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slega [8]
3 years ago
11

Negative three times a number increased by seven is less than negative eleven

Mathematics
1 answer:
Damm [24]3 years ago
6 0
Express the question as an inequality and solve

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Prove that :( 1 + 1/<img src="https://tex.z-dn.net/?f=tan%5E%7B2%7DA" id="TexFormula1" title="tan^{2}A" alt="tan^{2}A" align="ab
Aliun [14]

Answer:

See explanation

Step-by-step explanation:

Simplify left and right parts separately.

<u>Left part:</u>

\left(1+\dfrac{1}{\tan^2A}\right)\left(1+\dfrac{1}{\cot ^2A}\right)\\ \\=\left(1+\dfrac{1}{\frac{\sin^2A}{\cos^2A}}\right)\left(1+\dfrac{1}{\frac{\cos^2A}{\sin^2A}}\right)\\ \\=\left(1+\dfrac{\cos^2A}{\sin^2A}\right)\left(1+\dfrac{\sin^2A}{\cos^2A}\right)\\ \\=\dfrac{\sin^2A+\cos^2A}{\sin^2A}\cdot \dfrac{\cos^2A+\sin^A}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A}\cdot \dfrac{1}{\cos^2A}\\ \\=\dfrac{1}{\sin^2A\cos^2A}

<u>Right part:</u>

\dfrac{1}{\sin^2A-\sin^4A}\\ \\=\dfrac{1}{\sin^2A(1-\sin^2A)}\\ \\=\dfrac{1}{\sin^2A\cos^2A}

Since simplified left and right parts are the same, then the equality is true.

3 0
3 years ago
Y=-6x-2, y=-6x-2 how many solutions are in it
GuDViN [60]

Answer:

Infinite

Step-by-step explanation:

I hope this helps, if it doesn't then just message me and ill be more than happy to help :)

8 0
2 years ago
Solve . (5 points) Question 5 options: 1) −20 2) −24 3) 20 4) 24
e-lub [12.9K]

Answer:

18 21 24 24 =87 maybe trying to help

8 0
3 years ago
Can someone pls help me? :)
erastova [34]

Step-by-step explanation:

1 t=16/21

2.m=2

3.n=13/7

4.a=2

5.x=6/17

6.x=15

7.s=21/4

8. t=7/3

9. s=1

10. s=6/61

11. x=1/3

12. r=27/16

13. c=−1

14.m=9/5n

15. j=−117/58

8 0
3 years ago
How many solutions does the following equation have? -4-7+10x=-7+6x
stealth61 [152]

Answer:

Step-by-step explanation:

-4 - 7 + 10x = -7 + 6x...combine like terms

10x - 11 = 6x - 7

10x - 6x = -7 + 11

4x = 4

x = 4/4

x = 1.........ONE SOLUTION

4 0
3 years ago
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