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Pachacha [2.7K]
3 years ago
9

What is the slope of the line represented by the equation 2x+4y=5

Mathematics
1 answer:
Ksju [112]3 years ago
5 0

Answer:

-1/2

Step-by-step explanation:

First, put the equation in y=mx+b form

Subtract 2x from both sides for4y=-2x+5

Divide both sides by 4 for y=-1/2x+5/4

Slope is -1/2

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Find all solutions of the equation in the interval [0, 2π). 2cosθ+ 1= 0
zlopas [31]

Hello!

\large\boxed{\frac{2\pi}{3} \text{ and } \frac{4\pi}{3}}

2cosФ + 1 = 0

Begin by isolating for cosФ. Subtract both sides by -1:

2cosФ = -1

Divide both sides by 2:

cosФ = -1/2

Using the unit circle, we know that from [0, 2π), values that have a cosine of -1/2 are 2π/3 and 4π/3.

Therefore, the solutions of this equation are:

Ф = 2π/3 and 4π/3

5 0
3 years ago
7p + 3(-6p + 2) &gt; 7p+9+1<br> Someone help me
olga_2 [115]

Answer:

p > -0.2222

Step-by-step explanation:

7p + 3(-6p + 2) > 7p + 9 +1

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-11p - 7p > 10 - 6

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3 0
3 years ago
The diagonal of a rectangle is 15cm and the perimeter is 38cm . what is the area?​
babymother [125]

Answer:

570cm squared

Step-by-step explanation:

Multiply 38 by 15.

6 0
3 years ago
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Gala2k [10]

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Step-by-step explanation: hope this helps

4 0
2 years ago
Calculate the slope of a line that passes through the points (6, -12) and (15, -3).
Stells [14]

Answer:

B. 1

Step-by-step explanation:

The slope is calculated by taking the difference in the y-coordinates of two points and dividing that by the difference in the x-coordinates of those two points.

Here, we have (6, -12) and (15, -3).

The difference in the y-coordinates is:

15 - 6 = 9

The difference in the x-coordinates is:

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Divide 9 by 9:

9/9 = 1

The slope is thus 1, and the answer is B.

3 0
3 years ago
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