<img src="https://tex.z-dn.net/?f=2%20%20%7B%20%5Ctimes%20%7D%5E%7B2%7D%20%20-%204x%20-%202%20%3D%200" id="TexFormula1" title="2

Hello,

(tg(x))'=1/cos²(x)

(arcsin(x))'=1/√(1-x²)

cos²(arcsin(x))=1-sin²(arcsin(x))=1-x²

$(tg(arcsin(x)))'= \dfrac{1}{cos(arcsin(x)))^2} * \dfrac{1}{\sqrt{1-x^2}} \\

=\dfrac{1}{1-sin(arcsin(x))^2}* \dfrac{1}{\sqrt{1-x^2}} \\

= \dfrac{1}{1-x^2} * \dfrac{1}{\sqrt{1-x^2}} \\

\boxed{= \dfrac{\sqrt{1-x^2}}{x^4-2x^2+1}}\\

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4 0

2 years ago

Quadrilateral OPQR is inscribed inside a circle as shown below. What is the measure of angle Q? You must show all work and calcu

Firlakuza [10]

Answer:

the measure of angle Q = 92°

Step-by-step explanation:

<u><em>The quadrilateral OPQR is inscribed inside a circle, then its opposite angles are supplementary</em></u>.

………………………………

Then

m∠O + m∠Q = 180

Then

2x + (2x+4) = 180

Then

4x + 4 = 180

Then

4x = 180 - 4

Then

4x = 176

Then

x = 176/4

Then

x = 44

Therefore

m∠Q = 2(44) + 4 = 88 + 4 = 92°

6 0

1 year ago

A car can travel 476 miles on 14 gallons of gas. Write an equation relating the distance d to the number of gallons g. How many

Irina-Kira [14]

1 gallon is equal to 34 miles so 1g = 34 d it would take 17 gallons of gas to travel 578 miles

4 0

2 years ago

Brandon is planning to make fudge. Each pound of fudge costs $4.25 to make. Use the ratio table to show your strategy for findin

ss7ja [257]

19 pounds of fudge will cost $80.75

7 0

2 years ago