What is the distance from the origin to point P graphed on the complex plane below?
Answers
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:
the answer is b
Step-by-step explanation:
Related Questions
A PE teacher has to organise two year groups into netball teams, each separately. Year 7 has 70 students and Year 8 has 98 students. If each year group must be split up equally into teams all of the same size, what is the largest team size she can use?
Answers
Answer:
14
Step-by-step explanation:
Find HCF
Year 7: 70 students
7x5x2=70
Year 8: 98 students
7x7x2=98
HCF: 14
The largest team size she can use is 14 students.
Grade 7: 5 teams
Grade 8: 7 teams
Brainliest please, thanks!
Which equation represents g(x)? The graph of g(x) is a translation of y = x. Ту O g(x) = 3-4 5 O g(x) = 3/x+4 4 3 O g(x) = 5x + 1.5 2 000). 1 O g(x) = 3x - 1.5
Answers
Hi there!
Before we get into translation or transformation of a graph. Let's understand how the graph of cube root of x looks like.
1. How does an original graph, or a graph without any translations look like?
They just look like in attachment as only in a shape of graph. The only difference is how the graph shifts. As you see in the attachment that the graph shifts to 4 units from 0. That means the graph of cube root of x intersects at (0,0) or origin point instead of (4,0). Since the shown graph shifts to right 4 units and intersect at (4,0). What do you think the equation for the graph would be? Let's find out below!2. Translations/Transformation of the graph.
Have you got an equation or the answer in your mind yet? Let's say... when you shift the graph to right 4 units which equal to x = 4, the graph finally intersects the x-axis plane or y = 0. Thus making the relation for x and y (4,0). What we have to do is to substithte x = 4 and see which equation result in pure 0.3. Conclusion and Answer
If you have already gotten the answer before reading this then congratulations! If you are confident that it is correct though. So the equation that makes x = 4 and y = 0 would be the first equation because when we substitute x = 4, it becomes cube root of 4-4 which becomes 0. Hence, the equation for the graph is cube root of x-4 or the first choice!I hope this helps! Let me know if you have any doubts regarding your question or my answer.
two angles ina triangle have measures of 20 degrees and 50 degrees. whats the measure of the third angle?
70, 30, 120, or 110 dggrees?
Answers
Answer:
Step-by-step explanation:
All the triangle's angles measure adds up to a total of 180º
What is the product of 4xy and y^2 + 2x
Answers
Answer:
C
Step-by-step explanation:
4xy(y^2 + 2x) Remove the brackets (distributive law)
4xy^3 + 8x^2y
You have to turn the two terms around to see the correct answer. That's perfectly alright when dealing with addition of pluses.
8x^2y + 4xy^3
BRAINLIEST TO WHOEVER IS CORRECT!!!
Write an equation that represents the line.
Use exact numbers.
Answers
Answer:
y=[tex]-\frac{4}{3}[/tex]x+2
Step-by-step explanation:
To write the equation for this line, we are going to use slope-intercept form, which is written as
y=mx+b.
Here are the meanings of each variable:
y= basically the "name" of the function and it always stays as y.
m= slope, which is rise over run.
x= variable that is always on the right of the slope and it always stays as x.
b= y-intercept, or the value that crosses the y-axis.
We will substitute numbers into the equation along the way. The first thing we will want to do is find b, which is the easiest.
The line crosses the y-axis at 2, so that is our value of b.
Our new equation is
y=mx+2.
Next, we will find the slope. The most efficient way of doing this is looking at the lowest point that is already provided, (3, -2), and finding a way to rise and run to the highest point, (0, 2).
If you look closely at the graph, we need to rise up 4 and run over -3 to get to the other point. Therefore, the slope is [tex]-\frac{4}{3}[/tex], and we can substitute it into our equation, which is completed and is now
y=[tex]-\frac{4}{3}[/tex]x+2
I hope this helps you out!! Have an awesome day ^^
Solve the inequality: 3x - 3 < 9
Answers
Answer:
[tex]x<4[/tex]
Step-by-step explanation:
Given:
[tex]3x-3<9[/tex]
Add 3 to both sides
[tex]3x<12[/tex]
Divide both sides by 3 to get x alone
[tex]x<4[/tex]
Hope this is helpful
can someone help please? i don’t know the answer.
