Answers
Answer:
The answer is option BStep-by-step explanation:
The distance between two points can be found by using the formula
[tex]d = \sqrt{( {x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
( -2 , 1) and ( 4,3)
The distance is
[tex]d = \sqrt{( { - 2 - 4})^{2} + ({1 - 3})^{2} } \\ = \sqrt{ ({ - 6})^{2} + ({ - 2})^{2} } \\ = \sqrt{36 + 4} \\ = \sqrt{40} \\ = 2 \sqrt{10} \\ = \:6.324555[/tex]
We have the final answer as
6.3Hope this helps you
Step-by-step explanation:
Hey there!!!
Given, the points are (4,3) and (-2,1).
Then,
x1=4 x2=-2
y1=3 y2=1
Now, Using distance formula,
[tex](distance ) = \sqrt{ {(x2 - x1)}^{2} + ( {y2 - y1)}^{2} } [/tex]
Put all values.
[tex](distance ) = \sqrt{ {( - 2 - 4)}^{2} + {(1 - 3)}^{2} } [/tex]
Simplify them.
[tex](distance ) = \sqrt{( { - 6)}^{2} + ( { - 2)}^{2} } [/tex]
[tex](distance ) = \sqrt{36 + 4} [/tex]
[tex](distance ) = \sqrt{40} [/tex]
(distance )= 6.3245 units.
Therefore, the distance between the points(4,3) and (-2,1) is 6.32units.
So, your answer is option B.
Hope it helps....
Related Questions
A rectangle has an area of 189 m2 and the length of 21m. What is it’s width?
Answers
Answer:
9 meters
Step-by-step explanation:
189 divided by 21 is 9 (:
Answer:
9m
Step-by-step explanation:
To find the width of a rectangle given area and length all you need to do is take your area (189 in this case) and divide it by your length. (In this case 21.)
Here's our equation:
189 ÷ 21 = 9
(remember the meters squared is important if you're finding area. This doesn't apply in our case as we're only finding the width. To be more clear the "m² and/or m^2")
9m is your answer.
Hope this helps and have a nice day!
A certain pickup truck gets 20mpg in the city and 28 mpg on the highway. If the driver drives 270 mi on 11 gal of gas, determine the number of city miles and highway miles that the truck was driven
Answers
Answer:
95 city and 175 highway miles.
Step-by-step explanation:
The driver gets 20 mpg in city, and 28 mpg on the highway.
An equation that could be written is
20x+28y=270
This equation accounts for the distance traveled.
x+y=11
This equotion accounts for how many gallons were driven.
Multiply the bottom equation by 20, so you can solve the set of equations.
20x+28y=270
20x+20y=220
subtract them
8y=50
y=6.25
now plug this back into x+y=11
x+6.25=11
x=4.75
Now 4.75×20=95 city miles and 6.25×28=175 highway miles.
Solve for x. (12x + 4) - 8 = 12 A) 30 B) 33 C) 36 D) 40
Answers
Steps to solve:
(12x + 4) - 8 = 12
~Combine like terms
12x - 4 = 12
~Add 4 to both sides
12x = 16
~Divide 12 to both sides
x = 16/12 or x = 4/3
Best of Luck!
If x = 13, then the value of Vx – 5 is Ob Oa a rational number an irrational number Ос undefined d an integer
Answers
Answer: I tried and I think the answer is a
Step-by-step explanation:
write four solution of the equation=2x+y=7
Answers
Step-by-step explanation:
x = 1, y = 5
x = 2, y = 3
x =3, y= 1
x=4 y=-1
4 x (50 – 1)
4 x 50
50 - 4 x 1
-
Answers
Answer: 4 times (50-1)=196
4 times 50 =200
50-4 times 1 =46
Step-by-step explanation:
hOW you would draw a diagram to solve for the following expression.
Captionless Image
Answers
Answer:
whats the expression?
Step-by-step explanation:
please help me:(( Both mitosis and meiosis begin with a diploid cell that contains replicated chromosomes. What are the main differences between these two processes, and what types of daughter cells produced by each? A Meiosis has four cell divisions and results in four haploid daughter cells with genetic variation, while mitosis has two cell divisions and results in two identical daughter cells. B Meiosis has two cell divisions and results in four haploid daughter cells with genetic variation, while mitosis has one cell division and results in two identical daughter cells. CMitosis occurs in gametes to increase genetic variation in daughter cells, while meiosis occurs in body cells for growth and repair. DMitosis produces genetic variation in daughter cells and increases the number of chromosomes, while meiosis occurs in body cells for growth and repair.
Answers
Answer:
Meiosis has two cell divisions and results in four haploid daughter cells with genetic variation, while mitosis has one cell division and results in two identical daughter cells.
