What is the distance from the origin to point A graphed on the complex plane below?
|5|
|13|
9
13
Answers
Answer:
√13
Step-by-step explanation:
(-3, -2) (0, 0)
distance √(9 + 4) = √13
The distance from the origin to the point A is [tex]\sqrt{13}[/tex] unit.
What is the formula to measure distance between two points ?
Let, the co-ordinates of two points in 2D plane are [tex](x_{1} ,y_{1} )[/tex] & [tex](x_{2}, y_{2} )[/tex]
Then the distance between this two points be d (say)
Therefore, [tex]d=\sqrt{(x_{2}- x_{1}) ^{2}+ (y_{2} -y_{1} )^{2} }[/tex]
What is the required distance ?The co-ordinate of point A in the graph is (-3, -2)
The co-ordinate of origin is (0, 0)
∴ The distance between (0, 0) & (-3, -2) is = [tex]\sqrt{((-3)-0) ^{2}+ ((-2) -0 )^{2} }[/tex]
= [tex]\sqrt{(-3)^{2}+(-2)^{2} }[/tex]
= [tex]\sqrt{9+4}[/tex]
= [tex]\sqrt{13}[/tex]
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Related Questions
Pleaseeeee hurryy need help!!
Answers
it is the last one
Step-by-step explanation:
by simplifying powers it becomes
8g^8/64h ^5
simplifying it further gives
g^8/ 8h^5
graph y= - x - 6 on a graph
Answers
Answer:
(Picture below)
Step-by-step explanation:
To solve this you will first need to make a coordinate plane that is 10 by 10.
After you have done that you will need to know what slope intercept form is. Slope intercept form is [tex]y=mx+b[/tex] and the equation that was given was [tex]y=-x-6[/tex]. In the formula [tex]y=mx+b[/tex], [tex]m[/tex] is the slope or rise over run and b is where the line crosses the y axis.
Now that you know the basics of slope intercept form we can start graphing. so b in this equation is -6, so we will put the first point on -6. after we have done that we can start putting the points of the line. So since the slope is just -1x we will have to go down one and go to the right one about 3 times and just to finish it up go up and left on 3 times to. And there you have it.
The countries population in 1991 was 231 million . In 1999 it’s was 233 million. estimate the population in 2003 used The exponential growth formula. Round your answer to the nearest million
Answers
Answer:
The population in 2003 was 234 million
Step-by-step explanation:
In order to calculate the population in 2003 we would have to use the The exponential growth formula as follows:
p(y)=ir^t
According to the given data:
p(y)=233 million
i=231 million
t =1999-1991
Therefore, 233 million=231 million r^(1999-1991)
(233 million/231 million)^(1/8)=r
p(y)=231 million(233 million/231 million)^((y-1991)/8)
Therefore, in 2003 p(2003)=231 million(233 million/231 million)^((2003-1991)/8)
p(2003)=231 million(233 million/231 million)^(1.5)
p(2003)=234 million
The population in 2003 was 234 million
Answer it pls and no memes
Answers
Answer:
There's two of them, of which are the 3rd and 5th option
Step-by-step explanation:
The formula for calculating a prism is length times width, times the height because it is a 3d object. Length times width is the same as B(base), so those two are the exact same. Don't let that fool you.
Here's a little abstract context:
You've got one loaf of bread right? Well, pretend it's 3 inches by 4 inches. You have one slice, one layer, with 12 inches squared as its area. To make it a loaf, you stack the layers up by multiplying that slice of bread by the value of h.
please help attachment
Answers
Answer: 12 days
Step-by-step explanation: if the track is 2214.5 miles long and Miguel is doing 21.14 miles an hours for 9 hours a day we’d need to know how much he completes in a single day
He does 9 hours and in each hour he completes 21.14 miles. So in a whole day he will complete 190.26 miles.
He needs to finish 2214.5 miles and he only completes 190.26 miles per day. So we divide to find how many days it will take him. After dividing we get the answer of 12 days
The graph below represents which systems of inequalities?
A. Y> 2x+3
y>+3
B. Y<2x+3
y
C. Y<3x+2
y<-x+2
D Y> - 2x+ 3
y>x+3
Answers
Answer:
y ≤ x + 3
y ≤ -2x + 3
Step-by-step explanation:
Graph attached shows two solid lines having equal y-intercepts as 3 units.
