Find the distance from point A to the given line.
Round to nearest tenth
A(2, −1), y = −x + 4

Answers

Answer 1

Answer:

Let's see what to do buddy...

Step-by-step explanation:

_________________________________

Step (1)

To find the distance between the line which formed like :

[tex]ax + by + c = 0[/tex]

and the point which is like :

[tex]h = \binom{m}{n} \\ [/tex]

we use following equation :

[tex]d = \frac{ |a(m) + b(n) + c| }{ \sqrt{ {a}^{2} + {b}^{2} } } \\ [/tex]

_________________________________ Step (2)

[tex]y = - x + 4[/tex]

[tex]x + y - 4 = 0[/tex]

So ;

[tex]a = 1[/tex]

[tex]b = 1[/tex]

[tex]c = - 4[/tex]

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

A = ( 2 , - 1 )

°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°°

So we have :

[tex]d = \frac{ | \: 1(2) + 1( - 1) - 4| }{ \sqrt{ {1}^{2} + {1}^{2} } } = \\ [/tex]

[tex]d = \frac{ |2 - 1 - 4| }{ \sqrt{1 + 1} } = \frac{ | - 3| }{ \sqrt{2} } \\ [/tex]

[tex]d = \frac{3}{ \sqrt{2} } \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️


Related Questions

I'm Using my last points will give brainliest geometry - finding angles with justification (level 1) delta math
Please do step by step and pick reasoning for each
here are reasonings to pick from:

verticle angles

Linear pair (or triples)

Congruent angles

sum of angles in a triangle

sum of angles in a quadrilateral

Base angles of an isosceles triangle

Angle bisector definition

corresponding angles

alternate interior angles

alternate exterior angles

same - side interior angles

angle addition postulate

angle subtraction postulate

perpendicular lines form right angles

Answers

Solution :-

mAGF + mCGE + m∠AGC = 180° ( linear pair )

84° + 64° + m∠AGC = 180°

148° + m∠AGC = 180°

m∠AGC = 180 - 148

m∠AGC = 32°

As m∠AGC and m∠DGB are vertically opposite angles , their angle measure will be equal .

Which means :-

m∠AGC = m∠DGB ( vertically opposite angles )

m∠DGB = 32°

Therefore :-try:- m∠DGB = 32° Reason :-vertical angles

In the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

From the figure shown:

m<AGF  =  64° (Given)

m<CGE  =  84° (Given)

m<AGF   =  m<BGE  (Vertically opposite angles are equal)

m<AGF  =  m<BGE   =  64°

m<CGE  +  m<BGE  +  m<DGB   =  180° (Sum of angles on a straight line)

84   +  64  +   m<DGB   =   180

148   +   m<DGB    =   180

m<DGB    =   180   -  148

m<DGB    =    32°

Therefore, in the diagram shown, if m<AGF  =  64°, m<CGE  =  84°, then m<DGB    =    32°

Learn more here: https://brainly.com/question/68367

Find the missing side and angle indicated in the picture. Round your answers to the nearest tenth.
Enter your answer as equations separated by a comma.

Answers

Answer:

AC = 30 in

m∠B = 36,9°

m∠A = 53,1°

Step-by-step explanation:

1 AC

You gan get AC with the pythagorean theorem:

a²+b²=c²

We are looking for side b of the triangle, so the equation is rearranged for b.

BC²+AC²=AB²    | -BC²

AC²=AB²-BC²

AC=√(AB²-BC²)

Now the given values are used:

b=√(50²-40²)

b=√(2500-1600)

b=√900

b=30 in

2 m∠B

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠B of the triangle.

sin(m∠B)=AC/AB

sin(m∠B)=30in/50in

sin(m∠B)=0,6

m∠B=36,9°

3 m∠A

This angle can be calculated using the sine law:

sine(angle)=opposite cathete/hypothenus

We are looking for angle m∠A of the triangle.

sin(m∠A)=BC/AB

sin(m∠A)=40in/50in

sin(m∠A)=0,8

m∠A=53,1°

In 2003 Nebraska had a population of 1,739,291 while Kansas had a population of 2,723,507. What was their combined population?

Answers

Answer:

4,452,798

Step-by-step explanation:

Hope this helps

Melissa buys an iPhone for $240 and gets consumer surplus of $160. What is her willingness to pay?

