Find the distance between 5 + 4i and 9 + 3i.​

Answers

Answer 1

Answer:

Distance = √17

Step-by-step explanation:

We are looking for the distance between 5 + 4i and 9 + 3i.

This is as equal to saying we have two points in the plane, whose coordinates are; (5, 4) and (9, 3)

Distance between the 2 points will be;

D = √[(5 - 9)² + (4 - 3)²]

D = √(16 + 1)

D = √17


Related Questions

6(3x - 2) = 18x + 6
I’m confusion please help

Answers

Step-by-step explanation:

6(3x-2)=18x+6

18x-12=18x+2

18x-18x=2-12

0 =-10

0

Answer:

This equation does not exist.

3x−8−12x=42
what is x?

Answers

Answer:

x = -50/9    

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define equation

3x - 8 - 12x = 42

Step 2: Solve for x

Combine like terms:                    -9x - 8 = 42Isolate x term:                              -9x = 50Isolate x:                                        x = -50/9          

Find the value of x
(8x-1) (4x+7)

Answers

Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

Right angle = 90°α = (4x+7)°β =  (8x-1)°

We know that the sum of angles of a triangle is 180°.

so

Right angle + α + β =  180°

90° + 4x+7 + 8x-1 = 180

Group like terms

[tex]4x+8x+90+7-1=180[/tex]

Add similar elements: :4x+8x=12x

[tex]12x+90+7-1=180[/tex]

[tex]12x+96=180[/tex]

[tex]12x=84[/tex]

Divide both sides by 12

[tex]\frac{12x}{12}=\frac{84}{12}[/tex]

[tex]x = 7[/tex]

Therefore, the value of x = 7

Line m has a slope of -3. Another line n is parallel to line m. What is the slope of line n?

Answers

Answer:   slope of line n = -3

Reason: Parallel lines have equal slopes, but different y intercepts.

Divide,
7)16.52 -

PLEASE ANSWER QUICK

Answers

Answer:

0.42347247428

Step-by-step explanation:

my calcuator

7/16.52

Answer:

9.52

hope it helpsssssssssssssss

marking brainliest to whoever gives me the write answer

Answers

The page is black. Try reposting please
I would like brainliest please because the answer is a black screen

Write an equation of the line that passes through (-4, -1) and is perpendicular to the line y= 4/3x+6.

y=

Answers

Answer:

y = (-3/4)x - 4

Step-by-step explanation:

The slopes of perpendicular lines are opposite reciprocals of each other. In other words, if the slope of one line is a/b, then the slope of the line perpendicular to it would be -b/a.

Here, the given slope is 4/3, so the slope of the perpendicular line is -3/4.

We are given a point (-4, -1) and we know the slope, so we can find the point-slope form of the line. Point-slope form is written as y - y1 = m(x - x1), where (x1,y1) is the point and m is the slope. Here, x1 = -4 and y1 = -1 and m = -3/4. So:

y - y1 = m(x - x1)

y - (-1) = (-3/4) * (x - (-4)) = (-3/4) * (x + 4)

y + 1 = (-3/4)x + (-3/4) * 4 = (-3/4)x - 3

y = (-3/4)x - 3 - 1

y = (-3/4)x - 4

Please help me........

Answers

Answer:

C

Step-by-step explanation:

subtract

write two numbers that multiply to the value on top and add to the value on the bottom.

Answers

Answer:

1 and 19

Step-by-step explanation:

I believe this is a factoring problem.

Example:

If we have the equation x^2-2x-3

We can find two numbers that multiply to -3 that add to -2

The two numbers are -3 and 1

(x-3)(x+1)= So x=3 and x=1

Answer:

1 and 19

Explanation:

1x19=19

1+19=20

(ABCD) = (A'B'C'D'). If A is (6, −8), A' is (−2, 4), and B is (4, −6), what are the coordinates of B'?

Answers

Answer: (6, 6)

In this problem the point is moved over 2 up and 2 to the right form A to A'

The coordinates of B' are (-4, 6).

What is translation?

A translation is a geometric change in Euclidean geometry that involves moving each point in a figure, shape, or space by the same amount in one direction. A translation may alternatively be thought of as moving the origin of the coordinate system or as adding a constant vector to each point.

Since (ABCD) = (A'B'C'D'), we know that corresponding points in the two quadrilaterals have equal coordinates.

Therefore, we can use the coordinates of A and A' to find the translation vector that takes A to A'.

