Find the solution set of the quadratic equation over the set of complex numbers.
5x2 + 8x + 4 = 0
1+1
A)
x=-1- or -1
-
B)
X
4 2i
or
5
4
5
+
2i
5
2
5
C)
6i
5
or
2
5
+
61
5
1
3i
1
4
D)
31 or
+
4.

Answer:

IT'S (x+9)(x-9)

Step-by-step explanation:

Answer:

Yes it is

Step-by-step explanation:

Because 4 ×-2=-8

Answer:

Lines of latitude run in horizontal parallels and represent distance north or south from the equator, measured in an angle from the centre of the Earth. The equator represents 0° and each pole represents 90°

Step-by-step explanation:

Answer: Hope This Helps!

Step-by-step explanation:

Use the sight line on the top of the aiming beam to align the beam with the North Star. Use the protractor to measure the angle between the beam and the horizon (which is 90º to the plumb line). This angle is your latitude.

Answer: [tex]y=8x-25[/tex]

Step-by-step explanation:

Given

Line passes through [tex](3,-1)\ \text{ and}\ (4,7)[/tex]

Equation of line when it passes through two points [tex](x_1,y_1),(x_2,y_2)[/tex]

[tex]\Rightarrow \dfrac{y_2-y_1}{x_2-x_1}=\dfrac{y-y_1}{x-x_1}[/tex]

Insert the values

[tex]\Rightarrow \dfrac{7+1}{4-3}=\dfrac{y+1}{x-3}\\\\\Rightarrow \dfrac{8}{1}=\dfrac{y+1}{x-3}\\\\\Rightarrow 8x-24=y+1\\\Rightarrow y=8x-25[/tex]  

Answer:

8x-25

Step-by-step explanation:

:O thats ez

Answer:

48 m^2

Step-by-step explanation:

Since this is a parallelogram, you can think of it as taking the triangle off of the left side and reattaching it on the right side to make a rectangle. After you visualize it as a rectangle, you just have to multiply 8 by 6 to get 48 meters squared.

Answer:

64

Step-by-step explanation:

add them all up firstly to get 701

then divide by how many are there (11)

then you will get 63.72

and you need to round up since the decimal is a 7

which that gives you 64

Answer:

lenth = x= 12cm

Breadth = y = 8cm

Step-by-step explanation:

Given :

The length of a rectangle is 4 cm more than its width

The area of the rectangle is 96 cm²

To Find :

Width of the rectangle.

Solution :

Let the length of the rectangle be x cm.

Let the breadth of the rectangle be y cm.

Case 1:

➣

➣  _____(1)

Case 2 :

We have the formula for area of the rectangle as follows :

Where,

l = length → x cm

b = breadth → y cm.

➣

➣

Substitute, x = 96/y in equation 1,

➣

➣

➣

➣

➣

Divide by minus sign,

➣

➣

➣

➣

➣

➣

➣

As per assumption, y = breadth of the rectangle.

•°• y = -12 is not acceptable.

Substitute, y = 8 in equation 1,

➣

➣

➣

➣

Answer:

19/25 = x/100

Cross multiply:

1,900

Divide 1,900 by 25

Equals 76

Subtract 76 from 100

Answer: 24% change

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

C = 25 + 3n

Step-by-step explanation:

Andre has a summer job selling magazine subscriptions.

We are told that:

Andy earns $25 per week plus $3 for every subscription he sells.

Let us represent

C = Total amount of money he makes this week

n = the number of magazine subscriptions Andre sells this week.

Hence, Our Algebraic expression =

C = $25 + $3 × n

C = 25 + 3n

Answer:

(x-2) (x+2)

Step-by-step explanation:

------------------

Answer:

False

Step-by-step explanation: 5x3 is 15 and 25 is greater than 15 so the inequality is false.

Answer:

A

Step-by-step explanation:

∠4 and ∠8 are corresponding angles

corresponding angles are congruent ( equal to each other )

so if ∠4 = 100° then ∠8 also equals 100°

Answer:

A

Step-by-step explanation:

8 is equal to 4(100) because it is corresponding angle, corresponding angle are equal to each other...If 4 is 100 then 8 will be 100

Answer:

thats about like ummm 69?