Answers
Answer:
C) 119.75 + 2.25p <= 500; p <= 169
Step-by-step explanation:
My friend, for this problem you must realize that there is a fixed cost of 119.75 that we add always. Then $2.25 per pastry manufactured is also part of the total costs. Thus, we add both of them where p represents pastry to get 119.75 + 2.25p.
But, the question says the shopkeeper would like to stay under or be exactly at $500 for total costs. Thus, for this inequality, we set this equation as being less than equal to 500.
Solve for p by adding 119.75 on both side and dividing both sides by 2.25 afterwards and you get 169.
In a school there are 1800 boys and 1200 girls. In an exam only 32 % of the boys passed and 50 % of the girls passed. Find the percentage of the total who did not pass.
Answers
Answer:
Step-by-step explanation:
The total number of students is 1800 + 1200 = 3000
The % of boys who did not pass is 100% - 32% = 68%
The number of boys who did not pass is 68/100 * 1800 = 1224
The % of the girls who did not pass is 100% - 50% = 50%
The number of girls who did not pass was 50/100 * 1200 = 600
The total number who did not pass was 1824
The % who did not pass was 1824/3000 * 100 = 60.8%
What are the solutions of X^2-8+16=11
Answers
Answer:
x = ±√3
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightEquality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityAlgebra I
Terms/CoefficientsSolving quadraticsStep-by-step explanation:
Step 1: Define
Identify
x² - 8 + 16 = 11
Step 2: Solve for x
Combine like terms: x² + 8 = 11[Subtraction Property of Equality] Subtract 8 on both sides: x² = 3[Equality Property] Square root both sides: x = ±√3Find f ′(x) for f(x) = cos (5x2).
Answers
Answer:
I think its No Solution
Step-by-step explanation:
Hope it helps
Atividade 12 Observe o sistema de equações abaixo. {m−3n=16m+5n=−8 Quais são os valores de "m" e "n" que satisfazem esse sistema de equações? m=1en=3. m=7en=–3. m=52en=–12. m=–20en=–12.
Answers
Responder:
m = 7; n = - 3
Explicação passo a passo:
Dada a equação:
m − 3n = 16m + 5n = −8
Resolvendo a equação:
m − 3n = 16 - - - (1)
m + 5n = - 8 - - - (2)
Subtraia 1 de 2
m - m - 3n - 5n = 16 - - 8
-3n - 5n = 16 + 8
-8n = 24
n = 24 / - 8
n = - 3
Coloque n = - 3 em (1)
m − 3n = 16
m - 3 (-3) = 16
m + 9 = 16
m = 16 - 9
m = 7
The endpoints of a diameter of a circle are (2, 4) and (-4, 7).
What is the standard form of the equation of this circle?
Enter your answer by filling in the boxes. Enter any fractions in simplified form.
X
Answers
Answer:
(x+1)²+(y-5.5)²=45/4.
Step-by-step explanation:
1) the common form of the required equation is: (x-a)²+(y-b)²=r², where 'a' and 'b' are the coordinates of the centre of the given circle, r - radius of the given circle.
2) the midpoint of the diameter is the centre of the given circle, its coordinates are:
[tex]\frac{2-4}{2}=-1; \ and \ \frac{4+7}{2}=5.5.[/tex]
3) the length of the radius of the given circle is:
[tex]r=\frac{1}{2}*\sqrt{(2+4)^2+(4-7)^2)}=\sqrt{\frac{45}{4}}.[/tex]
4) according to the common form and calculated the centre O(-1;5.5) and the radius it is possible to make up the required equation of the circle:
[tex](x+1)^2+(y-5.5)^2=\frac{45}{4}.[/tex]
Answer:
The correct answer is (x+1)^2 + (y−11/2)^2 = 45/4
Step-by-step explanation:
This is how the system wants it put in. See question 12
Jasmine ran 5 miles in 42.5 minutes. Caroline ran 3 miles in 26.4 minutes. Who ran at a faster pace?