Since one line passes through two points (0, 3) and (-3, 0),
Slope of this line 'm' = [tex]\frac{y_2-y_1}{x_2-x_1}[/tex]
= [tex]\frac{3-0}{0+3}[/tex]
= 1
Let the equation of the this line is,
y = mx + b
where m = slope of the line
b = y-intercept
Therefore, equation of the line having slope = 1 and y-intercept = 3 units,
y = 1.x + 3
y = x + 3
Since, shaded region shown is on the left of the line y = x + 3
Therefore, y ≤ x + 3 will be the inequality with shaded area in green.
Slope of the second line passing through (0, 3) and (1.5, 0)
m' = [tex]\frac{3-0}{0-1.5}[/tex]
= -2
Therefore, equation of the second line will be,
y = (-2)x + 3
y = -2x + 3
Since shade area (In yellow) is below the given solid line, equation of the inequality will be,
y ≤ -2x + 3
suppose that all of the points on the circular dartboard shown are equally likely to be hit by a dart. If the radius of the shaded center circle is 2 and the radius of the entire dartboard is 4, what is the probability of throwing a dart and hitting the white part of the board? Round your answer to the nearest whole number.
Answers
Answer:
P(white region) = 0.75 or 75%
Step-by-step explanation:
Find the area of the shaded region:
A = πr²
A = π(2)²
A = 12.56
Find the area of the entire dartboard:
A = πr²
A = π(4)²
A = 50.24
Find the probability that the dart hits the blue region:
P(blue region) = Area of blue region/ Total Area
P(blue region) = 12.56 / 50.24
P(blue region) = 0.25
As total probability is equal to 1, find the probability of throwing a dart that hits the white part of the board by substracting 0.25 from 1
P(white region) = 1 - P(blue region)
P(white region) = 1 - 0.25
P(white region) = 0.75
Question: John and Harry went to a stationery shop. John bought 3 pens and 8 notebooks for $20.50. Harry bought 4 pens and 5 notebooks for $16.00. Identify the cost of a pen and the cost of a notebook. (pen: $1.00 notebook: $2.50) (pen: $2.00 notebook: $1.50) (pen: $1.50 notebook: $2.00) (pen: $2.00 notebook: $3.00)
Answers
Answer:
pen: $1.50 notebook: $2.00
Step-by-step explanation:
4×1.50 =6
5×2 = 10
6+10= 16
3×1.50= 4.50
8×2= 16
4.50 + 16 = 20.50
Please help me... I will mark brainliest if you do ;)
An explanation would be appreciated as well!
Answers
Answer:
86
Step-by-step explanation:
The sum of the angles in a quadrilateral is 360 degrees
since EF is parallel to HG
m < E + m< H =180
y + 10 + 2y -31 =180
-21+ 3y= 180
3y = 180 + 21
3y = 201
y=67
m <E = 67 + 10 =77
m < F = 2*67 -40= 134 -40=94
m < H = 2*67-31 = 134 -31 = 103
m < G = 360 - (m<E+ m < F + m < H)
= 360 - ( 77+94+103)
= 360- 274
=86
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?
Answers
Answer:
B) (35, 260)
Step-by-step explanation:
A veterinarian will prescribe an antibiotic to a dog based on its weight. The effective dosage of the antibiotic is given by d ≥ 1∕5w2, where d is dosage in milligrams and w is the dog's weight in pounds. Which of the following ordered pairs gives an effective dosage of antibiotics for a 35-pound dog?
A) (35, 240)
B) (35, 260)
C) (260, 35)
D) (240, 35)
Ordered pairs is composed of pairs, usually an x coordinate and a y coordinate. It refers to a location of a point on the coordinate. It matches numbers to functions or relations.
Given the relation between d is dosage in milligrams and w is the dog's weight in pounds as d ≥ 1∕5w²
For a 35 pound dog (i.e w = 35 pound). The dosage is given as:
d ≥ 1∕5(35)² ≥ 245 milligrams.
For an ordered pair (x, y), x is the independent variable (input) and y is the dependent variable (output).
The dog weight is the independent variable and the dosage is the dependent variable.
From the ordered pairs, the best option is (35, 260) because 260 ≥ 240
Answer:
(35, 260)
Step-by-step explanation:
I got it right on my quiz!
