Let y=[ 3 1 ]y=
[3
1] and u=[ 8 6 ]u=
[8
6].
Compute the distance from y to the line through u and the origin.

Answers

Answer 1

Answer:

2√5

Step-by-step explanation:

Given the coordinates y(3,1) and u(8,6)

We are to find the distance between the two coordinates

Using the formula:

D = √(x2-x1)²+(y2-y1)²

D = √(8-3)²+(6-1)²

yu = √(5)²+(5)²

yu = √25+25

yu = √50

yu = 2√5

Hence the distance between the two coordinates is 2√5


Related Questions

Find the unit vector in the direction of the vector <3,-1>

Answers

Answer:

Step-by-step explanation:

v=<3,-1>

[tex]||v||=\sqrt{x^{2} +y^{2} } \\\sqrt{(3)^{2}+(-1)^{2} } \\\sqrt{9+1} =\sqrt{10} \\u=\frac{1}{||v||} *v\\u=\frac{1}{\sqrt{10} } *<3,-1>\\u=<\frac{3}{\sqrt{10} } ,-\frac{1}{\sqrt{10} } >\\[/tex]

Help! Anyone??

The graph below shows the relationship between the distance a car is driven and the numbers of gallons of gas used.

a. Find and interpret the slope.

b. Interpret the slope.

Answers

Step-by-step explanation:

not sure about this one sorry cant help ya but i do have a hint its B

17 = 3j + 2
Can some please help me?

Answers

Give me brainliest? 15 = 3j, so j=5

evaluate 1/3y+8/15 when y=1/5

Answers

Answer: 0.6

Why: 1/3 * 1/5= 0.066
0.066+8/15= 0.6

Hope this Helps :D

PLZ PLZ HELP PLZ PLZ ILL GIVE BRAINLYEST

what is 24x83x2x16+5676

Answers

OMG ITS A FUNNY NUMBER

HAHAHAHHA

cringe, cringe, cringe, cringe, cringe

What is the result of adding these two equations?
-52 - 9y = 3
5.2 - 9y = -2

Answers

Answer:

5.7-18y=1

Step-by-step explanation:

52-9y=3

5.2-9y=-2

or,57.2-18y=1

Answer:

-18y = 46.8

Step-by-step explanation:

Adding Left hand side elements together as well as right hand side

Eq1 = equation 1

Eq2 = equation 2

LHS(left hand side of the equation)

RHS(right hand side of the equation)

LHS of Eq1 + LHS of Eq2 = RHS of Eq1 + RHS of Eq2

-52 -9y + 5.2 -9y = 3 - 2

=> -9y -9y - 52 + 5.2 = 1

=> -18y - 46.8 = 1

=> -18y - 46.8 = 0

=> -18y = 46.8

1800 yards per hour is the same rate as which of the following?
A. ____ yards per second B. _____ yards per minute

Answers

Answer:

a............ you are welcome

a. 6,480,000 yards per second. b. 108,000 yards per minute

If I triple ____ and divide the result by 6,the quotient is 18
options
32
36
63
64

Answers

Answer:36

Step-by-step explanation: i did the math

The answer is 36 because you just simple reverse the equation3y/6=18 which is 18x6/3=y 18x6=108 108/3=36

In 2013 Skittles changed the flavor of green from lime to sour apple (big mistake!!). Mrs. Rowland takes a small handful of 5 Skittles from a bin of 10,000 Skittles and gets ALL GREEN (terrible)! If 20% of the Skittles are green, what is the probability of this happening

Answers

Answer:

0.032% probability of this happening

Step-by-step explanation:

Since the distribution is very large(10,000 skittles), and there are only two possible outcomes(either the Skittles is green or it is not) we can use the binomial probability distribution as an approximation.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

Handful of 5 skittles:

This means that [tex]n = 5[/tex]

20% of the Skittles are green

This means that [tex]p = 0.2[/tex]

What is the probability of this happening?

Probability of all skittles being green, so [tex]P(X = 5)[/tex].

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 5) = C_{5,5}.(0.2)^{5}.(0.8)^{0} = 0.00032[/tex]

0.032% probability of this happening

A park is rectangular with a length of 1/2 miles. If the area of the park is 6/8 square miles, what is its width? Input your answer as a fraction.
giving 40 points! please help soon <33

Answers

Step-by-step explanation:

Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Answer:Area of Park = Length * Width

Therefore Width = Area / Length

= (6/8) / (1/2) = (6/8) * (2/1) = 3/2 miles.

