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

What Is The Distance From The Origin To Point P Graphed On The Complex Plane Below?

Answers

Answer 1

Answer: (b)

Step-by-step explanation:

Given

Point P can be written as [tex]z=2-5i[/tex]

Distance of Point P can be given by [tex]\left | z \right |[/tex]

[tex]\Rightarrow \left | z\right |=\sqrt{2^2+(-5)^2}\\\Rightarrow \left | z\right |=\sqrt{4+25}\\\Rightarrow \left | z\right |=\sqrt{29}[/tex]

Thus, option (b) is correct.

Answer 2

Answer:

the answer is b

Step-by-step explanation:


Related Questions

Juice is sold in two different sizes. An 18 gl oz bottle costs $1.10. A 36 gl oz bottle costs 2.75. Which is better to buy?

Answers

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

HELP NEEDED ASAP!! Find the sine of B

Answers

Sine uses opposite divides by hypotenuse.

Therefore,

Sin B = √70/√95

Simplify

Sin B = √14/19

Three siblings are doing their washing and hanging all the items on the washing line.

On each line there is a shirt, a jumper and a towel. Each one has one spotted, one plain and one striped item, BUT none of them has the same item in the same design as their sibling. Sandra’s jumper is the same design as Paul’s towel and Paul’s jumper is the same design as Kerry’s towel. Kerry’s jumper is stripped and Sandra’s shirt is spotted.

a) Who has a striped shirt?

b) What design is Paul’s towel?

c) Who has a spotted jumper?

Answers

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! :)

(a+b)^2*(a-b)
please answer me fast ​

Answers

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

Find the area of the circle. Round your answer to two decimal places, if necessary.​

Answers

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.

Solve the system by substitution.
y = 7x– 45
Y = 2x

Answers

Answer:

(x,y)=(9,18)

Step-by-step explanation:

Question 2 - Cost of a Paver
The pavers cost $8 per square metre ($8/m?). There are 4 pavers in a
square metre.
Calculate how much one paver costs. Show your working
2$ each

Answers

Answer:

8$ divided by 4.which is equal to 2

When the park opened for the day, four people were in attendance. Every hour, the number of people tripled from the previous hour's attendance.

Part A: Determine the common ratio between the attendance each hour.

Part B: Write an equation that can be used to determine the attendance for the nth hour the park is open.

Part C: How many people were at the park during the second, fifth, and eighth hours the park was open? Show all work.

Answers

This will be Part:C if you need step
By step just reply but hope this helps !

х
If
5.3
=
12, what is the value of x?
8
0 ООО
18
o 24

Answers

Answer:18

Step-by-step explanation:

A newsletter publisher believes that 30% of their readers own a Rolls Royce. A testing firm believes this is inaccurate and performs a test to dispute the publisher's claim. After performing a test at the 0.02 level of significance, the testing firm fails to reject the null hypothesis. What is the conclusion regarding the publisher's claim

Answers

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%.

which of the following numbers must be added to complete the square in the equation below x^2+16x=5​

Answers

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!

Pick the geometric term that matches the real-world object. rectangular prism sphere cylinder triangular prism cube

Answers

i cant help if there’s no picture im sorry

Answer:

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

Explain how to convert measurements in the metric system

Answers

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.

Find f(-3) PLEASE HELP

Answers

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: 2

Step by step explanation

Solve the system of equations.
3x + 4y + z = 3
4x + 3y + 32 - 4
5x+67+72-5

Answers

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)

a)gc
b)a..f
c)bc
d)ed
which one please help

Answers

Answer:

b

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

.

x^(2)-2x+7 I need to find Find the vertex and the axis of symmetry.

Answers

Answer:

Vertex: (1, 6)

Axis of symmetry: x = 1

Step-by-step explanation:

What is the solution for the following system of equations?
5x + 7y = 3
2x + 3y = 1
O (-1,2)
O (1,-2)
O (-2,1)
O (2,-1)

Answers

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]

The area of the triangle is 42 square inches. Determine the length of the height, by applying the formula of area of triangle.

Answers

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!

What is the scale factor of Triangle XYZ to Triangle UVW? A.10 B.5 C.1/5 D. 1/10
This da last question for
A
P
E
X
Please help!!

Answers

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

The answer is………….
1/10

The weight Wkg of a metal bar varies jointly as it's length L and the square of it's diameter D mm. If W=140 when D =4 and L=54, find D interm of W and L

Answers

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]

Two miles away from home, she had to walk the remaining four miles. She had to walk all the way back home. How many more miles did she walk than she rode?

Answers

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

what is the value of x
2/3x -32=35​

Answers

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

Can someone help me? It's urgent and thank you!

Answers

Answer:

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

La Base de un triangulo mide 28 cm y su altura es correspondiente, 3/7 cm de la base. calculen el area del triangulo

Answers

Answer:

168 cm²

Step-by-step explanation:

altura = 3/7 × 28 = 12 cm

area = ½×28×12 = 168 cm²

Ryan draws a trend line through the following data
points. Did he draw the line correctly?

Answers

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:

i don’t understand at all

Answers

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)

I need help ASAP. I will give brainliest.

Answers

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

What is the equation, in point-slope form, of the line
that is parallel to the given line and passes through the
point (- 1, - 1)?

Answers

Answer:

y=-1x-1

Step-by-step explanation:

it should be this

Answer:

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

Solve for x. Round to one decimal place.


I keep messing this one up and im timed

Answers

Answer:

x ≈ 16.5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Trigonometry

[Right Triangles Only] SOHCAHTOA[Right Triangles Only] tanθ = opposite over adjacent

Step-by-step explanation:

Step 1: Define

Identify variables

Angle θ = 70°

Opposite Leg = x

Adjacent Leg = 6

Step 2: Solve for x

Substitute in variables [tangent]:                                                                     tan70° = x/6[Multiplication Property of Equality] Multiply 6 on both sides:                      6tan70° = xRewrite:                                                                                                             x = 6tan70°Evaluate:                                                                                                           x = 16.4849Round:                                                                                                               x ≈ 16.5
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