Compare your response to the sample response. Which of these did your response include? Check all of the boxes that apply.
[] The real number is on the number line, but the complex number is in the complex plane.
[] Both are distances.
[] Both are positive values.
[] The distance formula or the Pythagorean theorem is used to calculate the absolute value of a complex number.

Answer:

x^2+3x-4

Step-by-step explanation:

x * x - x + 4x - 4

x^2 - x + 4x - 4

x^2 + 3x - 4

=============================================

Explanation:

You can use the FOIL rule to expand out (x+4)(x-1), but here's another way you could do it.

Let y = x+4

This means we replace (x+4) with y to get y(x-1)

Distribute the y term through to get yx-y which can be written as x(y) - 1(y)

After this, replace y with x+4 getting x(x+4)-1(x+4)

Distribute a second time and simplify like so

x(x+4)-1(x+4)

x^2+4x-1x-4

x^2+3x-4

Answer:

w = 2, z = 7

Step-by-step explanation:

If you have any questions about the way I solved it, don't hesitate to ask ;)

Answer:

If You have $18, how many $2 items can you purchase?

Answer: -5x=15

Step-by-step explanation:

f

Answer:

≈ or estimate

Step-by-step explanation:

Answer:

average

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the initial point on the line segment be O. If point A is located at 50 and point B is located at 104, then OA = 50 and OB = 104. Using the vector notation;

AO+OB = AB

(-OA)+OB = AB

-50+104 = AB

AB = 54

If point P divides the segment AB in a ratio 1:5, them AP:PB = 1:5

AP = 54/6

AP = 9

PB = 54-9

PB = 45

Hence the point P is located at 9 units from A and 45 units from B

Answer:

52.5 km

Step-by-step explanation:

1cm: 2100000cm

2.5cm: x cm

you get 52.5 km

Answer:

24x-15

Step-by-step explanation:

Let's do this together with a step-by-step explanation!

First we need to make sure we remember that there are appropriate ways on how to solve these. LIKE PEMDAS.

6x + 3 (2x) - 7 - 2³

Let's multiply the 3 and 2x together.

6x + 6x - 7 - 2³

Now let's do the exponent

6x + 6x - 7 - 8

Now let's add everything together! But remember only common variables can be added together.

24x - 15 is the answer.

You can no longer break anything down.

I really hope this helped you!

Answer:

12x - 15

Step-by-step explanation:

so you would have to do the order of operations. so your exponent would be first. so 2×2×2=8.

6x + 3 (2x) -7 + 8

Now you can look at your parentacese which is (2x) so you need to do 3(2x) which gets you 6x.

6x + 6x -7 + 8

So you need to combine like terms.

so starting with the x

6x + 6x = 12x

Now your equation looks like this

12x + -7 +8

now you need to add like terms. (numbers)

-7 -8

so your answer is

12x -15

======================================================

Explanation:

The perimeter around the circle is known as the circumference

The full circumference of a circle with radius r is

C = 2*pi*r

In this case, r = 16 is the radius, so,

C = 2*pi*r

C = 2*pi*16

C = 2*16*pi

C = 32pi

is the full distance around the circle. But we only want 90/360 = 1/4 of that total distance. So take 1/4 of 32pi to get

(1/4)*32pi = (1/4*32)pi = 8pi

The arc length is exactly 8pi feet long

Approximately this is about 25.13274 feet

The length of the arc is exactly 8π feet long.

To find the length of the arc.

A circle is a closed two-dimensional figure in which the set of all the points in the plane is equidistant from a given point called “centre”.The perimeter around the circle is known as the circumference.

Given that:

Ф=90°

r=16 feet

The perimeter around the circle is known as the circumference.

The circumference of a circle with radius r is

C = 2*π*r

C = 2*π*16

C = 2*16*π

C = 32π

But we only want 90°/360° = 1/4 of that total distance. So multiply 1/4 to 32π to get.

=(1/4)*32π

= (1/4*32)π

= 8π

Therefore, the length of the arc is exactly 8π feet long.

Learn more about circle here:

https://brainly.com/question/17377122

#SPJ5

Answer:

[tex]Area = \frac{3}{4} cm^2[/tex]

Step-by-step explanation:

Given

[tex]Length =\frac{1}{2}\ cm[/tex]

[tex]Width = 1\frac{1}{2}\ cm[/tex]

Required

Determine the Area

Area is calculated as follows

[tex]Area = Length * Width[/tex]

Substitute values for Length and Width

[tex]Area = \frac{1}{2} * 1\frac{1}{2}[/tex]

Convert mixed fraction

[tex]Area = \frac{1}{2} * \frac{3}{2}[/tex]

[tex]Area = \frac{3}{4}[/tex]

Hence, the area is

[tex]Area = \frac{3}{4} cm^2[/tex]

Answer:

addition

Step-by-step explanation:

altogether means to put things together or to combine.

addition is taking two or more things and combining them.

Answer:

The keyword "altogether" refers to addition.

Step-by-step explanation:

altogether = the sum of something

Answer:

Using identify (a+b)(a-b) =a²-b²

Ur answer is (9b-1)(9b+1) =81b²-1

Answer:

E. 35°, 70°

Step-by-step explanation:

Sum of angles add up to 180° in every triangle.

