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2 years ago

How do you factor x^4 - 5x^2 + 4?

1 answer:

8 0

(x+2)(x−2)(x+1)(x−1)=0 true. x=−2,2,−1,1

hope this helps

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Calculate the simple interest on a loan of $9000 at an interest rate of 8% for 6 years? PLEASE HELP MEEE

andre [41]

Answer:

4320

Step-by-step explanation:

8 0

2 years ago

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HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

4 0

3 years ago

What is the coefficient of q (2/3q-3/4) and -1/6q-r)

kirza4 [7]

The coefficient in (2/3q-3/4) is 2/3 and in (-1/6q-r) is -1/6

4 0

3 years ago

Write an equation the nth term of the arithmetic sequence -5,0,5,10 then find a10

Monica [59]

Step-by-step explanation:

a(n) = a +(n-1)d

a=-5

d=5

a(n) = -5 +(n-1)5

=-5+5n-5

=5n-10

a(50) = -5 +(50-1)5

= 240

hope this helps

8 0

2 years ago

You throw a ball at a height of 5 feet above the ground. The height h (in feet)

Serjik [45]

Answer:

Step-by-step explanation:

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3 years ago