We can then apply this same vector to B to find its image B'.

The translation vector that takes A to A' is given by the difference A' - A:

A' - A = (-2, 4) - (6, -8) = (-8, 12)

So, the same translation vector takes B to B', and we have:

B' = B + (-8, 12) = (4, -6) + (-8, 12) = (-4, 6)

Therefore, the coordinates of B' are (-4, 6).

To learn more about translation in geometry;

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What is X in feet

X= Ft

Answers

Answer:

x = 26ft

Step-by-step explanation:

[tex]A^{2}[/tex] + [tex]B^{2}[/tex] = [tex]C^{2}[/tex]

[tex]10^{2}[/tex] + [tex]24^{2}[/tex] = 676

[tex]\sqrt{676}[/tex] = 26

Which ordered pair gives a solution of the system of equations represented in the graph below?

Answers

Answer:

b

Step-by-step explanation:

The answer is b I believe

Your welcome:)

If a certain medicine cures 85% of the people who take it,what is the probability that, if 6 people take the medicine, exactly 4 will be cured?

Answers

Answer:

if 6 people take the medicine, around 5 people will get cured if the cure probability is 85%.

Step-by-step explanation:

Given that a certain medicine cures 85% of the people who take it.

As 6 people take the medicine, we need to determine how many will be cured.

As

85% = 85/100 = 0.85

All we need is to multiply 6 with 0.85.

i.e. 6 × 0.85 = 5 (Rounded to the nearest 1 or  the Ones Place)

Thus, if 6 people take the medicine, around 5 people will get cured if the cure probability is 85%.

Find the x-value for point C such that AC and BC from a 2:3 ratio.

Answers

Given:

Point C divides AB such that AC:BC=2:3.

To find:

The x-value for point C.

Solution:

Section formula: If a point divide a line segment in m:n, then

[tex]Point=\left(\dfrac{mx_2+nx_1}{m+n},\dfrac{my_2+ny_1}{m+n}\right)[/tex]

Form the given graph it is clear that the endpoints of the line segment AB are A(-3,5) and B(3,0).

Point C divides AB such that AC:BC=2:3. Using section formula, the coordinates of point C are

[tex]C=\left(\dfrac{2(3)+3(-3)}{2+3},\dfrac{2(0)+3(5)}{2+3}\right)[/tex]

[tex]C=\left(\dfrac{6-9}{5},\dfrac{0+15}{5}\right)[/tex]

[tex]C=\left(\dfrac{-3}{5},\dfrac{15}{5}\right)[/tex]

[tex]C=\left(-0.6,3\right)[/tex]

The x-value of C is -0.6.

Therefore, the correct option is B.

Two forces of 25 pounds and 20 pounds act on a body with an angle of 25 degrees between them. What is the magnitude of the resultant force?

a) 13.23 pounds
b) 38.78 pounds
c) 43.95 pounds
d) 53.23 pounds

Answers

Answer:

C) 43.95 pounds

Step-by-step explanation:

got it right on edge :)

The magnitude of resultant force is 43.95 pounds.

The option c is correct.

Resultant force:

Two forces are given that,

[tex]F_{1}=25, F_{2}=20,\theta=25 degree[/tex]

The resultant force is calculated by using formula,

         [tex]F=\sqrt{F_{1}^{2}+F_{2}^{2}+2F_{1}F_{2}cos \theta } \\\\F=\sqrt{25^{2}+20^{2}+2*25*20*cos25 }\\\\F=\sqrt{625+400+906.307}\\ \\F=\sqrt{1931.307}=43.95[/tex]

Hence, the magnitude of resultant force is 43.95 pounds.

Learn more about the resultant force here:

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Describe the translation T<-3,5>(x,y) in words

Answers

Answer:

T is less than negative 3.                 5 is greater than (x,y)

Step-by-step explanation:

solve for d:
d + (-5.004) = 2.826
PLease

Answers

Answer:

7.83

Step-by-step explanation:

d + (-5.004) = 2.826

d = 2.826 - (-5.004)

  = 7.83

Therefore d is 7.83 :)

where is alrquan07 ? Anyone know?