Step 1: Set up equation

a + 2a + 75 = 180

Step 2: Combine like terms

3a + 75 = 180

Step 3: Subtract 75 on both sides

3a = 105

Step 4: Divide both sides by 3

a = 35

So 1 angle is 35°

Step 5: Plug in a to find last angle

2(35) = 70°

Answer:

E. 35°, 70°

Step-by-step explanation:

Answer:

Hence the five point summary is:

i) Minimum = 12

ii) Maximum = 47

iii) Median = 26

iv) First quartile = 15

v) Third quartile = 32

Step-by-step explanation:

The five point summary of a box and whisker plot is the minimum, maximum, median, first quartile and third quartile.

Given the number 12, 13, 14, 15, 21, 24, 25, 26, 27, 29, 32, 32, 38, 41, 47.

The median is the middle number = 26

The first quartile is the median of the numbers to the left of the median. Hence the first quartile is the median of 12, 13, 14, 15, 21, 24, 25

First quartile = 15

The third quartile is the median of the numbers to the right of the median. Hence the third quartile is the median of 27, 29, 32, 32, 38, 41, 47.

Third quartile = 32

The minimum is the lowest number = 12

The maximum is the largest number = 47

The box and whisker plot is attached

Hence the five point summary is:

i) Minimum = 12

ii) Maximum = 47

iii) Median = 26

iv) First quartile = 15

v) Third quartile = 32

Answer:

x = 8

Step-by-step explanation:

x - 8/2 = 4

Follow your order of operations and divide first.

8/2 is 4

x- 4 = 4

Next, isolate the variable by using the additive property of equality.

x - 4 + 4 = 4 + 4

x = 8

Answer:

ok so u do the opposite of 8/2 so do 8*2 which is 16 then add the answer which is 4 which equals 20 so 20- 8/2=4, 20-16=4

Answer: p = -2

Step-by-step explanation:

- 0.75p - 2 =0.25p​                           add .75p on both sides

-2 = p                                                  That's the same thing at p = -2

Answer:

p = -2

Step-by-step explanation:

-0.75p - 2 = 0.25p Subtract 0.25p from both sides

-1p - 2 = 0 Add 2 to both sides

-1p = 2 Divide by -1 on both sides

p = -2

Answer:

x =  ± 19

Step-by-step explanation:

x² = 361

x = ±√361

x =  ± 19

Answer:

Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did and more. The process of theory change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.

The discovery of new evidence because it's the only one that would give proof and science relies on proof.

Accepted theories may be modified or overturned as new evidence and perspective emerges. Scientists are likely to accept a new or modified theory if it explains everything the old theory did.

The process of theories change may take time and involve controversy, but eventually the scientific explanation that is more accurate will be accepted.

The discovery of new evidence because it's the only one that would give proof and science relies on proof.

Learn more about the theories here, please visit the link below;

https://brainly.com/question/17449725

#SPJ2

Answer:

48 to 32  8 to 4 4 to 2 24 to 16

Step-by-step explanation:

Answer:

The product 12 × 15 in friendlier numbers is (10 + 2) × (10 + 5) = 180

Step-by-step explanation:

The parameter given are;

To 12 × 15 by changing the numbers into friendlier numbers

The product in 12 × 15 written with friendlier numbers (or in a simplified format can be given as follows;

12 × 15 = (10 + 2) × (10 + 5)

Which gives;

(10 + 2) × (10 + 5) = 10² + 10 × 5 + 2 × 10 + 2 × 5

From which we have;

10² + 10 × 5 + 2 × 10 + 2 × 5 = 100 + 50 + 20 + 10 = 180

Therefore;

12 × 15 = 180.

Answer:

(1, 0 )

Step-by-step explanation:

A translation of 5 units left means subtract 5 from the x- coordinate

A translation of 1 unit down means subtract 1 from the y- coordinate, thus

(6, 1 ) → (6 - 5, 1 - 1 ) → (1, 0 )

Answer: 45% or 9/20

Step-by-step explanation:

50% is half and 33% is 1/3. 45% is less than 50% and greater than 33% and 9/20 is the simplified fraction form of 45%.

Answer:

A=19

Step-by-step explanation:

Add 6 to both sides

Answer:

a = 19

Step-by-step explanation:

a - 6 = 13

+6      +6

a = 19

Checked: 19 - 6 = 13

Answer:

Step-by-step explanation:

solo las expresiones con signos de multiplicación pueden expresarse como potencias

[tex]4\times 4\times4\times4 = 4^4\\\\7\times7\times7 =7^3\\\\(-2)\times(-2) = (-2)^2[/tex]

Step-by-step explanation:

msjshshshsheueueue6636363636363636663673737328292920101pqplqlamzmzbzbxbdjsksow8e8eurhdbxbxvftdyrueioeowpqpqlalajdhddgzg xbnnxmcmxMlqlqpqw

Answer:

the quotient has a remainder of 4

Step-by-step explanation:

The computation of the long division is shown below:

                       1 3   1     9                    

               --------------------------------  

            26           34298

                            26

               -------------------------------------(deduct)

                             82

                             78

                --------------------------------------(deduct)

                            49

                            26

                 ------------------------------(deduct)

                            238

                             234

                  --------------------------

                               4

hence, the first option is correct

Answer:

When x = -3.

4(-3)-5y=12.

-12-5y=12.

-5y=12+12.

-5y=24.

y= -4.8

Answer:

R=30.81≈31  

Step-by-step explanation:

Answer:

R=30.8

Step-by-step explanation:

The answer you'd get on the calculator when simplisfied is 30.81, and when that answer is rounded to the nearest tenth, it'd equal 30.8 and not 31

Answer:

Here you go:)

Step-by-step explanation:

7.38

Answer:

The total change of altitude should be, -38ft.

Step-by-step explanation: