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

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

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

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).

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).

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Answer:

b

Step-by-step explanation:

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

Answer:

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

Step-by-step explanation:

Answer:

x ≥ 0

General Formulas and Concepts:

Algebra I

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

Answer:   slope of line n = -3

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

Answer:

B. y = 1.3 + 2

Step-by-step explanation:

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

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

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.

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.

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Answer:

The value of x = 7

Step-by-step explanation:

Given the right triangle

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

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%.

Answer:  D i think

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

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.

Answer:

Step-by-step explanation:

Add the like terms

5f+11g+15h

Answer:

hewo friend

Step-by-step explanation:

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.

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.

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Answer:

0.42347247428

Step-by-step explanation:

my calcuator

7/16.52

Answer:

9.52

hope it helpsssssssssssssss

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.

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Answer:

7.83

Step-by-step explanation:

d + (-5.004) = 2.826

d = 2.826 - (-5.004)

  = 7.83

Therefore d is 7.83 :)

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.

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

Answer:

x = -50/9    

General Formulas and Concepts:

Pre-Algebra

Step-by-step explanation:

Step 1: Define equation

3x - 8 - 12x = 42

Step 2: Solve for x

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

Answer:

23.94

Step-by-step explanation:

Before Tax Price: $22.80

Sale Tax: 5.00% or $1.14

After Tax Price: $23.94

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:

Answer:

C

Step-by-step explanation:

subtract