Step-by-step explanation:

does anyone know this i will give brainliest

Answers

Answer: 1/4 is the answer I was given in my work.

Step-by-step explanation:

help asp
An owner of a pizza stand sold small slices of pizza for 15 cents each and large slices for 25 cents each. One night he sold 500 slices for total of $105. How many small slices of pizza did she sell?

______________ S=________

______________ L=________

Answers

Answer:

i really dunonjust need tho points sorry but have a blessed Dayyy

Step-by-step explanation:

Mary is paid $600 for 5 days of work. How much is she paid per day

Answers

Answer:

$120

Step-by-step explanation:

Pls help fast! Will mark first correct answer as brainliest!!!

Answers

Answer:

the first one is 267% and 400%

Step-by-step explanation:

but i don't know for the 2nd

Answer:

2/3 is 266.666667% of 1/4

2/3 is 400% of 1/6

Step-by-step explanation:

You just need to divide the second number by the first:

2/3 ÷ 1/4 = 2/3 · 4 = 2 2/3 which, in a percentage, is 266.666667.

2/3 ÷ 1/6 = 2/3 · 6 = 4 and 4 as a percentage is 400%

SECOND PAGE:

11.25 is 3333.3333333333% of 375

11.25 is 20% of 556.25

How many solutions does -3x+15=3(5-x) have

Answers

Answer:

Infinite solutions

Step-by-step explanation:

So if simplified it would be

-3x+15=15-3x

Which is basically the same thing if arranged

15-3x=15-3x

-3x+15 can also be 15-3x still the same thing as adding 15 to -3x

So since these are equal anything could be used

like try 0

Both get 15

Try 1

Both get 12

Try legit any number

youll get the same results (I would choose 3 positive easy ones, 0,1,2 and 3 negative ones -1,-2,-3)

help pls due today pls

Answers

Answer:

6.5y + 10

Step-by-step explanation:

Combine like terms:

0.5y + 6.5y - 0.5y + 10.5 - 0.5

= 6.5y + 10

Answer:

Step-by-step explanation:

0.5y+10.5+6.5y-0.5-0.5y=

6.5y+10

1. How many odd positive integers less than 50 are there?​

Answers

Answer:

25

Step-by-step explanation:

Evaluate
2^-4/4^0
Write your answer as a fraction in simplest form

Answers

Answer:

1/16 or 0.0625

Step-by-step explanation:

Im not sure but this may be the answer

The given fraction in simplest form is 1/16.

What is the fraction?

In Mathematics, fractions are represented as a numerical value, which defines a part of a whole. A fraction can be a portion or section of any quantity out of a whole, where the whole can be any number, a specific value, or a thing.

The given fraction is 2⁻⁴/4⁰.

Now, 2⁻⁴/4⁰ =2⁻⁴/4⁰

= 2⁻⁴/1

= 1/2⁴

= 1/16

Therefore, the given fraction in simplest form is 1/16.

To learn more about the fraction visit:

brainly.com/question/1301963.

#SPJ2

Mia is drawing an angle that is made up of 35 one-degree angles. How many degrees is Mia's angle?

Answers

Answer:

35 degrees

Step-by-step explanation:

add all the one degrees together

Find the x- and y-intercepts of the equation x – 5y = –15. Question 16 options: A) x-intercept: (0,3), y-intercept: (–15,0) B) x-intercept: (0,–15), y-intercept: (3,0) C) x-intercept: (–15,0), y-intercept: (0,3) D) x-intercept: (3,0), y-intercept: (0,–15)

Answers

answer:c)x-intercept:(-15,0) and y-intercept(0,3)

Step-by-step explanation:

x -5y= -15

x = -15

(-15,0)

y = -15 / -5

=3

(0,3)

At the store for every 2 movies sold there 8 books sold. What is the radio of books sold to movies sold?

Answers

Answer:

The ratio of books sold to movies sold at the store is 4:1.

Step-by-step explanation:

Given that:

Number of movies sold at the store = 2 movies

Number of books sold at the store =  8 books

Ratio of books sold to movies sold at the store is

Books sold : Movies sold

8 : 2

[tex]\frac{8}{2}:\frac{2}{2}[/tex]

4 : 1

Hence,

The ratio of books sold to movies sold at the store is 4:1.

Helppp this is timed!!