Answers

I have no clue where they are sorry

Answer:

hewo friend

Step-by-step explanation:

I need to find the slope and b
Y=mx+b
HELP ME

Answers

Answer:

[tex]y=-\frac{4}{3}x+20[/tex]

Step-by-step explanation:

stupid enough

y=mx+b

[tex]\frac{y1-y2}{x1-x2}[/tex]

slope = 16-12/3-6

-4/3

[tex]y=-\frac{4}{3}x+b[/tex]

plug in x and y

16=-4/3(3)+b

b=20

Red

Compute the sum of the squares of the shorter lengths. Compute the sum of the squares of the shorter lengths. Compute the square of the longest length. Compute the square of the longest length. What kind of triangle is it? What kind of triangle is it? Acute triangle Acute triangle Right triangle Right triangle Obtuse triangle Obtuse triangle

Answers

The given triangle is a right triangle because it agrees Pythagoras theorem.

In the given triangle, the shorter lengths are 12 and 16.

The sum of square of shorter lengths:

[tex]= 12^2 + 16^2[/tex]

[tex]=144+256[/tex]

[tex]=400[/tex]

The longer length is 20.

Square of the longest length is [tex]20^2.[/tex]

[tex]20^2 = 20 \times 20[/tex]

=400

The sum of squares of shorter lengths is equal to Square of the longest length which obeys Pythagoras theorem.

400 = 400

As this is agreeing Pythagoras theorem it is a right angle triangle.

Hence, option B is correct. right triangle.

To learn more on Triangles click:

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The complex numbers z1 and z2 are graphed. Which point represents z1 – z2?

Answers

Answer:

A EDGE 2020

Step-by-step explanation:

I got it wrong twice and it gave me the answer :)

The point represents z₁ - z₂ will be A. Then the correct option is A.

What is a complex number?

The complex number is the combination of the real part and the imaginary part. Then the complex number is given as

⇒ a+bi

The complex numbers z₁ and z₂ are graphed.

The expression of z₁ and z₂ are given below.

z₁ = 4 – i

z₂ = –3 – 2i

Then the difference between z₁ and z₂ will be

z₁ - z₂ = (4 – i) – (–3 – 2i)

z₁ - z₂ = 4 – i + 3 + 2i)

z₁ - z₂ = 7 + i

Then the correct option is A.

More about the complex number link is given below.

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How much are these coins worth??

Answers

Answer:

quarters are worth 25 cents

dimes are worth 10 cents

nickels are worth 5 cents

pennies are worth 1 cent

that is a total of $1.48 there

Step-by-step explanation:

Giving brainlest to whoever answers this is URGENT

Answers

Answer:

ok so it'll be the first one

Answer:

Step-by-step explanation:

m= (y2-y1)/(x2-x1)

slope is the diference in y-coordinates over the diference in x-coordinates

How much interest will you pay on a loan of $2,620, with a 3% interest rate, paid over 5
years?

Answers

Answer:

You'll pay $3013

Step-by-step explanation:

Amount to pay=$2620+Interest accrued

A=$2620+($2620×0.03×5)

A=$2620+$393

A=$3013

let's say jennifer's  Job is to make sure each box weighs four KG and is placed on a pallet 2 m away every nine seconds. How much work did Jennifer perform??

Answers

Jennifer job is better than the performs

Lucy spent $22.80 on Halloween candy. Tax is 5%. How much will she spend total including tax?

Answers

Answer:

23.94

Step-by-step explanation:

Before Tax Price: $22.80

Sale Tax: 5.00% or $1.14

After Tax Price: $23.94

What is the domain of the square root function graphed below?

Answers

Answer:

x ≥ 0

General Formulas and Concepts:

Algebra I

Domain is the set of x-values that can be inputted into function f(x)

Step-by-step explanation:

According to the graph, the line's x-values span from 0 to infinity. Since 0 is a closed dot, it is inclusive in the domain:

[0, ∞) or x ≥ 0

add 2f+5g+7h and 3f+6g+8h

Answers

5f+11g+15h



Explanation:

2f+5g+7h+3f+6g+8h

You just combine the like terms
5f+11g+15h

Answer:

Step-by-step explanation:

Add the like terms

5f+11g+15h

Select the line segment
A.
B.
C.
D.

Answers

Answer:  D i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

PLEASEE HELPPPP WILL GIVE BRAINLEAST IT IS URGENT!!!!

Which equation models the trend line?
A- y = –1.3x + 2
B- y = 1.3x + 2
C - y= –1.3x – 2
D- y = 1.3x – 2

Answers

Sorry if it’s wrong but i think it’s B
sorry if i got it wrong

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

The slope is positive, and the y intercept is at positive 2.

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