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Karo-lina-s [1.5K]

3 years ago

10

PERIODIC FUNCTIONS AND TRIGONOMETRY FOR 25 POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!

1 answer:

Airida [17]3 years ago

7 0

The sine increases from 0 to 90 degrees and from 270 to 360 degrees
The sine decreases from 90 to 270 degrees

The cosine increases from 180 to 360 degrees
The cosine decreases from 0 to 180 degrees

Sine = 0 at 0 and 180 degrees

Cosine = 0 at 90 and 270 degrees

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Find the discriminant, and determine the number of real solutions. then solve x^2 +8x+20=0

vodomira [7]

Answer:

Part 1) The quadratic equation has zero real solutions

Part 2) The solutions are

$x_1=-4+2i$ and $x_2=-4-2i$

Step-by-step explanation:

we know that

The formula to solve a quadratic equation of the form $ax^{2} +bx+c=0$ is equal to

$x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}$

in this problem we have

$x^{2}+8x+20=0$

so

$a=1\\b=8\\c=20$

The discriminant is equal to

$D=(b^{2}-4ac)$

If D=0 -----> the quadratic equation has only one real solution

If D>0 -----> the quadratic equation has two real solutions

If D<0 -----> the quadratic equation has two complex solutions

<em>Find the value of D</em>

$D=8^{2}-4(1)(20)=-16$ -----> the quadratic equation has two complex solutions

<em>Find out the solutions</em>

substitute the values of a,b and c in the formula

$x=\frac{-8(+/-)\sqrt{8^{2}-4(1)(20)}} {2(1)}$

$x=\frac{-8(+/-)\sqrt{-16}} {2}$

Remember that

$i=\sqrt{-1}$

$x=\frac{-8(+/-)4i} {2}$

$x_1=\frac{-8(+)4i} {2}=-4+2i$

$x_2=\frac{-8(-)4i} {2}=-4-2i$

8 0

3 years ago

Evaluate the expression using the distributive property 8(7+7)

MrRissso [65]

Answer: 112

Step-by-step explanation:

Following PEMDAS, we need to add the numbers in the parenthesis first

8(7+7) becomes 8(14)

Now we just multiply 8 and 14

8(14) = 112

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The answer is 61.75 because you have to do base times height then divide that answer by two

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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