A) Jasmine because she ran 0.8 minute faster per mile.
B) Jasmine because she ran 0.3 minute faster per mile.
C) Caroline because she ran 0.7 minute faster per mile.
D) Caroline because she ran 0.2 minute faster per mile
Answers
Answer:
B
Step-by-step explanation:
For this problem, let us find the respective speeds of Jasmine and Caroline and compare the two. All we have to do is divide #minutes by #miles to find the time spent per one mile.
Jasmine:
[tex]\frac{42.5}{5} =\\\\[/tex]
[tex]8.5[/tex] minutes per mile
Caroline:
[tex]\frac{26.4}{3} =\\[/tex]
[tex]8.8[/tex] minutes per mile
Since Caroline takes longer to run a mile than Jasmine, We now know that Jasmine ran at a faster pace:
[tex]8.8-8.5=0.3[/tex]
B. Jasmine ran at a faster pace because she ran 0.3 minutes faster per mile.
I hope this helps! Let me know if you hae any questions :)
Write an equation of a line that is perpendicular to
the line y = 2/3x+5 and that passes through the
point (0,4).
Answers
Answer:
y = (-3/2)x + 4
Step-by-step explanation:
The slope of the given line is 2/3. The slope of any line perpendicular to the given line is the negative reciprocal of 2/3, which comes out to -3/2.
Now we have the slope of the new line and know that it passes through (0, 4). (0, 4) happens to be the y-intercept, b, in y = mx + b:
Substituting -3/2 for m and 4 for b, we get y = (-3/2)x + 4.
Help me I have more pls
Answers
Answer:
y= 2/3x +4
Step-by-step explanation:
choose 2 points to find slope
I chose points of intersection
(-6,0) (0,4)
m=y2-y1/x2-x1
[tex]m = \frac{4 - 0}{0 - ( - 6)} = \frac{2}{3} [/tex]
then use slope point form rule
y-y1=m(x-x1)
[tex]y - 4 = \frac{2}{3} (x - 0) \\ \\ y = \frac{2}{3} x + 4[/tex]
Answer:
y = [tex]\frac{2}{3}[/tex] x + 4
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (- 6, 0) and (x₂, y₂ ) = (0, 4) ← 2 points on the line
m = [tex]\frac{4-0}{0-(-6)}[/tex] = [tex]\frac{4}{0+6}[/tex] = [tex]\frac{4}{6}[/tex] = [tex]\frac{2}{3}[/tex]
The line crosses the y- axis at (0, 4 ) ⇒ c = 4
y = [tex]\frac{2}{3}[/tex] x + 4 ← equation of line
If p and q vary inversely and p is 22 when q is 5, determine q when p is equal to 2.
Answers
Answer:
q = 55
Step-by-step explanation:
[tex]p\ \alpha\ \frac{1}q} \\\\p = k \times \frac{1}{q}\\\\22 = k \times \frac{1}{5}\\\\22 \times 5 = k\\\\k = 110\\\\[/tex]
Find q when p = 2
[tex]p = k \times \frac{1}{q}\\\\2 = 110 \times \frac{1}{q}\\\\2 \times q = 110\\\\q = \frac{110}{2}\\\\q = 55[/tex]
A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey... -Goes up three feet -But, slips down two feet How long will it take the monkey to get to the top of the tree?
Answers
Answer:
58 Minute
Step-by-step explanation:
According to the Question,
Given, A monkey is trying to scale a tree That is 6O feet tall. Each minute, the monkey Goes up three feet But, slips down two feet.Therefore, he climbs (3-2)1 Foot in 1 minute. Now at 57minute, he scales 57feet.
