What is the distance between z1 = 5 - 2i and z2 = 8 + i?

3√2
13.3
2√3
18

Answer:

17xn

Step-by-step explanation:

Answer:

18/30

Step-by-step explanation:

He has been out of town 18 out of the 30 days. You can simplify this to 6/10.

Answer:

X could be any number from 1-6

Step-by-step explanation:

Because 2 multiplied by 1-6 equals a number lower than 16

Answer:

1000 meters³

Step-by-step explanation:

20 x 10 x 5 = 1000

the units are in meters and you are measuring the volume so the units is meters³

Volume of rectangular prism is 1000 [tex]m^{3}[/tex]

1000 [tex]m^{3}[/tex] of water can a bath tub hold.

"A rectangular prism can be defined as a 3-dimensional solid shape which has six faces that are rectangles. A rectangular prism is also a cuboid."

Given

Length of a bath tub = 20 m

Width of a bath tub = 10 m

Height of a bath tub = 5 m

Formula to find the volume of the rectangular prism

Volume of the rectangular prism = length × width × height

= 20 × 10 × 5

=200 × 5

V = 1000 [tex]m^{3}[/tex]

Volume of the rectangular prism = 1000 [tex]m^{3}[/tex]

Hence, Volume of rectangular prism is 1000 [tex]m^{3}[/tex]

1000 [tex]m^{3}[/tex] of water can a bath tub hold.

Learn more about rectangular prism here

https://brainly.com/question/16154580

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Answer:

I think it's (-13,0)

Step-by-step explanation:

4x - 3y > 9

3y - 9 =x

y=-13

(-13,0)

Plz forgive me if i did that wrong I did try lol

0.0375 did you mean 80÷3 if so 26.6

Answer:

girlfriend

Step-by-step explanation:

Answer:

y=-2/5x+3

You subtract 2/5x from both Sides to get your answer

Answer:

Equals means a person or thing considered to be the same as another in status or quality.

Or the mathmatic term is be the same as in number or amount.

Answer:

1  7 /25

Step-by-step explanation:

bc i did the math

Answer:

32/25

& Ig it's just cause math says so. I mean 24/25 then 3/4 then that divided by it

Step-by-step explanation:

Answer:

The first one is d: x=0 or x=6

the second one is the 3rd one

Step-by-step explanation:

The roots of the quadratic equation will be -

{x} = (1 ± i√29)/5

Given is the quadratic equation as -

5x² - 2x + 6 = 0

We can write the roots as -

{x} = {- b ± √(b² - 4ac)/2a}

{x} = (2 ± √-116)/10

{x} = (2 ± i 2√29)/10

{x} = 2(1 ± i√29)/10

{x} = (1 ± i√29)/5

Therefore, the roots of the quadratic equation will be -

{x} = (1 ± i√29)/5

To solve more questions on quadratic equations, visit the link below -

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Answer:

$130/4

Step-by-step explanation:

Step-by-step explanation:

Let second side = x

First side = 3+x

Third side = 3(3+x) = 9 +3x

The perimeter of a triangle = 25 cm

Perimeter = sum of all sides

So,

x + 3 + x + 9 +3x = 25

12 + 5x = 25

5x = 13

x = 2.6 cm

First side = 3 + x = 5.6 cm

Second side = x = 2.6 cm

Third side = 9+3(2.6) = 16.8 cm

Answer:

Against the direction of the wind is [tex]x-10=35-10=25\ \text{mph}[/tex] and with the wind is [tex]x+10=35+10=45\ \text{mph}[/tex]

Step-by-step explanation:

Let x be the speed of the hawk in still air

The speed of the wind is 10 mph

So speed of the hawk when flying against the wind is [tex]x-10[/tex] and with the wind is [tex]x+10[/tex].

Distance the hawk travels when going against the wind is 50 miles and going with the wind is 90 miles

The hawk covers the above mentioned distances in the same amount of time.

[tex]\text{Time}=\dfrac{\text{Distance}}{\text{Speed}}[/tex]

[tex]\dfrac{50}{x-10}=\dfrac{90}{x+10}\\\Rightarrow \dfrac{50}{x-10}-\dfrac{90}{x+10}=0\\\Rightarrow \dfrac{50(x+10)-90(x-10)}{x^2-100}=0\\\Rightarrow 50x+500-90x+900=0\\\Rightarrow -40x+1400=0\\\Rightarrow x=\dfrac{1400}{40}\\\Rightarrow x=35\ \text{mph}[/tex]

The speed of the hawk in still air is 35 mph.

Speed of the hawk against the direction of the wind is [tex]x-10=35-10=25\ \text{mph}[/tex] and with the wind is [tex]x+10=35+10=45\ \text{mph}[/tex].

Answer:

a)  P(X > 50.2) = 0.90

b) P(50.3 < X < 50.8) = 0.25

c) P(X+Y >29) = 0.9167

Step-by-step explanation:

From the given information:

[tex]f(x) = \dfrac{1}{b-a} \ \ \ \ a<x<b[/tex]

[tex]f(x) = \dfrac{1}{52.0-50.0} \ \ \ \ 50.0<x<52.0[/tex]

[tex]f(x) = \dfrac{1}{2} \ \ \ \ 50.0<x<52.0[/tex]

a)

Let X be the random variable that follows a uniform distribution.

Such that [tex]X \sim U (50.0, 52.0)[/tex]

where;

a = 50

b = 52

[tex]P(X> 50.2) = \dfrac{b - x}{b-a}[/tex]

[tex]P(X> 50.2) = \dfrac{52 - 50.2}{52-50}[/tex]

[tex]P(X> 50.2) = \dfrac{1.8}{2.0}[/tex]

P(X > 50.2) = 0.90

b.)

