y=2x

Mathematics

1 answer:

Ganezh [65]3 years ago

7 0

Answer:

x = -3

y = -2

Step-by-step explanation:

y = 2x - 4

3y = 2x

Minus bottom from top:

2y = -4

y = -2

Plug in for y to solve for x:

3y = 2x

-6 = 2x

x = -3

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Explain the difference between complementary and supplementary angles.

jek_recluse [69]

Answer:

Step-by-step explanation: Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees. One way to avoid mixing up these definitions is to note that s comes after c in the alphabet, and 180 is greater than 90.

Supplementary angles are two angles whose measures add up to 180° . The two angles of a linear pair , like ∠1 and ∠2 in the figure below, are always supplementary. But, two angles need not be adjacent to be supplementary. In the next figure, ∠3 and ∠4 are supplementary, because their measures add to 180° .

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3 years ago

3. Simplify: 2^2√2x+6^4√2x

Whitepunk [10]

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4 years ago

–2|u| = –68 ill give 5 oints

german

The solution to the given equation –2|u| = –68 is u = 34, -34.

<h3>What is the solution to the equation?</h3>

Given the equation in the question;

–2|u| = –68

To find u, divide both sides by -2

–2|u| = –68

(–2|u|)/2 = (–68)/-2

|u| = 34

Remove the absolute value term, this create ± on the right side of the equation. ( |x| = ±x )

u = ±34

Hence,

u = 34, -34

Therefore the solution to the given equation –2|u| = –68 is u = 34, -34.

Learn more about absolute values here: brainly.com/question/1301718

#SPJ1

8 0

2 years ago

How many digits are there in the smallest sequence of repeating digits in the decimal equivalent of

Alex Ar [27]

Answer: 3

=================================================

Explanation:

Using a calculator, you should find that

233/999 = 0.233233233233...

the "233" repeats forever. We see that there are 3 digits here, which is the answer.

6 0

3 years ago

The equation of the line through (2,-5) and parallel to the line x+3y-9=0is:

djyliett [7]

Answer:

x + y = -13

Step-by-step explanation:

The equation of a line is y=mx+c

Line x+3y-9=0

Let's rearrange.

3y= -x+9

Divide both sides by 3.

3y/3 = -x/3 +9/3

y= -x/3 + 3

The gradient is the coefficient of x which is -1/3.

Therefore, m1 = -1/3

Where m1 is the gradient of the first line.

When two lines are parallel, their gradients are equal.

Therefore m1=m2

Where m2 is the gradient of the second line.

Therefore m2=-1/3

Now, we need to find c.

(2,-5)

Here, x=2, y=-5

y=mx+c

-5 = -1/3(2) + c

-5 = -2/3 + c

-5 + 2/3 = c

This can also be written as...

c = -5 +2/3

The LCM is 3.

The addition will give -13/3.

Now, let's create the equation We have m2 and c.

y = mx + c

y = -1/3(x) + (-13/3)

Take note of the signs, (+), and (-).

y = -x/3 - 13/3

Multiply both sides by 3 to remove the denominators.

(3)y = (3)-x/3 - (3)13/3

y = -x - 13

Or

x + y = -13

I hope you understand. Please give brainliest, thank, and rate 5 stars. thanks.

6 0

4 years ago