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Serggg [28]
3 years ago
11

Verify that -tan2x = (2tanx) / (sec^2x - 2)

Mathematics
1 answer:
sashaice [31]3 years ago
8 0

Answer:

Below.

Step-by-step explanation:

- tan 2x =   -2tanx / (1 - tan^2x)

Using the identity  tan^2x = sec^2x - 1 and substituting for tan^2x:

- tan 2x = -2 tanx / (1 - (sec^2x - 1))

=   2 tanx / ( - 1(sec^2x + 2))

= 2 tan x / (sec^2 x - 2)

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A construction team gives an estimate of three months to repave a large stretch of a very busy road with their core crew of 9 pe
Licemer1 [7]

Answer:

27

Step-by-step explanation:

9 crew members complete a job in 3 months

Number of crew members is inversely proportion to construction time :

Let :

Crew members = m

Construction time = t

m α 1 /t

m = k/t

m = 9 ; t = 3

9 = k /3

k = 27

If t = 1 (one month)

m =?

m = k/t

m = 27 / 1

Hence;

m = 27 * 1

m = 27 workers

6 0
2 years ago
What is x ? please help :)
bekas [8.4K]

Answer:

x =12

Step-by-step explanation:

The two angles are complementary, so the add to 90 degrees

5x+1/2x +24 = 90

Combine like terms

5 1/2 x +24 = 90

Subtract 24 from each side

5 1/2 x = 90-24

Change the mixed number to an improper fraction

11/2 x = 66

Multiply by the reciprocal 2/11 on each side

2/11 *11/2 x = 66*2/11

x = 6*2

x =12

3 0
3 years ago
X/4 - y/3 =1 X and Y axis standard form
Semenov [28]

Answer:

Step-by-step explanation:

x/4 - y/3 = 1..multiply everything by the LCD....which is 12

3x - 4y = 12 <== standard form

=====================================

if it makes it easier for u, x/4 is the same as (1/4)x and y/3 is the same as (1/3)y

so ur problem can be written as : (1/4)x - (1/3)y = 1....multiply by 12

12(1/4)x - 12(1/3)y = 12(1)

(12/4)x - (12/3)y = 12.....reduce

3x - 4y = 12

5 0
3 years ago
If it takes 4 gallons of gas to go 92 miles, how many can be driven in 6 gallons
saveliy_v [14]
138 because 92/4 equals 23 which is the miles per gallon, then you multiply that by 6<span />
5 0
3 years ago
Got a fairly simple looking system of equations, 2k+4y=20, and 3x+6y=30 Don't understand how to prove what values of k provide -
Leya [2.2K]

Answer:

2kx+4y=20 ⇒ kx+2y=10

3x+6y=30 ⇒ x+2y= 10

k is the coefficient of x, so it is the slope of the line

  • when k=1, both equations will be same, then there are many solutions
  • when k=0 there is one solution
  • when k is anything different, then the lines will be parallel, so no solutions
6 0
3 years ago
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