To find the probability that the class length is between 50.3 and 50.8 min.

i.e.

[tex]P(50.3 <X<50.8) = \dfrac{(X_2-X_1)}{(b-a)}[/tex]

[tex]P(50.3 <X<50.8) = \dfrac{(50.8-50.3)}{(52-50)}[/tex]

[tex]P(50.3 <X<50.8) = \dfrac{(0.5)}{(2)}[/tex]

P(50.3 < X < 50.8) = 0.25

c)

Given that:

the interval = (101,16)

The probability that the sum of 2 independent observations of X is greater than 29 can be computed as follows.

here;

[tex]c = \dfrac{a+b}{2}[/tex]

where;

a = 10*2 = 20

b = 16*2 = 32

[tex]c = \dfrac{20+32}{2}[/tex]

c = 52/2

c =26

The required probability:

[tex]P(X+Y >29) = 1 - \dfrac{(b-x)\times 2}{(b-a) \times (b - c)}[/tex]

[tex]P(X+Y >29) = 1 - \dfrac{(32-29)\times 2}{(32-20) \times (32 - 26)}[/tex]

[tex]P(X+Y >29) = 1 - \dfrac{(3)\times 2}{(12) \times (6)}[/tex]

[tex]P(X+Y >29) = 1 - \dfrac{6}{72}[/tex]

P(X+Y >29) = 1 - 0.0833

P(X+Y >29) = 0.9167

Answer:

4

Step-by-step explanation:

slope = dy/dx

We can see a dy (delta y) of 4 together with a dx of 1. In other words, when you step 1 to the right, you go up 4.

Answer:

the slope is-- 4/1 and the y intercept is where the line touches the vertical line. sorry the picture in not clear,so i could not see the number

Step-by-step explanation:

Answer:

19

Step-by-step explanation:

20% of 95 is 19 :)

Answer:

Answer is 74 square units

Step-by-step explanation:

I took the quiz.

Answer:

 A

Step-by-step explanation:

Answer:

i wish i could help so sorry

Step-by-step explanation:

Answer: y(x) = (2/3)*(x + 1)^(3/2) + 1/3.

Step-by-step explanation:

We have the differential equation:

2*y'(x)*y''(x) = 1.

y(0) = 2

y'(0) = 1.

I will use the change:

u = y'

u'= y''

Then we must solve:

2*u*u' = 1.

The product does not depend on x:

u*u' = 1/2.

By looking at the problem, i know that the functions must be something like:

u = a*(x + b)^n

Where a and b are real numbers.

u' = n*a*(x + b)^(n - 1)

such that:

(x + b)^n*(x + b)^(n - 1) does not depend on x

This means that:

(x + b)^n*(x + b)^(n - 1)  = (x + b)^(n + n - 1) = 0

n + n - 1 = 0

2n = 1

n = 1/2

Then:

u = a*(x + b)^(1/2)

u' = (a/2)*(x + b)^(-1/2)

The differential equation becomes:

u*u' = 1/2

a*(x + b)^(1/2)* (a/2)*(x + b)^(-1/2) = 1/2

(1/2)*a^2 = 1/2

a^2 = 1.

And by the initial conditions, we have:

y'(0) = u(0) = 1

then:

u(0) = a*(0 + b)^(1/2) = a*b^(1/2) = 1

now, if a = -1, then b^(1/2) must be negative, this can not really be then we must have:

a = 1

u(0) = 1*b^(1/2) = 1

then b = 1.

u(x) = (x + 1)^(1/2).

And remember that y'(x) = u(x).

Then we need to integrate u(x) over x.

let's use the change of variables:

w = x +  1

dw = dx

Then the integration of u(x) is:

y(w) = ∫(w)^(1/2)dw = (2/3)*w^(3/2) + c

where c is a constant of integration.

now we can go back to x:

y(x) = (2/3)*(x + 1)^(3/2) + c

And we know that:

y(0) = 1 = (2/3)*(0 + 1)^(3/2) + c

         1 = (2/3)*1 + c

1 - 2/3 = c

     1/3 = c

Then:

y(x) = (2/3)*(x + 1)^(3/2) + 1/3.

Answer:

D: Jordy used a criterion that does not guarantee congruence.

Step-by-step explanation:

Looking at the various steps, in step five, it says;

ΔABE ≈ ΔBCD

The reason for that is given as;

Angle - Angle - Angle congruence

Now, in test for congruence, we use any of the following criteria;

SSS: Side - Side - Side

SAS: Side - Angle - Side

ASA: Angle - Side - Angle

AAS: Angle - Angle - Side

RHS: Right angle - Hypotenuse - Side

Now, AAA was used and it's not part of the criteria to be used for congruence.

AAA is not used because it's possible for 3 angles to be equal and yet the triangles not congruent.

Thus, we can conclude that Jordy used a criterion that does not guarantee congruence.

Answer: Jordy used a criterion that does not guarentee congruence

Step-by-step explanation: Khan Academy

Answer:

4 is your answer :) yayy

Answer: Your answer is 4

Step-by-step explanation: If you have 2 blocks, and someone gives you 2 more, you now have 4 blocks in total. Hoped this helped you. Have a wonderful day!!!

Answer:

Rise/Run= 1/2

Step-by-step explanation:

Answer:

+) m∠1 = m∠2 (vertical angles theorem)

+) m∠2 and ∠3 are supplementary (because a//b)

+)m∠3 = m∠4 (alternate interior angles theorem, c//d)

=> ∠1 and ∠4 are supplementary (substitution property of equality)

Step-by-step explanation:

Answer: 14

Step-by-step explanation: the area is found by base x height. the area is 1/2 and the base is 3/4.  so what we wanna do is 4/3 x 21/2 which gets us our answer, 14.