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3 years ago

What is the correct definition for sec theta ?

Mathematics

1 answer:

lutik1710 [3]3 years ago

7 0

Sec Ф=1/cos Ф=cos⁻¹Ф

correct answers: a. sec Ф=cos⁻¹Ф and d. sec Ф=1/ cos Ф

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A: What are the solutions to the quadratic equation x2+9=0? B: What is the factored form of the quadratic expression x2+9? Selec

Paraphin [41]

Answer:

A. The solutions are $x=3i,\:x=-3i$ .

B. The factored form of the quadratic expression $x^2+9=(x-3i)(x+3i)$

Step-by-step explanation:

A. To find the solutions to the quadratic equation $x^2+9=0$ you must:

$\mathrm{Subtract\:}9\mathrm{\:from\:both\:sides}\\\\x^2+9-9=0-9\\\\\mathrm{Simplify}\\\\x^2=-9\\\\\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}\\\\x=\sqrt{-9},\:x=-\sqrt{-9}$

$x=\sqrt{-9} = \sqrt{-1}\sqrt{9}=\sqrt{9}i=3i\\\\x=-\sqrt{-9}=-\sqrt{-1}\sqrt{9}=-\sqrt{9}i=-3i$

The solutions are:

$x=3i,\:x=-3i$

B. Two expressions are equivalent to each other if they represent the same value no matter which values we choose for the variables.

To factor $x^2+9$ :

First, multiply the constant in the polynomial by $i^2$ where $i^2$ is equal to -1.

$x^2+9i^2$

Since both terms are perfect squares, factor using the difference of squares formula

$a^2-i^2=(a+i)(a-i)$

$x^2+9=x^2+9i^2=\left(-3i+x\right)\left(3i+x\right)$

5 0

3 years ago

Consider the equation 5x-2y=3. If possible, find a second linear equation to create a system of equations that has: Exactly one

nekit [7.7K]

A) One solution: 5x +2y = 0 . . . . (any line with a different slope)

b) Two solutions: not possible

c) No solutions: 5x -2y = 0 . . . . (any different line with the same slope)

d) Infinitely many solutions: 10x -4y = 6 . . . . (any other equation for the same line)

4 0

3 years ago

Read 2 more answers

What is the value of x?

Lunna [17]

Answer:

x = 23 degrees

Step-by-step explanation:

sin theta = opposite side/ hypotenuse

sin x= 9/23

Take the arcsin of each side

arcsin( sinx) = arcsin (9/23)

x = arcsin (9/23)

x=23.03568411

Rounding to the nearest degree

x = 23 degrees

4 0

3 years ago

Pleaaaaaaase help me!! :)

Paul [167]

Hello there, and thank you for posting your question here on brainly.

<em>Short answer: 25.48 x 10^4
</em>
Why?

This equation has a few steps. Simplify the brackets. (2.8 x 10^-2)*(9.1 x 10^6) --> 2.8 x 10^-2 * 9.1 x 10^6 Simplify. (or multiply the two decimals) 2.8 x 10^-2 * 9.1 x 10^6 --> 25.48 x 10^-2 x 10^6 Use the <em>product rule. </em>(the formula is x^y x^z = x^ y+z) 25.48 x 10^-2 x 10^6 --> 25.48 x 10^4

Hope this helped you! ♥

5 0

3 years ago

A drawing has a magnification of 25cm. The actual size of the specimen is 5cm. What is the size of the image?

elena-s [515]

Answer: it is 5 times bigger

Step-by-step explanation:

8 0

3 years ago