For exercises 4-6, use the imaginary unit to write an equivalent expression for
the radicals.
Just number 4 and 6

Answer:

Hello your question is incomplete attached below  is the complete question

Answer : The shape of the fence will be a circle

              dimensions of the fence are : radius = 6.5 meters

Step-by-step explanation:

First we calculate the length of the different arms

AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]

     ≈ 4.47

CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]

     ≈ 4.47

Next we calculate the midpoint of these two arms

M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )

M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex]  = ( 4,2 )

hence midpoint of M1,M2 =( M ) = ( 0,0 )

finally considering M calculate the distance between M and car B,D

MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex]  = 3.60

MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex]  = 5

therefore the radius of the fence will be

= 5 + 1.5 = 6.5 meters ( because MD > MB )

Answer:

The equation is;

y = 12x-41

Step-by-step explanation:

Mathematically;

slope intercept form is;

y = mx + b

where m is slope and b is intercept

Since we already have the slope , the equation is;

y = 12x + b

To get b which is the y intercept, we simply substitute the value of the points given

Thus;

19 = 5(12) + b

19 = 60+ b

b = 19-60

b = -41

So the equation is;

y = 12x - 41

Answer: yes.

Step-by-step explanation: GCF.

Answer:

Step-by-step explanation:

(x^3 + 4x^2 + 4x +9) / (x + 2)

x^2+2x+ 9/x+2

Answer:

0.4x

Step-by-step explanation:

Answer: =0.4x

Step-by-step explanation: hope this help

Let's simplify step-by-step.

−2.4x+3.8x−x

=−2.4x+3.8x+−x

Combine Like Terms:

=−2.4x+3.8x+−x

=(−2.4x+3.8x+−x)

=0.4x

Answer:

x= -0.01984

Step-by-step explanation:

You divide both sides by 3125 to get x alone.

You get x=-0.01984

Hope this helps!

Answer:

48

Step-by-step explanation:

55+65=120 and 2/5 of 120 is 48

Answer:

750 minutes

Step-by-step explanation:

Let the number of minutes be represented as x

1 cent = 0.01

Beetle cellular offers cellular phone service for 39.95 a month plus one cent a minute.

$39.95 + 0.01x

Salamander digital offers cellular phone service for 9.95 a month plus five cents a minute.

$9.95 + 0.05x

How many minutes would a person need to use a month for beetle cellular to cost the same as salamander digital?

This is calculated as:

Beetle cellular = Salamander digital

$39.95 + 0.01x = $9.95 + 0.05x

Collect like terms

$39.95 - $9.95 = 0.05x - 0.01x

$30.00 = 0.04x

x = $30.00/0.04

x = 750 minutes

A person need to use 750 minutes a month for beetle cellular to cost the same as salamander digital.

Answer:

a. $761.60

b. The store bought the dishwasher for the price they are currently selling it at. They are receiving no profit when it is on sale.

Step-by-step explanation:

give brainliest pls

If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60

Multiplication is the mathematical operation that is used to determine the product of two or more numbers. If an event can occur in m different ways and if following it, a second event can occur in n different ways, then the two events in succession can occur in m × n different ways.

Given that the Sales price = $952

Markdown % = 20%

The Sales price = (100 - 20)% x $952

The Sales price = 80% x $952

The Sales price = $761.60

If 20% is the greatest possible markdown the store can give without losing money, then the price of the dishwasher is $761.60

Learn more about multiplications;

https://brainly.com/question/14059007

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Answer:

Circumference of circle 1 : Circumference of circle 2 = 1 : 2

Step-by-step explanation:

Circumference of a circle = πD, where D is the diameter.

Diameter of circle 1 = 1.125

Circumference of circle 1 = π x 1.125

Diameter of circle 1 = 2.25

Circumference of circle 1 = π x 2.25

Circumference of circle 1 : Circumference of circle 2 = 1 : 2

Answer:

b

Step-by-step explanation:

Answer:

The ratio is 1:90

Step-by-step explanation:

Every minute, you walk 90 steps

An exterior angle equals the sun of the two opposite inside angles:

5x = 120 + x

Subtract 1 x from both sides:

4x = 120

Divide both sides by 4:

X = 30

The answer is D. 30

Answer:

7 dogs

Step-by-step explanation:

$30/3 = how many dollars per dog

$10 per dog he washes

$70/$10 = 7, he washes 7 dogs

Answer:

7 dogs

Step-by-step explanation:

30/3 = 10$ per dog

70/10 = 7 dogs

Answer:

-4/7

Step-by-step explanation:

(5,3)   (-2,7)

(x1,y1) (x2,y2)

(7) - (3) / (-2) - (5)

= -4/7

Answer:

y= -2/3x - 4

x= 3/2y + 6

Step-by-step explanation:

2x - 3y = 12 (plus 3y)

2x = 3y +12 (divide by 2)

x = 3/2y + 6

2x - 3y = 12 (minus 2x)

-3y = 2x + 12 (divide by -3)

y = -2/3x - 4

Answer:

3/8 shortening

1/4 salt

1 1/8 granulated sugar

1/4 baking soda (or 3/4 if that is 1 1/2 t from the original recipe)

1/8 eggs

1 c cake flour

1/4 vanilla extract

food coloring

1/8 butter flavoring

Answer:

[tex]{:}\longrightarrow[/tex][tex]\sf 4x+3=15+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 4x-2x=15-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2x=12 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac{12}{2}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=6 [/tex]

21-

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5+5a-7[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-2=5a-2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3a-5a=-2+2 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -2a=0 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf a={\dfrac {1}{-2}}[/tex]

22-

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=2+6x+1+2x [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-18=8x+3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 11x-8x=3+18 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 3x=21 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {21}{3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=7[/tex]

23-

[tex]{:}\longrightarrow[/tex][tex]\sf e+3+e=40-(-2)+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e+3=42+5e [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf 2e-5e=42-3 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf -3e=39 [/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e={\dfrac {39}{-3}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf e=-13 [/tex]

Answer:

The degree of the polynomial is even because it is a 4th degree polynomial. 4 is even, so the graph will behave roughly like a quadratic; namely, its graph will either be up on both ends or else be down on both ends.

The y-intercept is the constant term. The constant term is -4 because it is the only number on the y-axis.

Answer:

The equation should be

n is used to represent a number.

1/3 is in fraction form

It also says 6 less than 1/2 of a number, so -6 should be after 1/3n. The operation happening between 1/3 and n is multiplication

Your final equation: 5=1/3n-6

Answer:

n = 33

Step-by-step explanation:

[tex]5=\frac{1}{3} n-6[/tex] ..... (1)

(1) × 3

15 = n - 18 ⇒ n = 33

Answer: (-4,5)

Step-by-step explanation:

Answer:

12 mpm

Step-by-step explanation:

Because he goes 3 miles in 36 mins so 36/3=12

Answer:

A 1/12 mph

B 30 minutes

Step-by-step explanation:

Answer:

~The answer is 112~

Step-by-step explanation:

~If you divide 28 divided by 1/4 it should give you 112. That is how many beats per minute. Hope this helps :3~

Answer:

8.026, 8.062, 8.26, 8.6

Step-by-step explanation:

Answer:

Hi! I'm happy to help!

Step-by-step explanation:

8.026, 8.062, 8.26, 8.6

Answer:

when u divide both side by 2 the new equation will be y-5x=-3... and equation of a line is written in form of y=mx+c

so y=5x-3