Answers

Answer:

$400 = $240 + $160

Step-by-step explanation:

When simplified,the value of the expression (15 - 11)^2 + sqrt 64/4 is equal to______.

Answers

Answer:

The answer is 20

Step-by-step explanation:

Solve paranthese first then sqrt your answer then add the remainig

An online t-shirt store is having a sale. The original price of each t-shirt is p dollars. The store sells 20 t shirts and earns a total of (20p - 60) dollars.

A. Factor the expression using the GCF
20p - 60 =

B. The discount per t-shirt is $

Answers

20 (p-3) is the anwser

what is 3f+7f-f please help​

Answers

Answer:

9f

Step-by-step explanation:

3f + 7f - f = 9f

Answer:

3f + 7f -f equals 9f

Step-by-step explanation:

First, you would add 3f and 7f together making 10f. Then you will subtract 10f from f and get 9f.

You have space in your garden for 50 small flowering bulbs. Bulb A cost $0.45 each and
bulb B cost $0.65 each. Your budget allows you to spend $26.90 on bulbs. How many of bulb A and how many of bulb B can you buy?
_______number of bulb A
_______number of bulb B

Answers

Answer:

A = 28

B = 22

Step-by-step explanation:

All money will be recorded in pennies

Let A = the 45 Bulb

Let B = the 65 bulb

A + B = 50                                  (1)

45A + 65B = 2690                    (2)

Multiply (1) by   45 and subtract that from (2)

45A + 65B = 2690

45A + 45B = 2250        Subtract

          20B =   440

              B = 22

A + B = 50

A + 22 = 50

A = 50 - 22

B = 28

Check

45*28 + 22* 65  =

1260 +  1430 = 2690

I need help for number 3

Answers

Answer: 3/2

Step-by-step explanation:  24 ÷ 2² + 8 (3/2) = 3/2

Answer:

i think this is the ans

Step-by-step explanation:

plezz mark brainliest

Can anyone answer these questions?

Answers

Answer:

g^2=49

7^2=49

g=7

hope it is helpful to you

What is this picture an example of

Answers

I believe a translation because it’s like your sliding it across :)

Find g (a + 1 ), if g(x)=5x-3 ​

Answers

Answer:

g(a+1)=5a+2

Step-by-step explanation:

so (a+1) is the value of x

you can write it like this:

x=a+1

using substitution, we can swap out all 'x's for 'a+1's. like so;

g(a+1)=5(a+1)-3  -- given

        =5a+5-3   --  distribute

        =5a+2      --  simplify!

Hope i helped! have a great day! please mark brainliest!!

K divided by seven is 7

Answers

Answer:

K/7=7 K=49

Step-by-step explanation:

K=49 because if you multipy 7 and 7 because its the inverse operation you get 49.

How do you rewrite a squared • a to the power of 4 using only one exponent?

Answers

Answer:

It's probably a^6

Step-by-step explanation:

a^2 * a^4

a^2+4

a^6

Answer:

[tex]a^2*a^4\\= a^6[/tex]

I got the answer by the property: [tex]a^m*a^n = a^m^+^n[/tex]

Which types of parent function have the end behavior f(x) - infinity as x - infinity

A. a parent even-degree power function
B. a parent odd-degree power function
C. a parent even-degree root function
D. a parent odd-degree root function
E. a parent exponential function with a base greater than 1
F. a parent exponential function with a base between 0 and 1
G. a parent logarithmic function with a base greater than 1
H. a parent logarithmic function with a base between 0 and 1

Answers

Answer:

B. a parent odd-degree power function

and

D. a parent odd-degree root function

The parent function is simply the base function of a function family.

The true statements are:

B. a parent odd-degree power function D. a parent odd-degree root function

The end behavior is given as:

[tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex]

The above means that:

As x approaches infinity, the function also approaches infinity

From the list of given options, the functions with these end behaviors are:

(b) and (d)

Hence, the functions with the end behavior [tex]\mathbf{f(x) \to \infty, x \to \infty}[/tex] are:

A odd-degree power function  and a odd-degree root function

Read more about end behaviors at:

https://brainly.com/question/22723521

give the equivalent decimal 4/8​

Answers

Answer:

the answer would be 0.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

.5

4/8 can be reduced to 1/2 which is equal to 5/10, which pretty much means .5

Fill in the blank. In the triangle below, zº = ___º

Answers

Answer:

[tex]\huge\boxed{43 \textdegree}[/tex]

Step-by-step explanation:

We can use basic angle relationships to find the measure of z.

