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Dafna11 [192]
3 years ago
7

How do you solve: secx=-5/2, tanx<0 Find all six trig functions

Mathematics
1 answer:
Brut [27]3 years ago
5 0

Answer:

sec theta = (sqrt24/5) cos theta = -2/5 tan theta = (-[sqrt 21]/2) sec theta = 5/2 csc theta = (5sqrt21)/21 cot theta = (-2sqrt21)/21

Step-by-step explanation:

During the problem, secx = -5/2, we can assume that as cos = -2/5. -2 = x. 5 = r. find for Y with: x^2+y^2=r^2. After that, plug in for the variables and you get all the answers. Rationalize the square roots, don't forget.

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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
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Lamar is considering two loans.
Varvara68 [4.7K]

Answer:

a.

Loan I's increase was 0.03 percentage points greater than Loan H's

8 0
4 years ago
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How do you find the area of a parallelogram
yKpoI14uk [10]
A=B H 

area equals the base times the height 


4 0
4 years ago
Of the students attending a rock concert, 80 of them were 8th graders. Of these 8th graders, 25% of them were wearing ear plugs.
zhuklara [117]

Answer:

15%

Step-by-step explanation:

If 10% of the 25% of 8th graders who were male, 15% would be females because 25-10= 15. So, 15% would be my answer.

6 0
2 years ago
Find the following when a = -1, b = 2, c = -1/4<br> (4b - 3)/(2a) -1
Katena32 [7]
We substitute the given into the equation
given: a=-1, b=2, c=\frac{-1}{4}
=(\frac{4b-3}{2a}-1
=\frac{4(2)-3}{2(-1)}-1
=\frac{8-3}{-2}-1
=\frac{5}{-2}-1
to continue, we can either find a common denominator or change the fraction to decimal.
Fraction to Decimal:
\frac{5}{-2}=-2.5
Equation=-2.5-1=-3.5
OR Common Denominator:
=\frac{5}{-2}\frac{-1}{1}×\frac{-2}{-2}         (denominator should be -2=common)
=\frac{5}{-2}+\frac{2}{-2}
=\frac{7}{-2}
which also = to -3.5
3 0
3 years ago
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