What is the distance from the origin to point P graphed on the complex plane below?

Answer:

a^3b + 2a^2b^2 + ab^3

Step-by-step explanation:

(a+b)^2

= a^2 + 2ab + b^2

ab(a^2 + 2ab + b^2)

= a^3b + 2a^2b^2 + ab^3

Answer:

First, we write the augmented matrix.

⎡

⎢

⎣

1

−

1

1

2

3

−

1

3

−

2

−

9

|

8

−

2

9

⎤

⎥

⎦

[1−1123−13−2−9 | 8−29]

Next, we perform row operations to obtain row-echelon form.

−

2

R

1

+

R

2

=

R

2

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

3

−

2

−

9

|

8

−

18

9

⎤

⎥

⎦

−

3

R

1

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

5

−

3

0

1

−

12

|

8

−

18

−

15

⎤

⎥

⎦

−2R1+R2=R2→[1−1105−33−2−9|8−189]−3R1+R3=R3→[1−1105−301−12|8−18−15]

The easiest way to obtain a 1 in row 2 of column 1 is to interchange

\displaystyle {R}_{2}

R 2

and

\displaystyle {R}_{3}

R 3

.

Interchange

R

2

and

R

3

→

⎡

⎢

⎣

1

−

1

1

8

0

1

−

12

−

15

0

5

−

3

−

18

⎤

⎥

⎦

InterchangeR2andR3→[1−11801−12−1505−3−18]

Then

−

5

R

2

+

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

57

|

8

−

15

57

⎤

⎥

⎦

−

1

57

R

3

=

R

3

→

⎡

⎢

⎣

1

−

1

1

0

1

−

12

0

0

1

|

8

−

15

1

⎤

⎥

⎦

−5R2+R3=R3→[1−1101−120057|8−1557]−157R3=R3→[1−1101−12001|8−151]

The last matrix represents the equivalent system.

x

−

y

+

z

=

8

y

−

12

z

=

−

15

z

=

1

x−y+z=8 y−12z=−15 z=1

Using back-substitution, we obtain the solution as

\displaystyle \left(4,-3,1\right)

(4,−3,1)

Answer and Step-by-step explanation:

The parent function, f(x) = |x|, has no transformations applied to it.

When the number is with the x, it translates the graph horizontally. <->

When the number is outside of the absolute box, it translates the graph vertically. ^ V

When the number is multiply the absolute box on the outside with the x inside, it scales the graph.

So, first lets apply the translations of horizontal and vertical shift.

The graph translated 1 units downwards.

The graph translates 2 units to the right.

g(x) = |x - 2| - 1

We subtract the 2 because that makes it go right, while if we added it would go left.

Now for the scale.

The lines have a slope of [tex]\frac{1}{4}[/tex], so that is what we are multiplying.

g(x) = [tex]\frac{1}{4}[/tex]|x - 2| - 1

^That is your transformed function.

#teamtrees #PAW (Plant And Water)

Answer:

168 cm²

Step-by-step explanation:

altura = 3/7 × 28 = 12 cm

area = ½×28×12 = 168 cm²

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Trigonometry

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Answer:

1/10

Step-by-step explanation:

Take the side length of figure B and divide by the same side of figure A

This is the number we need to multiply Figure A by to get to Figure B

6/60 = 1/10

We need to multiply figure XYZ by 1/10  to get to UVW

Answer:

The answer is height=7

Step-by-step explanation:

Formula needed for this problem is Area= Base times Height divided by 2.

The first step to solving this problem is to do the exact opposite of this formula. since we already know the area we will multiply that by two to get 84. Then 84 will be divided by 12 to get 7. If anything confuses you on this problem please feel free to ask!

Answer:

see below

Step-by-step explanation:

Slope intercept form is y = mx+b where m is the slope and b is the y intercept

y = x-7

m = 1

b = -7

y = 4

m=0

b = 4

y = -2x+3

m = -2

b = 3

Answer: C, You can tell the trend line is incorrect since all of the points are below it. A trend line should be in-between all of the points to give the best estimate.

Step-by-step explanation:

Answer:

To find the value of x we need to simplify this.

The steps to simplifying are simple.

We need to take away, add and do a lot to a bunch of stuff, until we receive our answer.

___________________________

Let's continue.

___________________________

Alright, let's go ahead and show our steps.

[tex]\mathrm{Multiply\:both\:sides\:by\:}3x-32[/tex]

[tex]\frac{2}{3x-32}\left(3x-32\right)=35\left(3x-32\right)[/tex]

_____________________

[tex]Simplify = \\2=35\left(3x-32\right)[/tex]

_____________________

[tex]\mathrm{Switch\:sides}\\35\left(3x-32\right)=2[/tex]

_____________________

[tex]\mathrm{Divide\:both\:sides\:by\:}35\\\frac{35\left(3x-32\right)}{35}=\frac{2}{35}[/tex]

_____________________

[tex]\mathrm{Simplify}\\3x-32=\frac{2}{35}[/tex]

_____________________

[tex]\mathrm{Divide\:both\:sides\:by\:}3\\\frac{3x}{3}=\frac{\frac{1122}{35}}{3}[/tex]

_____________________

[tex]Simplify = \\x=\frac{374}{35}[/tex]

_____________________

Therefore, the answer is x = 374/35

Answer:

8

Step-by-step explanation:

I was stumped on this question too so I figured I might as well learn how to do it. All you have to do is divide the middle number (16x) by 2. Pretty easy! Hope this helps anyone who needs it!

