Determine the simplified expression for the area of the shaded region below

Determine The Simplified Expression For The Area Of The Shaded Region Below

Answers

Answer 1

Answer:

  shaded area = 9x² +10x +4

Step-by-step explanation:

The area of the shaded region is the difference between the areas of the overall rectangle and the unshaded one it contains. Each area is the product of length and width.

Rectangle areas

Overall rectangle

  A = LW

  A = (5x)(3x) = 15x² . . . . . using given dimensions

Unshaded interior rectangle

  A = (3x +1)(2x -4) = 3x(2x -4) +1(2x -4) . . . . . using given dimensions

  A = 6x² -12x +2x -4 = 6x² -10x -4

Difference of areas

The shaded area is the difference between the area of the overall rectangle and the area of the unshaded included rectangle.

  shaded area = (15x²) -(6x² -10x -4)

  shaded area = 9x² +10x +4


Related Questions

If the two lines below are perpendicular and the slope of the red line is -
what is the slope of the green line?
O A.
A.
OB. -3
314
O D.
D. -
-10
10
15

Answers

Answer:

-(10/7)

Step-by-step explanation:

See attached graphic. The slope of the Green Line is cut off in the problem photo, but can be calculated from the graph to find the slope of the Red Line. The answer options are on drugs; pick the one that looks closest.

Answer:

-4/3

Step-by-step explanation:

Suppose your parents decide to give you $10,000 to be put in a college trust fund that will be paid in equally quarterly installments over a 5 year period. If you deposit the money into an account paying 1.5% per quarter, how much are the quarterly payments (Assume the account will have a zero balance at the end of period.)

Answers

The quarterly annuity payment is $582.46.

What is an ordinary annuity?

An ordinary annuity in case of investment is the one that pays its end-of-the period cash flows rather than at the beginning as it is case of annuity due.

The applicable formula in this case is the present value formula of an ordinary annuity as shown below:

PV=quarterly payment*(1-(1+r)^-N/r

PV=initial investment=$10,000

quarterly payment=unknown(assume it is X)

r=quarterly interest rate=1.5%

N=number of quarterly payments in 5 years=5*4=20(there are 4 quarterly payments in a year)

$10,000=X*(1-(1+1.5%)^-20/1.5%

$10,000=X*(1-(1.015)^-20/0.015

$10,000=X*(1-0.742470418223773)/0.015

$10,000=X*0.257529581776227/0.015

X=$10,000/(0.257529581776227/0.015)

X=quarterly payment=$582.46

Note that the unknown in this case is the annuity payment, the present value can also be the unknown as well.

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Given any two events, e1 and e2, what does the probability p(e1 ∪ e2) represent?

Answers

The equation of P(e₁ ∪ e₂) describes the condition that the mutually exclusive event stands one of the events occurs, or both occur.

What are Mutually Exclusive events?

Mutually Exclusive events are described as in probability the particular addition rule exists practical when two occurrences exist incompatible with one another. It claims that the probability of either event exists equivalent to the probability of each possibility separately.

If e₁ and e₂ stand said to be mutually exclusive events then the probability of an event e₁ happening or the probability of event e₂ occurring exists given as P(e₁) + P(e₂) :

P(e₁ ∪ e₂) = P(e₁) + P(e₂)

Therefore, the equation of P(e₁ ∪ e₂) describes the condition that the mutually exclusive event stands for one of the events that happens, or both happen.

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If -3(x+8)= -21, then x = -1.

Answers

Step-by-step explanation:

-3(x+8)=-21

open the bracket

-3x-24=-21

-3x=-21+24

-3x=3

x=-3/3

x=-1

What steps may be necessary to predict data not included in a data set using a scatter plot and line of best fit? Select all that apply.

Answers

Answer:

Step-by-step explanation:

3. A line of best fit can be roughly determined using an eyeball method by drawing a straight line on a scatter plot so that the number of points above the line and below the line is about equal (and the line passes through as many points as possible). This will help me to see weather or not it is positive or negative.3

ABCD is a rhombus. If AB = 2x + 12 , AC = 7x - 3, ∠=12°, and ∠ = (4y - 1)°.m ∠BAC = __ . (FIND BAC NOT CD)

Answers

Answer:

Step-by-step explanation:

a basketball player signs a cantract that pays him $16 million over 4 year. What is his average pay per year?

Answers

the average pay per year is $4 million

Answer:

The average is 4millon

Step-by-step explanation:

because 16 millon divide by 4 =4

ez

In the figure below, what is the length of BC?
A) 12
B) 13
C) 17
D) 18
E) 22

Answers

B is the answer

i simplified the theorem, but i hope this makes sense!

Answer:

B

Step-by-step explanation:

jean loads a ream of paper 500 sheets into the tray of her photocopier she has 23 sheets and need 20 copies each sheet how many sheets of paper remain unused

Answers

The answer is 40

you just times 23 by the number of photocopies you need with is 20

so 23x20 which is 460

500-460 is 40

The number of sheets of papers remain unused are 40.

Given that, Jean loads a ream of paper 500 sheets into the tray of her photocopier she has 23 sheets and need 20 copies each sheet.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Number of sheets used = 23×20

= 460

Remaining sheets = 500-460

= 40

Therefore, the number of sheets of papers remain unused are 40.

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I need help here’s a picture can somone explain what I need to do??

Answers

Answer:

176 square feet

Step-by-step explanation:

add the areas of the rectangle and triangle

rectangle area is

16 times 8 which is

128

rectangle area is

1/2 times 12 times 8 which is

48

then add them

128 plus 48 is

176 square feet

What is the area of this figure?
14 km
8 km
9 km
8 km
5 km
4 km
4 km
4 km

Answers

The Area of the composite figure as shown in the image below is: 105.57 km².

What is the Area of a Composite Figure?

Referring to the diagram given below, the shape can be decomposed into one rectangle, one square, and one quarter circle.

The area of the composite figure = area of rectangle + area of square + area of quarter circle.

Area of the Rectangle = length × width

Length = 12 km

Width = 7 km

Area of the Rectangle = 12 × 7

Area of the Rectangle = 84 km²

Area of the square = (s)²

s = 3 km

Area of the square = 3²

Area of the Rectangle = 9 km²

Area of the quarter circle = 1/4(πr²)

r = 4 km

Area of the quarter circle = 1/4(π × 4²)

Area of the quarter circle = 12.57 km²

Area of the composite figure = 84 + 9 + 12.57

Area of the composite figure = 105.57 km².

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Which number best represents the slope of the graphed line?

A graph is a line that extends from second quadrant to fourth quadrant through left parenthesis 0, 2 right parenthesis, and left parenthesis 0.5, 0 right parenthesis.

Answers

The number that best represents the slope of the graphed line that is given is: -4.

What is the Slope of a Line?

The slope of a line is the ratio of the vertical distance to the horizontal distance across the line. It is calculated using the formula:

Slope (m) = rise/run = change in y / change in x = (y2 - y1)/(x2 - x1)

Given the two points on a coordinate plane as shown in the mage below, let:

(x1, y1) represent (0, 2)

(x2, y2) represent (0.5, 0)

Plug in the values

Slope (m) = change in y / change in x = (0 - 2) / (0.5 - 0)

Slope (m) = -2/0.5

Slope (m) = -4

Therefore, we can state that, the number that best represents the slope of the graphed line that is given is: -4.

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The actual answer is C.1/2

chust mee am a doktor

Which of the following is a function?
A. {(2,9), (2,8), (-3,7), (-3,6))
B. ((-4,3), (1,0), (1,2), (2,3)}
C. {(2,1), (4,2), (6,3), (8,4))
D. {(1,2), (-2,3), (1,3), (-2,2))

Answers

Answer: C

Step-by-step explanation:

A function only exists if each x-value has only one possible y-value.

C is the only function because each x-value has only one y-value.

The other answer choices have x-values that have multiple y-values. In answer choice A, it has (2,9) and (2,8). In answer choice B, the set has (1, 0) and (1,2). And in answer D, it has (1,3) and (1,2)

Answer + Step-by-step explanation:

let f be the relation that we are studying.

f is a function if it associates a unique output (number) to each input (number) .

A. {(2,9), (2,8), (-3,7), (-3,6))

Since f(-3) = 7 and f(-3) = 6

Then

f associates -3 to two different outputs 7 and 6.