We know that all angles in a triangle will add up to 180°. Since we already know two out of the 3 angles (47° and 90° - right angles are always 90°) we can add those two up and subtract from 180 to find out the missing angle length.

[tex]47+90=137\\\\180-137=43[/tex]

Hope this helped!

Simplify 0.3(x - 2y) + 0.5x - y.

Sorry I would give more points but I really dont have much.

Answers

Answer:

0.8x - 1.6y

Step-by-step explanation:

Step 1: Write expression

0.3(x - 2y) + 0.5x - y

Step 2: Distribute 0.3

0.3x - 0.6y + 0.5x - y

Step 3: Combine like terms

0.8x - 1.6y

Answer:

0.8x - 1.6y

-step explanation:

The world population at the beginning of 1980 was 4.5 billion. Assuming the population continued to grow at the rate of approximately 1.3% per year, find a function Q(t) giving the population of the world (in billions) as a function of time t (in years)

Answers

Answer:

The function Q(t) = 4.5 billion (1.013)^t will give the population in t years

Step-by-step explanation:

Here, we want to write a function

The growth percentage is 1.3% = 1.3/100 = 0.013

The function Q(t) will be an exponential function and it will be represented as;

Q(t) = I ( 1 + r)^t

where I is the initial world population at 1980 = 4.5 billion

r is the growth percentage = 1.3% = 0.013

t is the time in years

Substituting these values, we have;

Q(t) = 4.5 billion (1 + 0.013)^t

Q(t) = 4.5 billion (1.013)^t

Adjacent angles that form a linear pair are supplementary angles. True or false?

Answers

Answer:

FALSE

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's true. If you have a straight line and you put the endpoint of a ray on that line and let the ray go in the direction it is pointing, 2 angles will be formed unless the ray is part of the line.  

The way the question is worded, you have a linear pair which means there are 2 distinct angles whose vertex is on a line.

That's the very definition of supplementary.

The cost of shipping a package is $1.85 per pound. Karen has a package that has a mass of 8 kg. How much will it cost Karen to ship the package? Use 1 kg ≈ 2.2 lb

Answers

$32.56

Did she speak to the manager

In the game of Pick-A-Ball, there are 10 colored balls: 2 red, 4 white, and 4 blue. The balls have been placed into a small bucket, and the bucket has been shaken thoroughly. You will be asked to reach into the bucket without looking and select 2 balls. Because the bucket has been shaken thoroughly, you can assume that each individual ball is selected at random with equal likelihood of being chosen. It is common in games of chance to be rewarded for obtaining unlikely results. For example, in the game of poker, hands that are less likely to occur tend to trump hands that are more likely to occur. That same concept applies in this game. It costs $10 to play Pick-A-Ball, and your prize is the reciprocal of the probability of obtaining your exact sequence of results, expressed in dollars. For example, if the probability of obtaining your exact sequence of results is 0.10, your prize is 1/0.10 and you break even. Therefore, to make a positive profit from playing Pick-A-Ball, the probability of obtaining your results must be ower than 0.10. When you reach into the bucket, your result is based on a simulation. In a simulation, random events are modeled in such a way that the simulated outcomes closely match real-world outcomes. In this simulation, your result is simulated based on the robabiliies of obtaining a ball of a particular color. Now, close your eyes! Reach into the bucket, and pick a ball.

Answers

Hello,

This question you posted is incomplete but I was able to get the complete question. I hope it would be of help to you!

1. What is the probability of selecting the color of ball that you just selected?___

Don't put your first ball back in the bucket now reach again, no peeking and pick your second ball.( Click the pick a ball icon to simulate reaching into the bucket and select your next ball)

2. What is the probability of selecting the color of ball that you just did_____

3.what is the probability of obtaining your exact sequence of result?____

4. What is your prize____

5. What is your profit from pick a ball___

Answer:

1. The probability of selecting the color of ball that you picked. (White)

The color is white. And total balls are 10

= 4/10

= 0.4

2. After first ball was picked out, you now have 3 whites left and total balls 9. probability of selecting the color of ball that you picked = 3/9

= 0.3333

3. Probability of getting exact sequence

= 0.3333x0.4

= 0.1333

4. The prize = 1/0.1333

= 7.5

5. The price would be 7.5 - 10

= -2.5

Thank you!