1. George want to score at least a 90% on his math tests this quarter. So far his test scores are 88, 97 and
80. What does George need to score on his last test to average at least 90%?
Define variable:
Equation:
Solution:
check my work please! it’s number 1 :)
Answers
Answer:
Yes you are correct.
Step-by-step explanation:
The best way to check theese types of questions is go back in plug in X with your answer so 88+97+80+90(which is x)=360 then divide by 4 and get 90! So yes you are correct good job!
even better morning yall
Answers
Answer:
48 cups
Step-by-step explanation:
4 gallons = 64 cups
1 gallon = 64 ÷ 4
1 gallon = 16 cups
3 gallons = 16 * 3 = 48 cups
Answer:
48 cups are in 3 gallons
Step-by-step explanation:
In the picture, it says that there are 64 cups in 4 gallons.
If we divide [tex]\frac{64}{4}[/tex], (to find out how many cups are in 1 gallon) we get 16 cups.
And 16 x 3 equals 48 cups.
Hope dis helps you
Does anyone know this need help please!!!!!!! Hurry thanks
Answers
Answer:
Add the two equations: 5y=5 so y=1, therefore x=3-2y=1.
What did you mean by Dx? If it's the determinant for x then it's:
| 3 2 |
| 2 3 | = 9-4=5
Dy is:
| 1 3 |
| -1 2 | = 2-(-3)=5
And D is:
| 1 2 |
| -1 3 | = 3-(-2)=5
x=Dx/D=5/5=1 and y=Dy/D=5/5=1
HOPE THIS HELPS AND PLS MARK AS BRAINLIEST
THNXX :)
sex(-x)-sin(-x)tan(-x)=cosx Note that each Statement must be based on a Rule chosen from the Rule menu. To see a detailed description of a Rule, select the More Information Button to the right of the Rule.
Answers
Answer:
Step-by-step explanation:
sec (-x)-sin (-x) tan (-x)=cos x
sec(x)-(-sin x)(-tan x)=cos x
1/cos x-sin x(sin x/cos x)=cos x
multiply by cos x
1-sin ²x=cos²x
or 1=sin²x+cos²x
which is true.
Help me please, someone
Answers
Answer:
[tex]351.8mi^2[/tex]
Step-by-step explanation:
Hey there!
Well the formula to find the surface area of a cylinder is,
[tex]2\pi rh+2\pi r^2[/tex],
So with the h and r being 10 and 4 lets plug it in.
[tex]2\pi (4)(10)+2\pi (4)^2[/tex]
Let's solve!
2π40 + 2π16
80π + 32π
251.3 + 100.5
= [tex]351.8mi^2[/tex]
Hope this helps :)
Answer:
351.9 mi^2
Step-by-step explanation:
The surface area of a cylinder can be found using the following formula.
[tex]SA=2\pi r^2+2\pi rh[/tex]
We know that the height of the cylinder is 10 miles and the radius is 4 miles.
h= 10 mi
r= 4 mi
[tex]SA=2\pi (4 mi)^2+2\pi (4 mi)(10 mi)[/tex]
First, evaluate the exponent 4 mi^2.
4 mi^2= 4 mi * 4 mi = 16 mi^2
[tex]SA=2\pi 16 mi^2+2\pi (4 mi)(10 mi)[/tex]
Next, multiply 16 and 2pi
[tex]SA=100.530965 mi^2+2\pi(4 mi)(10mi)[/tex]
Next, multiply 4 and 10
[tex]SA=100.530965 mi^2+2\pi40mi^2[/tex]
Multiply 40 and 2 pi
[tex]SA=100.530965 mi^2+251.327412mi^2[/tex]
Add the 2 numbers together
[tex]SA=351.858377 mi^2[/tex]
Round to the nearest tenth. The 5 in the hundredth place tells us to round the 8 to a 9 in the tenth place.
[tex]SA=351.9 mi^2[/tex]
The surface area of the cylinder is about 351.9 square miles.
Akira receives a prize at a science fair for having the most informative project. Her trophy is in the shape of a
square pyramid and is covered in shiny gold foil.