Step-by-step explanation:
What is the average rate of change between:
x=1 and x=2
x=2 and x=3
x=3 and x=4
Answers
You are able to count pennies at a rate of 1 penny per second. How many
days will it take for you to count 268,453 pennies?
Answers
ITS ALMOST DUEE I’ll brainlist
Answers
Answer:
10/3
Step-by-step explanation:
-3(9+2y) need help please
Answers
Answer:
-27 - 6y
Step-by-step explanation:
Marisol noticed that she does not have a common factor.
Which accurately describes what Marisol should do
next?
Marisol grouped the terms and factored the GCF out of
the groups of the polynomial 6x3 - 22x2 - 9x + 33. Her
work is shown.
Step 1: (6x3 – 22x2) - (9x + 33)
Step 2: 2x²(3x – 11) - 3(3x + 11)
O Marisol should realize that her work shows that the
polynomial is prime.
O Marisol should go back and group the terms in Step 1
as (6x3 - 22x2 - (9x - 33).
O Marisol should go back and group the terms in Step 1
as (6x3 – 22x2) + (9x - 33).
Marisol should refactor the expression in Step 2
as 2x²(3x + 11) - 3(3x + 11).
Answers
Answer: option 2 describes best
Step-by-step explanation:Given Marisol grouped the terms and factored the GCF out of the groups of the polynomial 6x3 – 22x2 – 9x + 33. Her work is shown.
Step 1: (6x3 – 22x2) – (9x + 33)
Step 2: 2x2(3x – 11) – 3(3x + 11)
Marisol noticed that she does not have a common factor. Which accurately describes what Marisol should do next?
Marisol should realize that her work shows that the polynomial is prime.
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) – (9x – 33).
Marisol should go back and group the terms in Step 1 as (6x3 – 22x2) + (9x – 33).
Marisol should refactor the expression in Step 2 as 2x2(3x + 11) – 3(3x + 11).
According to question Marisol grouped the terms and has done factorisation of the given polynomial 6x^3 – 22x^2 – 9x + 33.
In step 1 she has written as (6x^3 – 22x^2) – (9x + 33)
Marisol has to go to step 1 in order to correct her mistake. She has to group the expression as (6x^3 – 22x^2) – (9x – 33) so that she will be able to get the expression as
6x^3 – 22x^2 – 9x + 33 after opening the brackets.
The accurately describes what Marisol should do next will be;
⇒ Marisol should go back and group the terms in Step 1,
as (6x³ - 22x²) - (9x - 33)
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
Marisol noticed that she does not have a common factor.
And, Her work is shown.
Step 1: (6x³ - 22x²) - (9x + 33)
Step 2: 2x²(3x – 11) - 3(3x + 11)
Now,
Since, The polynomial is,
⇒ 6x³ - 22x² - 9x + 33
And, Her work is shown.
Step 1: (6x³ - 22x²) - (9x + 33)
Step 2: 2x²(3x – 11) - 3(3x + 11)
Clearly, She make mistake on step 1 as to take negative sign common.
Hence, The accurately describes what Marisol should do next is;
⇒ Marisol should go back and group the terms in Step 1,
as (6x³ - 22x²) - (9x - 33)
Learn more about the mathematical expression visit:
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Please help me I don’t understand
Answers
Answer:
Step-by-step explanation:
x + 50 + 60 + x + 70 = 180
2x + 180 = 180
2x = 0
x = 0
The process of knowledge discovery and data mining is best characterized as:_______a. machine learning, use of statistical methods, large amounts of data.b. a process wherein patients are selected for clinical trials.c. "fishing" for information in data.d. cleaning data for further analysis using other methods.
Answers
Answer: a. machine learning, use of statistical methods, large amounts of data
Step-by-step explanation: Deriving patterns, insights and information which aren't visible from raw information or data could be done through the data mining process. Data mining is performed through a combination of statistical methods and machine learning applied on large amount of dataset, machine learning affords systems the ability to learn on their own without hardcoding or explicitly programmed with statistical methods being a core part of the algorithm used to drive the process of making accurate prediction.
At the airport, 4 planes land every 8 minutes. At this rate, how many planes will land in one hour? (Hint: 1 hour = 60 minutes)
Answers
Answer:
30 planes per hour
Explanation:
1.) 60/8= 7.5
2.) 7.5 x 4 = 30
The number of airplanes that land in one hour is 30 airplanes
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
The number of planes that land every 8 minutes = 4 planes
The number of planes that land every minute =
The number of planes that land every 8 minutes / 8
The number of planes that land every minute = ( 4 / 8 ) planes
= 1/2 plane
Now ,
1 hour = 60 minutes
The number of planes that land every hour =
The number of planes that land every minute x 60
The number of planes that land every hour = ( 1/2 ) x 60
= 30 planes
Hence , the number of airplanes that land every hour is 30 airplanes
To learn more about equations click :
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Use set notation, and list all the elements of the set.