Then

f cannot be a function.

B. ((-4,3), (1,0), (1,2), (2,3)}

Since f(1) = 0 and f(1) = 2

Then

f cannot be a function.

C. {(2,1), (4,2), (6,3), (8,4))

f is a function.

D. {(1,2), (-2,3), (1,3), (-2,2)

Since f(-2) = 3 and f(-2) = 2

Then

f cannot be a function.

If zeba were younger by 5 years than what she really is then the square of her age would have been 11 more than five times her actually age. What is her age now?​

Answers

Answer:

I am not 100% confident, but I think that she is 11.

Step-by-step explanation:

Answer:

14 years old

Step-by-step explanation:

Define the variable

Let x be the actual age of Zeba (in years).

Create an equation using the give information and the variable x:

[tex](x - 5)^2=5x+11[/tex]

To find Zeba's age now, solve the equation for x.

Expand the brackets:

[tex]\implies x^2-10x+25=5x+11[/tex]

Subtract 5x from both sides:

[tex]\implies x^2-10x+25-5x=5x+11-5x[/tex]

[tex]\implies x^2-15x+25=11[/tex]

Subtract 11 from both sides:

[tex]\implies x^2-15x+25-11=11-11[/tex]

[tex]\implies x^2-15x+14=0[/tex]

Factor the found quadratic

To factor a quadratic in the form [tex]ax^2+bx+c[/tex], find two numbers that multiply to [tex]ac[/tex] and sum to [tex]b[/tex], then rewrite [tex]b[/tex] as the sum of these two numbers:

[tex]\implies x^2-14x-x+14=0[/tex]

Factor the first two terms and the last two terms separately:

[tex]\implies x(x-14)-1(x-14)=0[/tex]

Factor out the common term (x - 14):

[tex]\implies (x-1)(x-14)=0[/tex]

Apply the zero product property:

[tex]\implies (x-1)=0 \implies x=1[/tex]

[tex]\implies (x-14)=0 \implies x=14[/tex]

Therefore, Zeba's age now is either 1 or 14 years.

As the question states "If Zeba were younger by 5 years" then 1 must be an extraneous solution since 1 - 5 = -4 and Zeba cannot be -4 years old.

Therefore, Zeba's age now is 14 years old.

Check

Given the actual age of Zeba is 14 years old.

Therefore, If Zeba were younger by 5 years, she would be 9 years old as:  14 - 5 = 9

The square of 9 is:  9² = 81.

5 times her actual age:  5 × 14 = 70

81 is 11 more than 70, hence verifying that her actual age is 14 years old.

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Simplify 0.4(5a-3.2b+7)

Answers

Step-by-step explanation:

2a -1.28b +2.8 for simplification.

What is the approximate total volume of the silo? use 3.14 for π and round the answer to the nearest tenth of a cubic meter. 37.1 m3 71.9 m3 116.5 m3 130.8 m3

Answers

The total volume of silo is  = 116.5[tex]{~m}^{3}[/tex]

The correct option is C

What are the geometric figures?

Any arrangement of points, lines, or planes constitutes a geometric figure. Depending on their dimensions, geometric figures can be categorized as either a space figure, a plane figure, a line, a line segment, a ray, or a point.

Any object's surface area is the space that the object's surface takes up on a specific area or region. Volume, however, refers to how much room a thing has.

Given data:

Radius =4.4/2

                   =2.2

height of cylinder = 6.2

to find :

total volume of silo =  volume of cylinder + volume of hemisphere

                                  [tex]\begin{aligned}&=\pi r^{2} h+\frac{2}{3} \pi r^{3} \\&=\pi r^{2}\left(h+\frac{2}{3} r\right) \\&=\frac{22}{7} \times(2.2)^{2}\left[6.2+\frac{2 \times 2.2}{3}\right]\end{aligned}[/tex]

                                   = 116.5[tex]m^2[/tex]

The total volume of silo is = 116.5[tex]m^2[/tex]

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I understand that the question you are looking for is:

A grain silo is composed of a cylinder and a What is the approximate total volume of the silo? Use hemisphere. The diameter is 4.4 meters. The height of  3.41 for [tex]\pi[/tex] and round the answer to the nearest tenth of its cylindrical portion is  6.2 meters. a cubic meter.

