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dedylja [7]
2 years ago
13

What is the slope of line m?

Mathematics
2 answers:
Alexxx [7]2 years ago
7 0

The slope of the line passing through the coordinates 8(0, 0) and (-2 , 1) is -1/2

<h3>Slope of a line</h3>

The formula for calculating the slope of a line is expressed as

slope = y2-y1/x2-x1

Given the coordinate points (0, 0) and (-2 , 1), the slope is expressed as:

Slope = 1-0/-2-0

Slope = 1/-2

Slope = -1/2

Hence the slope of the line passing through the coordinates 8(0, 0) and (-2 , 1) is -1/2

Learn more equation of a line here: brainly.com/question/18831322

#SPJ1

Dima020 [189]2 years ago
3 0

The slope of the line m is - 1 / 2.

<h3>How to find the slope of a line?</h3>

The slope a line can be found as follows:

slope = m = y₂ - y₁ / x₂ - x₁

using (0, 0)(2, -1)

hence,

slope = - 1 - 0 / 2 - 0

slope = - 1 / 2

hence,

slope = - 1 / 2

Therefore, the slope of the line m is - 1 / 2.

learn more on slope here: brainly.com/question/19597569

#SPJ1

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Given that Cosecant (t) = negative StartFraction 13 Over 5 EndFraction for Pi less-than t less-than StartFraction 3 pi Over 2 En
Sergio [31]

Answer:

\bold{cot(t) =\dfrac{12}{5}}

Step-by-step explanation:

Given that:

Cosec (t) = -\frac{13}5

for \pi < t < \frac{3 \pi}2

That means, angle t is in the 3rd quadrant.

To find:

Value of cot(t)

Solution:

First of all, let us recall what trigonometric ratios are positive and what trigonometric ratios are negative in 3rd quadrant.

In 3rd quadrant, tangent and cotangent are positive.

All other trigonometric ratios are negative.

Let us have a look at the following identity:

cosec^2\theta -cot^2\theta =1

here, \theta =t

So, cosec^2t-cot^2t=1

\Rightarrow (-\dfrac{13}{5})^2-cot^2t=1\\\Rightarrow (\dfrac{169}{25})-cot^2t=1\\\Rightarrow \dfrac{169}{25}-1=cot^2t\\\Rightarrow \dfrac{169-25}{25}=cot^2t\\\Rightarrow \dfrac{144}{25}=cot^2t\\\Rightarrow cot(t)=\pm\sqrt{\dfrac{144}{25}}\\\Rightarrow cot(t)=\pm\dfrac{12}{5}

But, angle t is in 3rd quadrant, so value of

\bold{cot(t) =\dfrac{12}{5}}

4 0
3 years ago
The rotation of q h j 180° about the origin
IrinaK [193]
Could you please give me more of a description?
7 0
3 years ago
How do I get the answer??
Lubov Fominskaja [6]

Answer:

4√10

Step-by-step explanation:

Hello!

Let's first simplify the radical.

We can do this by expanding the radical:

We need to pull out a perfect square factor to expand a radical and simplify it. In 45, we have 9 and 5 multiplied, and 9 is a perfect square.

Let's work with √45:

  • √45 can be written as √9 * √5 (using the rule √ab = √a * √b)
  • √9 simplifies to 3, so it is 3√5

Now we can simplify the operation in the parenthesis by combining like terms:

  • 3√5 + √5
  • √5 + √5 + √5 + √5
  • 4√5

Now using the same rule as above, we can multiply the values:

  • √2(4√5)
  • 4√10

Your solution is 4√10

3 0
2 years ago
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