Answer:
sec²(x) - sec(x) + tan²(x) = (sec(x) - 1)(2sec(x) + 1)
Step-by-step explanation:
sec²(x) - sec(x) + tan²(x) =
= sec²(x) - sec(x) + [sec²(x) - 1]
= sec²(x) - sec(x) + [(sec(x) + 1)(sec(x) - 1)]
= sec(x)[sec(x) - 1] + [(sec(x) + 1)(sec(x) - 1)]
= (sec(x) - 1)(sec(x) + sec(x) + 1)
= (sec(x) - 1)(2sec(x) + 1)
Answer:
Multiply the top equation by -3 and the bottom equation by 2
Step-by-step explanation:
Given <u>system of equations</u>:
To solve the given system of equations by addition, make one of the variables in both equations <u>sum to zero</u>. To do this, the chosen variable must have the <u>same coefficient</u>, but it should be <u>negative</u> in one equation and <u>positive</u> in the other, so that when the two equations are added together, the variable is <u>eliminated</u>.
<u>To eliminate the </u><u>variable y</u>:
Multiply the top equation by -3 to make the coefficient of the y variable 6:
Multiply the bottom equation by 2 to make the coefficient of the y variable -6:
Add the two equations together to <u>eliminate y</u>:
<u>Solve</u> for x:
<u>Substitute</u> the found value of x into one of the equations and <u>solve for y</u>:
Learn more about systems of equations here:
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Answer:
Solution given:
radius [r]=2cm
height [h]=8cm
total surface area of cylinder=?
we have
total surface area of cylinder=2πr²+2πrh
- 2πr(r+h)
- 2π*2(2+8)
- 40π or 125.66cm²
<u>total surface area of cylinder</u><u>40π or 125.66cm²</u><u>.</u>
Answer:
x=-1/2
Step-by-step explanation:
add 2 to both sides
3x=x-1
subtract x from both sides
2x=-1
divide by 2
x=-1/2