a. 37.1[tex]m^2[/tex]

b. 71.9 [tex]m^2[/tex]

c.116.5 [tex]m^2[/tex]

d. 130.8[tex]m^2[/tex]

                   

Drag the tiles to the boxes to form correct pairs. match each pair of polynomials to their sum. 12x2 3x 6 and −7x2 − 4x − 2 −2x − 2 2x2 − x and −x − 2x2 − 2 2x2 x x2 2 and x2 − 2 − x 2x2 9x − 2 x2 x and x2 8x − 2 5x2 − x 4

Answers

The sum of each of the 4 polynomials and their answers are respectively;

12x² + 3x + 6 + (-7x²) – 4x – 2  = 5x² - x + 4

(2x² - x) + (-x – 2x² – 2) = -2x - 2

(x³ + x² + 2) + (x² – 2 - x³) = 2x²

(x² + x) + (x² + 8x - 2) = 2x²+ 9x - 2

How to find the sum of Polynomials?

1) We want to find the sum of the polynomials (12x² + 3x + 6) and (-7x² – 4x – 2). Thus, we have;

12x² + 3x + 6 + (-7x²) – 4x – 2

= 5x² - x + 4

2)  We want to find the sum of the polynomials (2x² - x) and (-x – 2x² – 2). Thus, we have;

(2x² - x) + (-x – 2x² – 2)

= -2x - 2

3) We want to find the sum of the polynomials (x³ + x² + 2) and (x² – 2 - x³). Thus, we have;

(x³ + x² + 2) + (x² – 2 - x³)

= 2x²

4) We want to find the sum of the polynomials (x² + x) and (x² + 8x - 2). Thus, we have;

(x² + x) + (x² + 8x - 2) = 2x²+ 9x - 2

The sum of each of the 4 polynomials and their answers are respectively;

12x² + 3x + 6 + (-7x²) – 4x – 2  = 5x² - x + 4

(2x² - x) + (-x – 2x² – 2) = -2x - 2

(x³ + x² + 2) + (x² – 2 - x³) = 2x²

(x² + x) + (x² + 8x - 2) = 2x²+ 9x - 2

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Sloane kicked a soccer ball off the ground at a speed of 56 feet per second. the height of the ball can be represented by the function h(t) = −16t2 56t, where t is the time in seconds. how many seconds did the ball travel before returning the ground? t = 56 seconds t = 16 seconds t = 3.5 seconds t = 0.29 seconds

Answers

The time in seconds that it took the ball to travel would be = 0.25 seconds.

Calculation of speed time

Speed can be defined as the distance covered by an object per unit time.

The speed used to kick the soccer off the ground = 56 feet per second.

The height equation= −16t² + 56t

The time= ?

The formula for speed = distance/time

56= −16t² + 56t/t

56t = −16t² + 56t/t

−16t² = -56t + 56t

−16t² = 0

Make t the subject formula,

t = √1/16

t = 0.25 seconds.

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A sheet of glass has a density of 2.5 8 What is the density of the glass in k8 ? mi.

Answers

Based on the density and the given parameters, the density of the sheet of glass in kg per m cubed is 2500 kg/m cubed

How to determine the density of the sheet of glass in kg per m cubed?

The density of the sheet of glass  is given as

Density = 2.5g/cm cubed

Start by converting grams (g) to kilogram (kg)

This is done by dividing 2.5 by 1000

So, we have:

Density = 2.5/1000 kg/cm cubed

Evaluate the quotient

Density = 0.0025 kg/cm cubed

Next, we then convert cm cubed (cm^3) to meter cubed (m^3)

This is done by dividing the volume by 1000000

So, we have:

Density = 0.0025 kg/(1/1000000) m cubed

Express as product

Density = 1000000 * 0.0025 kg/m cubed

Evaluate the product

Density = 2500 kg/m cubed

Based on the density and the given parameters, the density of the sheet of glass in kg per m cubed is 2500 kg/m cubed

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Answer:

See below

Step-by-step explanation:

Are you wanting to convert density of   gm/ cm^3   to    kg/m^3 ??

