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White raven [17]
3 years ago
15

What's the answer? pls help

Mathematics
1 answer:
Pachacha [2.7K]3 years ago
8 0

Answer:

-1/5

Step-by-step explanation:

slope = y2 - y1 / x2 - x1

slope = 18 - 19 / 5 - 0

slope = -1/5

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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
Which algebraic expression is equivalent to the expression below?
prohojiy [21]
You can again ignore the parenthesis because you are not distributing anything. 
Your equation will look like this

3x + 11 + 6x

You can move each of these numbers around any way you like. You can combine the 3x and the 6x if you want, but they did not do that. You cannot take the x away and put it in front of the 11 though.

B. is your answer. All they did was move the 6x inside the parenthesis and the 11 out of the parenthesis. 

Always remember, when you are adding things together, the parenthesis don't matter! 
3 0
3 years ago
Read 2 more answers
Solve x3 = 1 over 8. <br> 1 over 2 <br> ±1 over 2 <br> 1 over 4 <br> ±1 over 4
cricket20 [7]
X³ =  1/8

Take the cube root of both sides.

∛x³  = ∛(1/8)

Since x³ has 3 of such x multiplying each other so we bring out 1 of the x from the cube root sign as discussed.

x = ∛((1/2)*(1/2)*(1/2))

We bring out 1 of the (1/2) out of the cube root sign as well.

x = 1/2

So the answer is the first option.  1 over 2.

I hope this helps.
7 0
3 years ago
Which statements describe the function f(x) = 3(1/3)x? Check all that apply. Each successive output is the previous output divid
Citrus2011 [14]

Answer: A,b,e

A:Each successive output is the previous output divided by 3.

B:As the domain values increase, the range values decrease. 

E:The range of the function is all real numbers greater than 0. 

These are the answers on e2020. Hope this helps

6 0
2 years ago
Read 2 more answers
What is the center of the circle (x + 2)2 + (y - 5)2 = 2.25?
avanturin [10]
This equation of the circle is in a center-radius form which is more generally written as,
                            (x - h)² + (y - k)² = r²
From the equation, the center of the circle is (h,k) and r is the radius. From the given equation above, the center of the circle is (-2,5).
3 0
3 years ago
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