Step-by-step explanation:

Answer:

[tex]a=12\text{ or } -4[/tex]

Step-by-step explanation:

The distance formula is given by:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]

We are given the two points (4, -1) and (a, 5). The distance between them is 10.

Let (4, -1) be (x₁, y₁) and let (a, 5) be (x₂, y₂). Substitute:

[tex]10=\sqrt{(a-4)^2+(5-(-1))^2}[/tex]

Solve for a. Square both sides and simplify:

[tex]100=(a-4)^2+(6)^2[/tex]

Simplify:

[tex]64=(a-4)^2[/tex]

Take the square root of both sides. Since we are taking an even root, we will need plus/minus. Hence:

[tex]\pm\sqrt{64}=\pm8=a-4[/tex]

Solve for a:

[tex]a-4=8\Rightarrow a=12\text{ or } a-4=-8\Rightarrow a=-4[/tex]

So, our two possible points are (12, 5) or (-4, 5).

Answer:

Uh, sure! :)

Step-by-step explanation:

Answer:

x = 30

Step-by-step explanation:

correct me if i am wrong but i think you have to

a.) change the denominator's to be the same :

ten is a common denominator therefore you times the second expression by two ( x/5 becomes 2x/10 )

b.) put the formula back together :

3x/10 + 2x/10 = 15

5x/10 = 15

5x = 150

x = 30

Answer:

x=44 and y=21

Step-by-step explanation:

The large one is x

The small one is y

According to given conditions,

x+y=65[Sum of two number is 65]—Equation(1)

x-23=y [Smaller number is less than 23 than larger]——Equation (2)

From equation (2) we can write,

x-y=23——-Equation(3)

Now adding equation (1) and (3) we get,

x+y+x-y=65+23

=>2x=88

=>2x/2=88/2 [Both sides are divided by 2]

=>x=44

Now putting the values in equation (2) we get,

44–23=y

=>y=21

Large, x=44 and Small, y=21

1 km = 1000 meters.

Find total meters: 80 km x 1000 meters per km = 80,000 meters.

Divide total meters by the given speed:

80,000 meters / 180 m/s = 444.44 seconds.

1 minute = 60 seconds

444.44. Seconds / 60 seconds per minute = 7.41 minutes = 7 minutes 24.42 seconds

Total time = 7 minutes 24.42 seconds

Round as needed.

Answer:

they look like their curved at about  70? 65? and they would be the same

Step-by-step explanation:

Answer: Both C and D are 76

Step-by-step explanation:

Because this is a isosceles triangle both C and D are the same. Subtract 28 from 180 and you get 152. So D and C combined equals to 152 so divide that by 2 an you get 76.

An apple, potato, and onion all taste the same if you eat them with your nose plugged

Answer:

A. y ≥ 2x – 2

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

[tex] - 2 + 4 = 2[/tex]

Answer:

146

Step-by-step explanation:

angle AB is an inscribed angle and arc AB is it's intercepted arc

An inscribed angle is equal to half the measure of its intercepted arc

Which means that an intercepted arc is equal to two times the measure of its corresponding inscribed angle

Thus, arc ab = 2(73)

2 * 73 = 146

hence, arc AB = 146

Answer:

mAB = 146°

Step-by-step explanation:

We can notice that the angle given is an inscribed angle and an inscribed angle is 1/2 the arc it intercepts. We can set up an equation to model the situation:

73° = 1/2(mAB)

mAB = 146°

Answer:

x ={-3, -4, -5 , -6, -7, ...}

Answer:

485.10

Step-by-step explanation:

Answer:

the answer would basically be 720 smoothies in total from Jul.-Dec.

Step-by-step explanation:

YWW :)

Answer:

x= 8/9

Step-by-step explanation:

You must divide 8/21 & 3/7 As a fraction.

Answer:

32.9 degrees

Step-by-step explanation:

cos (x) = 21/25

cos^1 (21/25)

= 32.856 --> round to 32.9

Answer:

32.9°

Step-by-step explanation:

You can see that relative to the angle that is x, we are given the side lengths that are adjacent and the hypotenuse. The trig function associated with this is cosine, and we get:

cos(x) = adj / hyp --> 21 / 25

To find x as the angle, we use the function arccosine,

x = arccosine(21/25)

x = 32.85988038°

And this rounds up to 32.9°