    there are 100 x 100 x 100  cm^3 =  1,000,000  cm^3/ m^3

2.5 gm / cm^3   *  1 000 000 cm^3 / m^3   =  2, 500 000 gm / m^3

   now 1 kg is   1000 gm

2, 500 000 gm / m^3   *  1 kg / 1000 gm  = 2500 kg / m^3

PLS HELP IM SO STUCK

Answers

3x-2y=  7

Slope intercept form y= mx+b

   3x- 2y=  7

-   3x           -3x

   

-2y/-2=  3x/-2 - 7/2  

y=   3x/-2 -7/2

Answer:

3x/2 and the second 7/-2y

Step-by-step explanation:

thats how is what i got

Given the following information, calculate the perimeter of triangle RST. Assume triangle RZX is similar to triangle RST.
RZ = 21, RY = 24, RX = 42, ZY = 9, and SW = 15.

Answers

Check the picture below.

On saturday evening 5450 people visited india gate. out of these 1265 were men 1150 were woman and rest were children. how many children visited the india gate?

Answers

3435 were children visited the India gate.

What is a linear equation in math?

A linear equation only has one or two variables. No variable in a linear equation is raised to a power greater than 1 or used as the denominator of a fraction. When you find pairs of values that make a linear equation true and plot those pairs on a coordinate grid, all of the points lie on the same line.

Given,

             men = 1265

            women = 1150

Total women and men -

        men + women = 2415

         = 5450-2415  ⇒ 3435

Therefore,  3435 were children visited the India gate.

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An apartment building contains 12 units consisting of one- and two-bedroom apartments that rent for $360 and $450 per month, respectively. When all units are rented, the total monthly rental is $4,950. What is the number of two-bedroom apartments?

Answers

Answer:

There are 7 two bed bedroom apartments.

Step-by-step explanation:

Solution Given:

let the one bedroom apartment be x and two bedroom apartment be y.

By the question we can make an equation as

x+y=12

or y=12-x............................[1]

Again:

$360x+$450y=$4,950

Now substituting value of y, we get

$360x+$450(12-x)=$4,950

Opening Bracket

$360x+$5400-$450x=$,4,950

solving equation

-90x=-450

dividing both side by -90,we get

x=5

again,

substituting value of x in equation 1,we get

y=12-5=7 two bed bedroom apartments.

Let, x represents the number of one bedrooms and 12 - x represents the number of two bedrooms.

According to the question,

[tex]360x + 450(12 - x) = 4950[/tex]

[tex]360x + 5400 - 450x = 4950[/tex]

[tex]5400 - 4950 = 450x - 360x[/tex]

[tex]450 = 90x[/tex]

[tex] \frac{450}{90} = x[/tex]

[tex]5 = x[/tex]

Therefore, one bedrooms = x = 5

For number of two bedrooms which is equal to 12 - x

= 12 - 5

= 7

So your required answer is 7

if b=7, what is the value of the expression2(10-b)?

Answers

Answer: 6

Step-by-step explanation: Since we substitute the b with 7, 10-7= 3. Since the 2 is next to the parentheses, we multiply 3 by 2, getting 6.

Hey there!

2(10 - b)

= 2(10 - 7)

= 2(10) + 2(-7)

= 20 - 14

= 6


OR

2(10 - b)

= 2(10 - 7)

= 2(3)

= 6


Therefore, your answer should be: 6


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

1. Convert the numeral to a numeral in base ten.
3205 six
43
125
4325
725

Answers

Expanding the digits, we have

[tex]3205_6 \equiv 3\cdot6^3 + 2\cdot6^2 + 0\cdot6^1 + 5\cdot6^0 = \boxed{725}[/tex]

If f (x) = startroot 4 x 9 endroot 2, which inequality can be used to find the domain of f(x)? startroot 4 x endroot greater-than-or-equal-to 0 4 x 9 greater-than-or-equal-to 0 4 x greater-than-or-equal-to 0 startroot 4 x 9 endroot 2 greater-than-or-equal-to 0

Answers

Inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.

What is inequality?The term inequality refers to a mathematical expression in which the sides are not equal. An inequality compares any two values and reveals that one is smaller, greater, or equal to the value on the opposite side of the equation.