Answers

Answer:

The answer must be D

Step-by-step explanation:

When a shape like a trapezoid is rotated, the figure will remain the same which means that a rotation will not change the measure of the angles, or the measure of the sides, therefore d must be correct because a rotation is a rigid transformation.

John read 1/3 of his book on the first day and 1/4 of the book on the second day. What fraction of the book does John have left to read?

Answers

Answer:

5/12

Step-by-step explanation:

The whole book is 1.

So This will be your equation.

1/3 + 1/4 = 1

4/12 +3/12 = 1

7/12 = 1

Now you minus 7/12 from 1

1-7/12 is how much is left

12/12-7/12= 5/12

The fraction that represents the book john has left to read is 5/12.

What is Equation Modelling?

Equation modelling is the process of writing a mathematical verbal expression in the form of a mathematical expression for correct analysis, observations and results of the given problem.

Given is that John read 1/3 of his book on the first day and 1/4 of the book on the second day.

Assume that the fraction that represents the book john has left to read is [x/y]. Then, we can write -

1/3 + 1/4 + x/y = 1

x/y = 1 - 7/12

x/y = 5/12

Therefore, the fraction that represents the book john has left to read is 5/12.

To solve more questions on Equation Modelling, visit the link below -

brainly.com/question/14441381

#SPJ2

Select the correct answer.
Which statement correctly describes this expression?
1231 +5
ОА.
the sum of the absolute value of three times a number and 5
OB.
5 more than the absolute value of the cube of a number
O c.
the cube of the sum of a number and 5
OD.
the absolute value of three times a number added to 5

Answers

Answer:

it should be c sorry if I get it wrong

Please help, 5 (y + 2/5) = -13. Y=?

Answers

Answer:

y = -3

Step-by-step explanation:

5y + 10/5 = -13 (distribute 5)

5y + 2 = -13 (simplify fraction)

5y = -15 (subtract 2 from both sides)

y = = -3 (divide 5 from both sides)

Checked worked:

5 ([-3] +2/5)

-15 + 10/5

-15 + 2 = -13

y = -3

When you add a positive number and negative number how can you tell whether the sun will be positive or negative?

Answers

you can tell by seeing if the positive or negative number is greater and which ever one is that will be the outcome

Answer:

Because

Step-by-step explanation:

(+) × (-) = (-)

(-) × (+) = (-)

tan A = 1/5 and tan B = 1/4

Find tan 2 (A-B) ​

Answers

Given:

[tex]\tan A=\dfrac{1}{5}[/tex]

[tex]\tan B=\dfrac{1}{4}[/tex]

To find:

The value of [tex]\tan^2(A-B)[/tex].

Solution:

We know that,

[tex]\tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}[/tex]

Putting the given values, we get

[tex]\tan (A-B)=\dfrac{\dfrac{1}{5}-\dfrac{1}{4}}{1+\dfrac{1}{5}\cdot \dfrac{1}{4}}[/tex]

[tex]\tan (A-B)=\dfrac{\dfrac{4-5}{20}}{1+\dfrac{1}{20}}[/tex]

[tex]\tan (A-B)=\dfrac{\dfrac{-1}{20}}{\dfrac{20+1}{20}}[/tex]

[tex]\tan (A-B)=\dfrac{-1}{21}[/tex]

Taking square on both sides, we get

[tex]\tan^2 (A-B)=\left( \dfrac{-1}{21}\right)^2[/tex]

[tex]\tan^2 (A-B)=\dfrac{1}{441}[/tex]

Therefore, the value of [tex]\tan^2(A-B)[/tex] is [tex]\dfrac{1}{441}[/tex].

Determine whether each sequence is arithmetic or geometric. Find the next three terms,
81,27,9,3,...
A. arithmetic, 0, -3, -6
O B. geometric, 0, -3, -6
C.
geometric, 1,
1 1
39
<
OD. The sequence is neither geometric nor arithmetic,

Answers

Answer:yes

Step-by-step explanation:

A tennis racket that cost $79 is now on sale for $83. What is the
percent of change?

Answers

Answer:

5.06%

or

5.06329114%

Step-by-step explanation:

The increase if $4.

4/79 = 0.0506329114, which is 5.06%

I need help on thisss —> 8x4=8(2+_)

Answers

Answer: 2

Step-by-step explanation:

8x4=32, you have to distribute the 8 into the parentheses so you will have 8x2+8x2 which is 16+16=32

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