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3 years ago

Which of the following points are in the fourth quadrant of the xy-plane? Check all that apply.

Mathematics

1 answer:

Margaret [11]3 years ago

8 0

Answer:

B and F

Step-by-step explanation:

The fourth quadrant contains a positive number for the x axis and a negative number for the y axis. (B=4,-5 and F=4,-7)

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X^2-4x+c find the value of c

Sonbull [250]

Answer:

$c = 4$

Step-by-step explanation:

Given

$x^2 - 4x + c$

Required

Find c

The question is incomplete. However, I'll assume the expression is a perfect square.

To find c, we make use of the following formula

$c = (\frac{b}{2})^2$

Where

$ax^2 + bx + c$

By comparison with $x^2 - 4x + c$

$a =1$

$b = -4$

So, $c = (\frac{b}{2})^2$ becomes

$c = (\frac{-4}{2})^2$

$c = (-2)^2$

$c = 4$

The value of c that makes the expression, $x^2 - 4x + c$ a perfect square is 4 and the expression is: $x^2 - 4x + 4$

8 0

3 years ago

WILL GIVE BRAINLEST ANSWER IF ANSWERED IN THE NEXT 24 HRS Express the complex number in trigonometric form. -5i

trasher [3.6K]

Answer:

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

Step-by-step explanation:

If a complex number is z=a+ib, then the trigonometric form of complex number is

$z=r(\cos \theta +i\sin \theta)$

where, $r=\sqrt{a^2+b^2}$ and $\tan \theta=\dfrac{b}{a}$ , $\theta$ is called the argument of z, $0\leq \theta\leq 2\pi$ .

The given complex number is -5i.

It can be rewritten as

$z=0-5i$

Here, a=0 and b=-5. $\theta$ lies in 4th quadrant.

$r=\sqrt{0^2+(-5)^2}=5$

$\tan \theta=\dfrac{-5}{0}$

$\tan \theta=\infty$

$\theta=2\pi -\dfrac{\pi}{2}$ $[\because \text{In 4th quadrant }\theta=2\pi-\theta]$

$\theta=\dfrac{3\pi}{2}$

So, the trigonometric form is

$z=5\left(\cos \left(\dfrac{3\pi}{2}\right)+i\sin \left(\dfrac{3\pi}{2}\right)\right)$

4 0

3 years ago

Read 2 more answers

Which of the following points lies on the graph of y=x^2-5?

grandymaker [24]

Answer:

(3, 4)

Step-by-step explanation:

6 0

3 years ago

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Mental math explanation

Allushta [10]

Mental math is something that can be done i your head.

for example you can do 1+1 in your head and you dont need a calculator or paper to do it so i would be called mental math

Hope this helps

remember if you ever need anything and you dont want to waste points you can just post it on my pfp or message me the question

7 0

3 years ago

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Fill in the blank 31+____=61

saveliy_v [14]

31 plus 30 equals to 61

6 0

4 years ago

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