Now, at the 58th minute, he climbs 3 feet MoreThus 57 feet + 3 feet = 60feet( Reached the Top of the tree Now he Never Fall again)
the monkey will take total 58 minutes to get to the top of the tree.2. suppose the ping pong balls in shoe box a are larger than those in shoes box b would be easy to tell which one has the greater volume? why?
Answers
Answer:
Box A have greater volume because it will be having more mass than Box B
A passenger traveling by air is allowed a maximum of 20kg luggage. A man has 4 bags weighing 3.5kg , 15kg, 2kg, 1.5kg. Find the excess weight of the luggage. Express the excess weight as a percentage of the maximum weight
Answers
Answer:
The passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.
Step-by-step explanation:
First, we need to find the weight (W) of the 4 bags:
[tex] W = 3.5 kg + 15 kg + 2 kg + 1.5 kg = 22 kg [/tex]
Now, knowing that the maximum allowed (M) is 20 kg the excess weight of the luggage is:
[tex] W_{e} = W - M = 22 kg - 20 kg = 2 kg [/tex]
We can express the excess weight in percentage as follows:
[tex] \% W_{e} = \frac{W_{e}}{M} \times 100 = \frac{2 kg}{20 kg}\times 100 = 10 \% [/tex]
Therefore, the passenger's luggage has an excess weight of 2 kg, which is 10% of the maximum weight.
I hope it helps you!
James inherited 19.5hectares of land from his father. The area of the land he inherited is 65% of the total land his father owned. Calculate the total area of the land that his father owned
Answers
Answer:
30 hectares
Step-by-step explanation:
Answer:
Step-by-step explanation:
Land area James inherited = 19.5 hectares
The area of the land he inherited is 65% of the total land his father owned.
Let
x = Total land his father owned
Land area James inherited = 65% of the total land his father owned
19.5 = 65% of x
19.5 = 65/100 * x
19.5 = 0.65 * x
19.5 = 0.65x
x = 19.5 / 0.65
x = 30
x = Total land his father owned = 30 hectares
pls help will give brainiest !!!! pls hurry pls pls
Answers
Answer:
"D" (2,4), (-2,-4)
Step-by-step explanation:
which TWO numbers round to 3 as the nearest whole number?
A. 2.226
B. 2.562
C. 2.332
D. 2.351
E. 1.975
F. 2.864
, please
Answers
What is the area of the shaded sector?
The measure of central angle XYZ is 1.257 radians.
O 101 units
O 207 units
O 40 units
O 80 units
N
8
X
Answers
The area of the sector of the given circle is: 40 units²
What is circle?A circle is a round-shaped figure that has no corners or edges. In geometry, a circle can be defined as a closed, two-dimensional curved shape.
The set of all points on a plane that are a fixed distance from a center,
A circle is a special kind of ellipse in which the eccentricity is zero and the two foci are coincident.
The circle is the shape with the largest area for a given length of perimeter.
Given the following:
r = 8
θ = 1.25 radians
Area of sector = (1/2) × r²θ = (1/2) × (8²)(1.25)
Hence, the Area of sector = 40 units²
Learn more about the circles on:
https://brainly.com/question/29142813
#SPJ7
Jerry lives in a city where all the roads are organized into square blocks and the roads either run North/South or East/West (forming a big square grid). Jerry goes out walking one day. He starts by walking 3 blocks North and then 4 blocks East. Jerry next walks 2 blocks South and 1 block West, when he realizes it is getting late and he must get home quickly. If Jerry walks on the roads home using as few blocks as possible, how many blocks will it take?
Answers
Answer:
it will take Jerry 4 blocks to get home. 3 blocks West and 1 block South
Step-by-step explanation:
We use our vector notation to describe the problem. Since Jerry walks 3 blocks North, he moves in the direction 3j. He then walks 4 blocks East in the direction 4i. He walks 2 blocks South in the direction -2j and 1 block West in the direction -i.
