Sec^4x - 2sec^2 x+1 show work dont steal pount

Mathematics

1 answer:

zheka24 [161]3 years ago

6 0

Answer:

hey sec^4 x -2sec^2x=tan^4 x-1 sec^2 x (sec^ x-2)=tan^4 x-1 tan^2 x+1(tan^2 x+1-2)=tan^4 x-1 tan^2 x+1(tan^2 x-1)=tan^4 x-1 tan^4 x-1=tan^4 x-1----

Step-by-step explanation:

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Fittoniya [83]

Answer:

Step-by-step explanation:

$\sqrt[3]{\dfrac{(x-2)^2}{(x+4)(x-2)} } =\sqrt[3]{\dfrac{(x-2)}{(x+4)} }$

5 0

3 years ago

4. You work in the upholstery department of a furniture factory.

Wewaii [24]

Answer:

a. $1360

b. $8.50 per hour

Step-by-step explanation:

5 couches upholstered, each 105 equals 5 * 105 = 525

6 loveseats upholstered, each 85 equals 6 * 85 = 510

5 chairs upholstered, each 65 equals 5 * 65 = 325

Hence, total pay = 525 + 510 + 325 = $1360

To find hourly rate, we take total amount and divide it by number of hours.

1360/160 = $8.5 per hour

Hence, hourly rate is $8.50 per hour

4 0

4 years ago

Geometry math question

Brut [27]

Look at the picture.

Let |AE| = |AD| = b

We have a proportion:

$\dfrac{x}{13}{y}=\dfrac{19}{y+a}=\dfrac{x}{y+2a}$

Solve for y from first proportion

$\dfrac{13}{y}=\dfrac{19}{y+a}\ \ \ |\text{cross multiply}\\\\19y=13(y+a)\\\\19y=13y+13a\ \ \ \ |-13y\\\\6y=13a\ \ \ |:6\\\\y=\dfrac{13}{6}a$

Substitute to the second proportion

$\dfrac{19}{y+a}=\dfrac{x}{y+2a}\\\downarrow\\\dfrac{19}{\frac{13}{6}a+a}=\dfrac{x}{\frac{13}{6}a+2a}\\\\\dfrac{19}{\frac{13}{6}a+\frac{6}{6}a}=\dfrac{x}{\frac{13}{6}a+\frac{12}{6}a}\\\\\dfrac{19}{\frac{19}{6}a}=\dfrac{x}{\frac{25}{6}a}\ \ \ \ |\dot a\neq0\\\\\dfrac{19}{\frac{19}{6}}=\dfrac{x}{\frac{25}{6}}\\\\19\cdot\dfrac{6}{19}=x\cdot\dfrac{6}{25}\\\\6=\dfrac{6x}{25}\ \ \ |\cdot25\\\\6x=6\cdot25\ \ \ |:6\\\\x=25$