3 in
How much gold foil did it take to cover the trophy, including the bottom?
inches
Answers
Answer:
45 square inches
Step-by-step explanation:
Akira receives the prize at the science fair for having the most informative project her trophy is in the shape of a square pyramid and is covered in shiny gold foil how much gold foil did it take to cover the trophy including the bottom
Total surface = surface area of the base square + area of 4 triangles
Calculate the surface area of the base square
surface area of the square = s^2
where s= side length
s=3 in
The surface area of the base =s^2
=3^2
= 9 square inches
The surface area of the side triangles
The area of the triangle = (1/2)* side length* slant height
Side length=3 in
Slant height=6 in
substituting the values,
The area of the triangle =1/2*3*6
= 18/2
= 9 square inches
There are 4 triangles
The area of 4 triangles = 4 x 9
= 36 square inches
Therefore,
Total surface = surface area of the base square + area of 4 triangles
= 9 + 36
= 45 square inches
Answer:
IT'S 216 TRUST ME!
Step-by-step explanation:
HELP HURRYYYY If you spin the spinner below 150 times, which of the following outcomes are reasonable? Select all that apply. A) Lands on blue 60 times B) Lands on red 120 times C) Lands on yellow 90 times D) Lands on yellow 44 times
Answers
Answer \
c land on yellow 90 time
Answer:
all but B & D
Step-by-step explanation:
the sum of all data=314
314-120=194
164-44=150
I WAS WRONG THE ANSWERS WERE A AND D: DONT BELIEVE ME VIEW COMMENTS BELOW
PLEASE HELP. FIRST CORRECT ANSWER WILL GET BRAINLIEST AND 20 POINTS PLEASE HELP! I AM DESPERATE, AND NEED TO FINISH IN 30 MINUTES Write each of the following expressions without using absolute value. |z−6|−|z−5|, if z<5
Answers
Answer: 1
Step-by-step explanation: first you need to pretend that the absolute value bars are parentheses. Then substitute a with any number less that five, for example z=3
Now we can write our new equation: (3-6)-(3-5) now we have to determine if the final answer inside the parentheses is positive or negative. In the first parentheses 3-6=-3 with is negative. In our second parentheses we have 3-5=-2 which is a also negative.
Knowing that both parentheses are negative results we can set up an equation using z instead of 3:
-(z-6)-(-(z-5)) is our new equation. If we simplify this equation we get 1 for an answer
Answer:
1
Step-by-step explanation:
If z < 5, then both |z-6| and |z-5| gets negative value, so:
|z-6 | - |z-5| = -(z-6) - (- (z-5) ) = - z+ 6 + z -5 = 1Answer is: 1
helppp plz help need help
Answers
Answer:
D. highly unlikely
Step-by-step explanation:
There are 20 total outcomes.
The number 1 is only 1 outcome out of 20 outcomes.
The probability of it landing on 1 is 1/20.
0 - impossible
0.1 - highly unlikely
0.25 - unlikely
0.5 - even
0.75 - likely
0.9 - highly likely
1 - certain
1/20 = 0.05
0.05 is highly unlikely.
Answer:
highly unlikely
Step-by-step explanation:
There is 1 number 1
P( 1) = 1/20
This is highly unlikely
Help with the question attached, thank you!!
Answers
Answer:
the third one
Step-by-step explanation:
try to factor them and if it cannot be factored then it is prime
the only one that cannot be factered is the one you have highlighted so that is correct.
What is the length of AB?
A. 18
B. 48
C. 6
D. 9
Answers
Answer:
D
Step-by-step explanation:
Since AC is 18
Midpoint is B
Therefore AB is 18÷2=9.
Hope this helps.
The length of AB shown in the circle is 9.
Hence option D is correct.
In the given circle
The Centre of the circle is o
Length of chord AC = 18
Since we know that,
The line segment connecting any two locations on a circle's circumference is known as the chord of the circle. It should be emphasized that the diameter is the circle's longest chord, which runs through its centre.
And we can see that,
B is the midpoint of the chord AC of the circle
Therefore The length of AB is just half of chord AC
Therefore,
AB = AC/2
And it is given that AC = 18
Therefore,
AB = 18/2
Hence,
AB = 9
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State the domain of the glven relation.
Answers
Answer:
x ≤ -1
Step-by-step explanation:
The domain is the x-values. Since the graph shows all numbers up to -1, the domain would be all numbers less than or equal to -1:
x ≤ -1
Does anyone know this! Thanks
Answers
Answer:
C = 7pi yds
If we approximate pi by 3.14
C =21.98 yds
If we approximate pi by the pi button
C =21.99114858 yds
Step-by-step explanation:
The circumference is given by
C = 2*pi*r
C = 2 * pi * 3.5
C = 7pi yds
If we approximate pi by 3.14
C =21.98 yds
If we approximate pi by the pi button
C =21.99114858 yds
Which of the following is NOT true about complementary angles? (A) Both angles are acute. (B) Neither angle can be a right angle. (C) Their angle measures have a sum of 90°. (D) Their angle measures cannot be equal.