So, his position vector r = 3j + 4i - 2j - i = 4i - i + 3j - 2j = 3i + j.
Now if we assume his home was at the origin, then his initial position r₀ = 0i + 0j
Since he is supposed to return home from his current position, his displacement is final position - initial position = r₀ - r = 0i + 0j -(3i + j) = 0i - 3i + 0i - i = -3i - j
Since -i means movement in the West direction, -3i means movement 3 blocks West.
Since -j means movement in the Southern direction, -j means movement 1 blocks South.
So, it will take Jerry 1 + 3 blocks = 4 blocks to get home. 3 blocks West and 1 block South
express each of the following in the form p/q where q≠0
0.8+0.7bar+0.43(bar on 3 only)
plz help
Answers
Answer:
8/10+7/9+39/90
Step-by-step explanation:
expressing something in the form p/q means basically make it a fraction.
.8 = 80/100
.7bar= .77777777777 (7/9)
0.43 (bar on 3 only is)= 0.433333333333333
how to make a fraction for .777777bar
10x = 7.777777777
X = .7777777777
subtract 10x-x
we get 7/9 for .7777 (10x-x = 9 thats the denominator and, 7.7777-.7777 = 7.)
how to make a fraction for .43bar for 3 only
100x = 43.3333333333
10x = 4.33333333333
100x-10x = 43-4
43-4 = 39, and the 333333333 cancel out 39/90
(First correct answer for brainliest) Find the length of JM
Answers
Answer:
JM = 18 units
Step-by-step explanation:
∆MHN and ∆JKH are similar (by A.A.A axiom)
so, their sides are proportional
i.e.
(JM+18)/(20+15) = 18/15
or, JM + 18 = 540/15
or, JM = 36-18
hence, JM = 18
find the slope of the line
Answers
Answer:
Slope = 4
Step-by-step explanation:
Consider two set of point through which the line passes.
Let it be ( 0, 4 ) and ( -1 , 0)
Find slope .
[tex]Slope = \frac{rise}{run } = \frac{y_2 - y_ 1 }{x_2 - x_1} , \ where \ \ (x_1 , y_1) = (0, 4 ) \ and \ (x_2, y _ 2) = ( -1 , 0 )[/tex]
[tex]Slope = \frac{0-4}{-1-0} = \frac{-4}{-1} = 4[/tex]
Question 12 of 25
Suppose that f(x) = x and g(x) = { x. Which statement best compares the
graph of g(x) with the graph of f(x)?
A. The graph of g(x) is the graph of f(x) stretched vertically.
B. The graph of g(x) is the graph of f(x) stretched vertically and
flipped over the x-axis.
C. The graph of g(x) is the graph of f(x) compressed vertically and
flipped over the x-axis.
D. The graph of g(x) is the graph of f(x) compressed vertically.
SUBMIT
Answers
Answer: D
Step-by-step explanation:
Jada bought a bag
for its 75 and
sold for 85.did she Profit or lose
Answers
❀ [tex]\huge\underline{ \underline{ \tt {ANSWER :-}}}[/tex]
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
⟹ Jada will have a profit because she sold the bag for money than she had bought it for.
[tex]85 - 75 \\ = 10[/tex]
⟹ She'll have about 10 (currency name) as the profit.
⁺˚*･༓☾✧.* ☽༓･*˚⁺‧
ʰᵒᵖᵉ ⁱᵗ ʰᵉˡᵖˢ ツ
[tex]\underbrace{ \overbrace{ \tt{Carry \: On \: Learning}}}[/tex]
꧁❣ ʀᴀɪɴʙᴏᴡˢᵃˡᵗ2²2² ࿐
which expression gives the volume of a sphere with radius 4
Answers
Answer:
Expression would be (4/3) (π) (4^3)
Equation would be V = (4/3) (π) (4^3)
Step-by-step explanation:
Just plug in the radius into the volume formula!