To find the domain:

“f(x) = StartRoot 4 x + 9 EndRoot + 2” should be written as, note that√(4x + 9) is a variation of the basic function y = √x, whose domain is [0, ∞ ). The domain of f(x) = √(4x + 9) + 2 is found by taking the “argument” 4x + 9 of √(4x + 9) and setting it equal to zero: 4x + 9 ≥ 0, or 4x ≥ -9, or x ≥ -9/4 This is the domain of the given function f(x) = √(4x + 9) + 2. So long as x is ≥ -9/4, the function f(x) will be defined.

Therefore, inequality can be used to find the domain of f(x) is (B) 4x+9 greater-than-or-equal-to 0.

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The correct question is given below:

If f (x) = start root 4 x 9 enroot 2, which inequality can be used to find the domain of f(x)?

(A) startroot 4 x endroot greater-than-or-equal-to 0                                        

(B) 4x+9 greater-than-or-equal-to 0

(C) 4 x greater-than-or-equal-to 0

(D) startroot 4 x 9 endroot 2 greater-than-or-equal-to 0

Answer:

(B)- 4X+9 greater than or equal to 0

Step-by-step explanation:

What is the margin of error for 95% confidence for a sample of size 700 where p = 0.65?
A. 0.0455
B. 0.0303
OC. 0.0651
D. 0.0353

Answers

Answer:

D 0.0353

Step-by-step explanation:

a= 0.05. p= 0.65. n=700

S N P = 700 × 065 = 45575

1 n ( 1 - p ) = 700× ( 1 - 0.65 ) = 24575

get the sample is big ,. p~ N ( π. √ π ( 1-π ) p - π

-----------. ------- ~ ( o. 1

n Ñ 1 ~ñ

the margin of error ∆ = Z a

-----. =. √ π ( 1 - π )

2 --------

n

according to the standard normal distribution,

Z d

---. = zo.o25 = 1.96

2

∆=1.96×√p ( 1 - p ). =. 1.96 × √ 0.65× ( 1 - 65)

---------. ---------

π. 700

= 0.0353

A game involves rolling a fair six-sided die. if the number obtained on the die is a multiple of three, the player wins an amount equal to the number on the die times $20. if the number is not a multiple of three, the player gets nothing. how will you model the simulation for the roll of a die?

Answers

The winning probability is 1/3.

What is probability?A probability is a number that represents the likelihood or chance that a specific event will occur. Probabilities can be stated as proportions ranging from 0 to 1, as well as percentages ranging from 0% to 100%.

To find the winning probability:

Favorable outcomes to win are 3 and 6.Total outcomes are 6in fair dice.To win $20 × 3 or $20 × 6 favorable outcome is 1 (3 and 6 respectively).The probability is 1 / 6.So, the probability of winning some money = 2/6 = 1/3

Therefore, the winning probability is 1/3.

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Csn u please help me o have no idea

Answers

Answer:

D.= 29

Step-by-step explanation:

Greetings!

The distance between the two complex numbers,

Z₁=a+bi and Z₂=c+di in the complex plane is

[tex]d = \sqrt{(c - a) {}^{2} + (d - b) {}^{2} } [/tex]

In the Cartesian plane, the distance between, one point and other is (x₁,y₁) and (x,y) is the distance formula is

[tex]d = \sqrt{(X₂-X₁)² + (Y₂-Y₁)²} [/tex]

To find the distance between the two complex numbers using the formula

[tex]d = \sqrt{(c - a) {}^{2} + (d - b) {}^{2} } [/tex]

where,

a=4b=3c=6d=-2

[tex]d = \sqrt{(a - b) {}^{2} + (d - b) {}^{2} } \\ d = \sqrt{(6 - 4) {}^{2} + ( - 2 - 3) {}^{2} } \\ d = \sqrt{(2) {}^{2} + ( - 5) {}^{2} } \\ d = \sqrt{4 + 25} = \sqrt{29 \\ } [/tex]

Consider the points (1,7),(-5,-4) what are the domain and range of this function

Answers

Answer:

Domain is 1 and 7 and range is -5and -4

Step-by-step explanation:

because domain is a first group element and range is a second element of a set

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