Answer:

(x,y)=(9,18)

Step-by-step explanation:

Answer:18

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer:

b......................

Step-by-step explanation:

.

Answer:

Distance rode = 6 miles

Step-by-step explanation:

distance from home = 2 miles

remaining distance =  4 miles

The distance rode = 4 + 2 = 6 miles

Answer:

You can use similar processes when converting from smaller to larger units. When converting a larger unit to a smaller one, you multiply; when you convert a smaller unit to a larger one, you divide.

Example look at the pic please 7,225 cm = ___ m

Meters are larger than centimeters, so you expect your answer to be less than 7,225.

Using the factor label method, write 7,225 cm as a fraction and use unit fractions to convert it to m.

Cancel similar units, multiply, and simplify.

7,225 centimeters = meters

Answer:

Sample Response: If you move from smaller to larger units, divide by a power of 10 or move the decimal to the left. If you move from larger to smaller units, multiply by a power of 10 or move the decimal to the right.

Answer:

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Step-by-step explanation:

From the given question, the expression showing the relationship among the weight, length and diameter of the metal bar is;

W [tex]\alpha[/tex] L[tex]D^{2}[/tex]

W = kL[tex]D^{2}[/tex]

where k is the constant of proportionality.

When W = 140, D = 4 and L = 54, then;

140 = k(54)[tex](4)^{2}[/tex]

      = 864k

k = [tex]\frac{140}{864}[/tex]

  = [tex]\frac{35}{216}[/tex]

k = [tex]\frac{35}{216}[/tex]

⇒ W = [tex]\frac{35LD^{2} }{216}[/tex]

So that;

35L[tex]D^{2}[/tex] = 216W

[tex]D^{2}[/tex] = [tex]\frac{216W}{35L}[/tex]

D = [tex]\sqrt{\frac{216W}{35L} }[/tex]

Step-by-step explanation:

I recommend you to use matrices for systems of equations; it's a lot faster and more expedient.

Answer:

[tex](2, -1)[/tex]

Step-by-step explanation:

Given the system of equations:

[tex]\begin{cases}5x+7y=3,\\2x+3y=1\end{cases}[/tex]

Multiply the first equation by -2 and the second equation by 5, then add both equations to solve for [tex]y[/tex]:

[tex]\begin{cases}-2(5x+7y)=(-2)3,\\5(2x+3y)=(5)1\end{cases},\\\begin{cases}-10x-14y=-6,\\10x+15y=5\end{cases},\\-10x+10x-14y+15y=-6+5,\\y=-1[/tex]

Substitute [tex]y=-1[/tex] into any equation to solve for [tex]x[/tex]:

[tex]2x+3y=1,\\2x+3(-1)=1,\\2x-3=1,\\2x=4,\\x=\boxed{2}[/tex]

Therefore, the solution to this system of equations is [tex]\boxed{(2, -1)}[/tex]

Answer:

The 18 ounce bottle costs less per ounce and is the better buy

Step-by-step explanation:

First find the cost per ounce for the 18 ounce bottle

1.10 / 18 =.0611111 per ounce

Then find the cost per ounce for the 38 ounce bottle

2.75 / 36 =.076388888

The 18 ounce bottle costs less per ounce

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

Answer:

8$ divided by 4.which is equal to 2

Answer:

2

Step-by-step explanation:

When the point on the x-axis is on -3, the point on the y-axis is 2. Therefore, f(-3) is equal to 2.

If this helps please mark as brainliest

Answer:

its c trust me. ive seen some stuff like this before

Answer:

y=-1x-1

Step-by-step explanation:

it should be this

Answer:

D. y+1=3(x+1)

Answer:

A.) Paul

B.) Plain

C.) Paul

Step-by-step explanation:

Paul: Shirt - Striped; Jumper - Spotted; Towel - Plain

Kerry: Shirt - Plain; Jumper - Striped; Towel - Spotted

Sandra: Shirt - Spotted; Jumper - Plain; Towel - Striped

Hope this helps! Have a nice dayy! :)

Answer:

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Step-by-step explanation:

Let's first state the null and alternative hypotheses for this research;

H0: p = 0.30

Ha: p ≠ 0.30

Now, since the bull hypothesis is the claim and he fails to reject the null hypothesis from the research, we will conclude that;

The evidence is not sufficient at the 0.02 level of significance to reject the claim that the percentage is 30%.

Answer:

Assuming this is the book one the answer is rectangular prism.

Answer:

379.94 in.²

Step-by-step explanation:

To find the area of a circle, multiply the radius by itself twice, then multiply the product by pi.

[tex]a=\pi r^2[/tex]

In the image, the diameter is shown.

To find the radius of a circle, divide the diameter by 2.

[tex]22/2=11[/tex]

The radius of this circle is 11 inches.

Next, multiply the radius by itself twice.

[tex]11*11=121[/tex]

Lastly, multiply the product by pi (3.14).

[tex]121*3.14=379.94[/tex]

Therefore, the area of this circle is 379.94 inches squared.