In which quadrant is the number -14 – 5i located on the complex plane? a.I b.II C.III D IV​

Answers

Answer 1
Answer: I believe It’s c.III (quadrant 3)

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Rewrite the equation by completing the square.
4x2 + 28x + 49 = 0
(x+) =

Answers

Answer: x = - 3.5

Step-by-step explanation:

Rewrite the equation by completing the square.

4x2 + 28x + 49 = 0

Completing the square method :

Divide through by the Coefficient of x^2

x^2 + 7x + (49/4) = 0

a = 1, b = 7, c = 49/4

Move c to the right side of the equation

x^2 + 7x = - 49/4

Complete the square on the left hand side by squaring its half of the x term

(7/2)^2 = (49/4)

Add the output to both sides of the equation

x^2 + 7x + (49/4) = - (49/4) + (49/4)

(x + 7/2)^2 = 0

Square root of both sides

x + 7/2 = 0

x = - 7/2

x = - 3.5

Answer:

x = - 3.5

Step-by-step explanation:

Use the unit circle to find the value of cot (–270°). Question 3 options: cot (–270°) = 1 cot (–270°) = –1 cot (–270°) = 0 undefinedQuestion 3 options:

cot (–270°) = 1

cot (–270°) = –1

cot (–270°) = 0

undefined

Answers

Answer:

cot(-270) = 0

Step-by-step explanation:

given cot ( -270)

In trigonometry function we will use cot ( -x) = -cotx

so cot (-270) = - cot270

trigonometry table

          II quadrant                                I quadrant ( All positive)                                                                              

 sin θ            90+θ                                                    90 -θ

 cosec θ     180-θ                                                   360+θ

            third quadrant                                fourth quadrant

 tan θ            180+θ                                       cos θ          270+θ

 cot θ       270 - θ                                          sec θ       360-θ                                    

Given

cot (-270) = -cot ( 270)

                = - cot ( 180 + 90) (third quadrant above table)

                = -cot 90 =0 ( cot θ positive in third quadrant

Final answer:-

cot(-270) =0

Final answer:

The value of cot(−270°) is undefined because it involves a division by zero, as its calculation is based on the cosine and sine values at −270° on the unit circle, which are 0 and 1, respectively.

Explanation:

To find the value of cot (−270°), we need to understand where −270° places us on the unit circle. A full circle is 360°, so starting at the positive x-axis and moving clockwise (since the angle is negative), we move 270° to end up at the positive y-axis. The cotangent function is the ratio of the adjacent side to the opposite side in a right triangle, or the cosine divided by the sine.

At −270° (or 270° in the positive, counter-clockwise direction), the coordinate on the unit circle is (0, 1). The sine of −270° is the y-coordinate (which is 1), and the cosine of −270° is the x-coordinate (which is 0). Therefore, cot (−270°) = cos (−270°) / sin (−270°) = 0/1. Since division by zero is undefined, cot (−270°) is undefined.

Learn more about Cotangent Function here:

brainly.com/question/12635340

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The following question references the novel Jane Eyre by Charlotte Bronte.How does Jane gain financial independence?
a. Her uncle leaves her 20 thousand pounds
c. She write a book that is published
b. Parent's from the school reward her for her work
Please select the best answer from the choices provided

Answers

The answer is:

A: Her uncle leaves her 20,000 pounds

Her uncle leaves her 20 thousand pounds yet she gives 15 thousand pounds to her cousins the Rivers.

you are lying 120 feet away from a tree that is 50 feet tall you look up at the top of the tree apart a proximately how far is your head from the top of the tree in a straight line

Answers

pythagoren theorem

your distance from tree is bottom leg
height of tree is height leg

a^2+b^2=c^2
a and b ar legs,
c=hypotnuse=distance from head to treee

50^2+120^2=c^2
2500+14400=c^2
16900=c^2
sqrt both sides
130=c^2
you are 130 feet away

Jean needs to graph the function below y= 7x^2 + 8x - 6
How many time should the graph of this function intersect at the x-axis?

A. 3
B. 2
C. 1
D. 0

Answers

Hello,

Δ=8²-4*7*(-6)=232>0 thus 2 roots
Answer B

If we divide the polynomial x4 + 4x3 + 2x2 + x + 4 by x2 + 3x, what will be the remainder?

Answers

x^4+4x^3+2x^2+x+4 = Q(x)\cdot (x^2+3x)+ax+b,\;we\;need\;to\;find\;a,\;and\;b;\n\nx^4+4x^3+2x^2+x+4 = Q(x)\cdot x\cdot (x+3)+ax+b

If you choose x = 0, then we have 4 = Q(0)*0 + a*0 + b, therefore b = 4.

If we choose x = -3, then we have:

(-3)^4+4\cdot (-3)^3+2 \cdot (-3)^2-3+4 = Q(-3)\cdot (-3)\cdot (-3+3)-3a+4\Rightarrow 81-108+18+1=4-3a,\;or\;-12=-3a,\;so\;a=4.

The remainder is: 4x+4.

Green eyes.