{x | x is a natural number greater than 14 and less than 22}
The set is { }
Answers
Answer:
Step-by-step explanation:
{15,16,17,18,19,20,21}
y varies directly as the square of x when x=2 then y =16 find y when x=8
Answers
Answer: y= 64
Step-by-step explanation:
If y is 16 when x is 2 This means if x is 8 y will be 64.
Set up the proportional equation
[tex]\frac{2}{16} = \frac{8}{y}[/tex] Cross multiply
2y = 128
y= 64
The value of y when x=8 is 256.
It is given that
y ∝ x²
So, y = kx²....(1)
where k = constant of proportionality
What is the constant of proportionality?It relates two parameters that are mutually dependent.
It is given that
When, x=2, y=16
This means, (1) becomes, 16=k.2² ⇒k =4
So, (1) becomes, y =4x²
So, when x= 8, y= 4*8²
So, y =256 when x=8
Therefore, The value of y when x=8 is 256.
To get more about the constant of proportionality visit:
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Which of these numbers is expressed properly in scientific notation? Why?
A. 54.263 x 10E7
B 5.4263 x 10E5
Answers
Write a polynomial function in standard form with zeros at 0, 1, and 2.
f(x) = x(x - 1)(x - 2)
f(x) = x(x + 1)(x + 2)
f(x) = x3 – 3x2 + 2x
f(x) = x3 + 3x2 + 2x
Answers
Answer:
the first one is correct
Answer:
b
Step-by-step explanation:
Please help, What (x+y)(x-y)
Answers
Answer:
x^2-y^2
Step-by-step explanation:
positive x * positive x = x^2
positive y * negative y = -y^2
Answer:
[tex]x^{2}[/tex]-[tex]y^{2}[/tex]
Step-by-step explanation:
(x+y)(x-y)
Use Foil
x(x-y)=[tex]x^{2}[/tex]-xy
y(x-y)=xy-[tex]y^{2}[/tex]
Combine
[tex]x^{2}[/tex]-xy+xy-[tex]y^{2}[/tex]
-xy and xy cancel each other out so our final answer is
[tex]x^{2}[/tex]-[tex]y^{2}[/tex]
What is the mean of the following set of data? Round your answer to two decimal places.
{75, 79, 65, 77, 73, 79}
a 75.51
b 75.23
c 74.33
d 74.67
Answers
Answer:
74.67
Step-by-step explanation:
mean= sum of all data / total no. of data
= 75+79+65+77+73+79/6
= 74.66667
by rounding off,
ans is 74.67
Points are identified in pictures by
Answers
Answer:
Graphs
Step-by-step explanation:
Corrine picked 1/4 gallon of blackberries. She poured the berries equally into 4 containers. What fraction of a gallon is in each container?
Answers
Answer:
1/16 of a gallon
Step-by-step explanation:
total = 1/4 gallon
split into 4 containers
1/4 ÷ 4 = 1/4 • 1/4 = 1/16
1/16 of a gallon
A musical group sells hats at their concerts. After one concert, they sold 120 out of 200 white hats and 210 out of 300 black hats. Which ones are true?
60% of white hats were sold
70% of black hats were sold
A greater percentage of white hats were sold
A greater percentage of black hats were sold
Answers
Answer: The musical group sold 60%of the white hats and 70%of the black hats.
A greater percentage of black hats were sold.
Step-by-step explanation: to answer this question we have to divide the number of hats sold by the number of total hats for each case.
Then, we have to multiply that result by 100, to obtain the result in percentage form.
White Hats: (120/200) x 100 =60%
Black hats: (210/300) x 100= 70%
The musical group sold 60%of the white hats and 70%of the black hats.
A greater percentage of black hats were sold. (Since 70 > 60 )
What is The point that cuts a segment into two
equal segments
Answers
Answer:
The midpoint of a segment is a point that divides the segment into two congruent segments. A point (or segment, ray or line) that divides a segment into two congruent segments bisects the segment.
Step-by-step explanation: it divides it somehow hope it helps
*) Which of the following numbers is 90 divisible by?
Answers
What is 0.04 in two other forms? Write each fraction in its simplest form.
Answers
Answer:
In fraction form: 1/25
In percent: 4%
Step-by-step explanation:
Write the given statement using symbols type any Quetion do not simplify The sum of X and eight is the product of seven and 10
Answers
Answer:
[tex]x+8=7*10[/tex]
Step-by-step explanation:
Sum of X and 8: [tex]x+8[/tex]
Product of seven and 10: [tex]7*10[/tex]
Put them together:
[tex]x+8=7*10[/tex]
do you guys know whats the correct classification of 3 over 8?
Answers
Answer: 3/8
Step-by-step explanation:
