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KIM [24]
3 years ago
12

Help!

Mathematics
1 answer:
aniked [119]3 years ago
6 0
A: x intercept is -2 and y intercept is -3
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If sinθ = -1/2 and θ is in Quadrant III, then tanθ = _____.
Gnom [1K]

Answer:  \tan \theta=\dfrac{1}{\sqrt3}.

Step-by-step explanation:  Given that

\sin\theta=-\dfrac{1}{2} and \theta lies in Quadrant III.

We are to find the value of \tan \theta.

We will be using the following trigonometric identities:

(i)~sin^2\theta+\cos^2\theta=1,\\\\(ii)~\dfrac{\sin\theta}{\cos{\theta}}=\tan \theta.

We have

\tan\theta\\\\\\=\dfrac{\sin\theta}{\cos\theta}\\\\\\=\dfrac{\sin\theta}{\pm\sqrt{1-\sin^2\theta}}\\\\\\=\pm\dfrac{-\frac{1}{2}}{\sqrt{1-\left(\frac{1}{2}\right)^2}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\sqrt{1-\frac{1}{4}}}\\\\\\=\pm\dfrac{\frac{1}{2}}{\frac{\sqrt3}{2}}\\\\\\=\pm\dfrac{1}{\sqrt3}.

Since \theta lies in Quadrant III, so tangent will be positive.

Thus,

\tan \theta=\dfrac{1}{\sqrt3}.

8 0
3 years ago
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The sum of three consecutive odd integers if the first inteher is x
Ivanshal [37]
First odd integer = x
second odd integer = x + 2
third odd integer = x + 4
sum of all three <span>consecutive odd integers:
x + x + 2 + x + 4
= 3x + 6

answer
3x + 6
hope it helps</span>
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What else would need to be congruent to show that ABC DEF by SAS?
elena-s [515]
Line BC needs to be congruent to EF
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Figure BCDE was transformed using the composition rx-axis ◦ T2,2. If point B on the pre-image lies at (3, 4), what are the coord
kaheart [24]
Thank you for posting your question here at brainly. If point B on the pre-image lies at (3, 4), the are the coordinates of B'' on the final is (5, -6). Below is the solutions, I hope the answer helps. 

rx-axis ◦ T2,2 (3,4) 
<span>= rx-axis ( T2,2 (3,4)  ) </span>
<span>= rx-axis ( 5,6  ) </span>
= (5, -6)
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3 years ago
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Solve for x<br> 4/7 = x/6<br> what is x?
yawa3891 [41]

Answer:

x= 24/7 or 3 3/7

Step-by-step explanation:

i hope this helps :)

7 0
3 years ago
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