Answers
Answer:
(D) Their angle measures cannot be equal.
Step-by-step explanation:
(A) It's fine if both angles are acute.
(B) None of the angles can be a right angle.
(C) Their sum has to be 90°.
(D) Their angle measures can be equal.
Answer:
Step-by-step explanation:
D is correct. Complementary angles can certainly be equal (e. g., 45 and 45 degrees) or unequal (e. g., 30 and 60 degrees).
Isabella uses one-foot cubical blocks to build a rectangular fort that is 12 feet long, 10 feet wide, and 5 feet high. The floor and the four walls are all one foot thick. How many blocks does the fort contain?
Answers
Answer:
600 blocks
Step-by-step explanation:
Well this question is asking us to find the volume of the rectangular prism.
Dimensions)
L: 12
W: 10
H:5
The formula for the volume of a rectangular prism is l*w*h or B*h.
So 12*10 = 120
120 * 5 = 600 blocks
Thus,
the fort contains 600 blocks.
Hope this helps :)
Answer:
[tex]\boxed{280\ blocks}[/tex]
Step-by-step explanation:
The blocks at the base are:
Length * Width = 10 * 12 = 120 blocks
On the 2nd Layer:
=> 9+11+9+11 = 40 blocks
There are 3 more layers as the 2nd layer:
So, the blocks of these 4 layers are => 4 * 40 = 160 blocks
Total Blocks = Base Blocks + Layer Blocks
=> 120 + 160
=> 280 blocks
Question 7
Factor x^2-7x-18
Answers
Answer:
(x-9)(x+2)
Step-by-step explanation:
x^2-7x-18
Factor
What two numbers multiply to -18 and add to -7
-9*2 = -18
-9+2 = -7
(x-9)(x+2)
Type the correct answer in each box. In 2013, the population of the state of New York was approximately 19.65 million, and the population of New York City was 8,406,000. In 2013, how many people in New York state did not live in New York City? The answer in standard notation is______. The answer in scientific notation is p × 10q, where p is_____and q is ____.
Answers
Answer:
The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.
Step-by-step explanation:
Let's answer the question correctly this way:
Population of New York State = 19'650,000
Population of New York City = 8'406,000
Population that do not live in New York City = 19'650,000 - 8'406,000
Population that do not live in New York City = 11'244,000
Population that do not live in New York City in scientific notation = 1.1244 * 10⁷
The answer in standard notation is 11'244,000. The answer in scientific notation is p * 10∧7, where p is 1.1244 and q is 7.
I need a quick response! Please help!
A park ranger sees a fire from an observation deck 120 feet high. The fire is at an angle of
depression 2.5 degrees. How far is the fire from base of the observation deck ?
Answers
Answer: 2748.5 feet
Step-by-step explanation:
Given that the
Height h = 120 feet.
angle of depression = 2.5 degrees
The angle of depression is equal to the angle of elevation.
The base of the observation deck will be achieved by using trigonometry ratio.
Tan Ø = opposite/ adjacent
Opposite = height = 120 feet
Adjacent = base = ?
Substitutes the given parameters into the trigonometry ratio.
Tan 2.5 = 120 / adjacent
Adjacent = 120 / tan 2.5
Adjacent = 2748.452
Therefore, the base of the observation deck is 2748.5 feet
please solve question 1 for me
Answers
Answer:
This is WAYYYYYYYYYYY too hard. You should ask ur teacher or friends. And parents.
Help ASAP! Will give out brainliest! Question: Classify the system of equations and identify the number of solutions. 7x + 3y = 10 3y = 9 − 7x Answers: consistent, dependent; one inconsistent; one inconsistent; none consistent, dependent; infinite
Answers
Answer:
Inconsistent; No Solution
Step-by-step explanation:
I used a graphing tool to graph the equations. When graphed, the lines are parallel. The lines have the same slope but a different y-intercept. This means that there is no solution.
The system is inconsistent, and therefore has no solution.