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Ratling [72]
2 years ago
12

Please help me!! I don't understand No linksssss

Mathematics
1 answer:
AVprozaik [17]2 years ago
3 0

Answer:

thanks haahhahahaha

Step-by-step explanation:

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Use the discriminant to determine the number and type of solutions the equation has.
lidiya [134]
Discriminant = square root (b^2 -4*a*c)
square root (64 -4*1*12) =
square root (16) =
4
Therefore it has 2 rational soltions


4 0
2 years ago
Evaluate the interval (Calculus 2)
Darya [45]

Answer:

2 \tan (6x)+2 \sec (6x)+\text{C}

Step-by-step explanation:

<u>Fundamental Theorem of Calculus</u>

\displaystyle \int \text{f}(x)\:\text{d}x=\text{F}(x)+\text{C} \iff \text{f}(x)=\dfrac{\text{d}}{\text{d}x}(\text{F}(x))

If differentiating takes you from one function to another, then integrating the second function will take you back to the first with a constant of integration.

Given indefinite integral:

\displaystyle \int \dfrac{12}{1-\sin (6x)}\:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Terms multiplied by constants}\\\\$\displaystyle \int a\:\text{f}(x)\:\text{d}x=a \int \text{f}(x) \:\text{d}x$\end{minipage}}

If the terms are multiplied by constants, take them outside the integral:

\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)}\:\:\text{d}x

Multiply by the conjugate of 1 - sin(6x) :

\implies 12\displaystyle \int \dfrac{1}{1-\sin (6x)} \cdot \dfrac{1+\sin(6x)}{1+\sin(6x)}\:\:\text{d}x

\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{1-\sin^2(6x)} \:\:\text{d}x

\textsf{Use the identity} \quad \sin^2 x+ \cos^2 x=1:

\implies \sin^2 (6x) + \cos^2 (6x)=1

\implies \cos^2 (6x)=1- \sin^2 (6x)

\implies 12\displaystyle \int \dfrac{1+\sin(6x)}{\cos^2(6x)} \:\:\text{d}x

Expand:

\implies 12\displaystyle \int \dfrac{1}{\cos^2(6x)}+\dfrac{\sin(6x)}{\cos^2(6x)} \:\:\text{d}x

\textsf{Use the identities }\:\: \sec \theta=\dfrac{1}{\cos \theta} \textsf{ and } \tan\theta=\dfrac{\sin \theta}{\cos \theta}:

\implies 12\displaystyle \int \sec^2(6x)+\dfrac{\tan(6x)}{\cos(6x)} \:\:\text{d}x

\implies 12\displaystyle \int \sec^2(6x)+\tan(6x)\sec(6x) \:\:\text{d}x

\boxed{\begin{minipage}{5 cm}\underline{Integrating $\sec^2 kx$}\\\\$\displaystyle \int \sec^2 kx\:\text{d}x=\dfrac{1}{k} \tan kx\:\:(+\text{C})$\end{minipage}}

\boxed{\begin{minipage}{6 cm}\underline{Integrating $ \sec kx \tan kx$}\\\\$\displaystyle \int  \sec kx \tan kx\:\text{d}x= \dfrac{1}{k}\sec kx\:\:(+\text{C})$\end{minipage}}

\implies 12 \left[\dfrac{1}{6} \tan (6x)+\dfrac{1}{6} \sec (6x) \right]+\text{C}

Simplify:

\implies \dfrac{12}{6} \tan (6x)+\dfrac{12}{6} \sec (6x)+\text{C}

\implies 2 \tan (6x)+2 \sec (6x)+\text{C}

Learn more about indefinite integration here:

brainly.com/question/27805589

brainly.com/question/28155016

3 0
2 years ago
practice factoring a difference of squares. which expressions represent a perfect square monomial and its square root? check all
ohaa [14]

The perfect square monomial and its square root are shown in options 1, 2, and 5.

  • A perfect square in mathematics is an expression that factors into two equally valid expressions. A monomial is a single phrase that is made up of the product of positive integer powers of the constants, variables, and constants. Consequently, a monomial that factors into two monomials that are the same is called a perfect square monomial.
  • 1) 121, 11
  • 11² = 121
  • A perfect square monomial and its square root are represented by this equation.
  • 2) 4x², 2x
  • (2x)² = 4x²
  • A perfect square monomial and its square root are represented by this equation.
  • 3) 9x²-1, 3x-1
  • (3x-1)² = 9x²- 6x +1
  • This phrase does not depict a square monomial and its square root in perfect form.
  • 4) 25x, 5x
  • (5x)² = 25x²
  • This phrase does not depict a square monomial and its square root in perfect form.
  • 5) 49(x^4), 7x²
  • (7x²)² = 49(x^4)
  • A perfect square monomial and its square root are represented by this equation.

To learn more about monomial, visit :

brainly.com/question/9183135

#SPJ4

8 0
1 year ago
it takes noam 1 1/2 hours to walk to her friends house 2 1/4 miles away. what is her walking pace in miles per hour?
xeze [42]

1 \frac{1}{2}  \div 2 \frac{1}{4}  =  \frac{3}{2}  \times  \frac{4}{9}  =  \frac{2}{3}

Answer: 2/3 miles per hour

8 0
3 years ago
Read 2 more answers
What is the area of the trapezoid
topjm [15]

Answer:

24 in

Step-by-step explanation:

Add up all the inches. voila!

5 0
3 years ago
Read 2 more answers
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