Can someone help me please??

Determine the intercept of the graph.

Determine the x- and y-intercepts of the graph of
x + 3y = 9
Then plot the intercepts to graph the equation.

Answers

Answer:

x- intercepts = 9

y- intercepts = 3

0000444 4034 000034​

Answers

Can someone translate this for me

Answer:

whats the question

Step-by-step explanation:

I dont get it

7.25y-15=21.25 what is y

Answers

Answer:

5

Step-by-step explanation:

7.25y = 36.25. (after adding 15 on both sides)

Then divide by 7.25 and it should come out to 5. Hope this helps! :D

7th grade math help me plzzz

Answers

Answer:

-75

Step-by-step explanation:

-50+15=-35

-35+-40=-75

i hope this helps:)

74 ÷ 2072=
PLEASE HELPPPP

Answers

Answer:

0.0357142857142857

Use a calculator ok buddy

Use the factor theorem to determine which of the following is a factor of f(x)=x^3+5x2-15x+9

x-2

x+1

x-1

x+2

show work please

Answers

x+2

Step-by-step explanation:

x+2

If x = –2 is a zero, then x + 2 = 0, so x + 2 is a factor. Similarly, if x = 1/3 is a zero, then x – 1/3 = 0, so x – 1/3 is a factor. By giving me two of the zeroes, they have also given me two factors: x + 2 and x – 1/3.

What is 1 2/3 - 2 1/3?

Answers

Answer:

-1/3

Step-by-step explanation:

What is the domain of y = csc(x)?
all real numbers
77
all real numbers except na +
where n is any integer
2
all real numbers except na, where n is any integer
all real numbers greater than 1 or less than-1

Answers

C.

ll real numbers except npi, where n is any integer

on edg2020

Other Questions
The three sides of a triangle are: 16, 12 and 22. Is the triangle Acute, Right, or Obtuse? Explain how seeds travel. Be sure to give examles to support your explantion psb quic 39 ft/min= ____ yd/s explain your reasoning How do you evaluate good sources? How many terms are in the expression 1 over 6x - 18y + 9z - 2 = To assess the effectiveness of two different ways of teaching reading, a group of 5-year-olds were recruited from a primary school. Their level of reading ability was assessed, and then they were taught using scheme one for 20 weeks. At the end of this period, their reading was reassessed, and a reading improvement score was calculated. They were then taught using scheme two for a further 20 weeks and another reading improvement score for this period was calculated. The reading improvement scores for each child were then compared. Read about each of the experiments below. For each experiment, identify (A) which experimental design was used; and (B) why the researcher might have used that design? what is irons number PLS ANSWER THE QUESTION QUICK Just to see how well you guys know about circles!What is the equation for the circumference of a circle?What is the diameter of a circle (definition)?What is the radius of a circle (definition)?What is the equation for a circle? when a natural disaster happens, what usually happens to stock prices? The primary function of the legislative branch is to make ____ that govern the country Anybody pls help me. Plus, working. Thank you When it's winter in the United States, what season is it in Australia? Summarize the goals and actions of the Jacobins. Use the introductory paragraph to answer the question.Did you know that if a car is hit with an entire carton of eggs, the cost of repainting it could be as much as $15,000? Egging cars is a popular, age-old prank, but it should not be taken lightly. If your car was hit with an egg last night during the Halloween festivities, wash it off immediately. And parents, if your children were among these pranksters, please urge them to stop. It is a little-known fact that all three parts of an egg can damage a car: the shells can scratch the paint; the egg yolk is acidic, so it can eat through the clear coat of paint and damage the base coat; and the egg whites turn into a glue-like substance after a while, making them nearly impossible to remove. There are three useful strategies for removing eggs from your car, but they will work only if you clean your car right away.What is the tone of the paragraph?A) cautionary and urgentB) amused and lightheartedC) outraged and harshD) friendly and encouraging Which of the following numbers would be an outlier if added to the data set below?507, 586, 499, 542, 615, 600, 561, 519Group of answer choices610487535380 Please help need this today need 10 safetys violations what is the slope or yhe line yoing through (-2,-1) (1,2) Which pair of numbers has a GCF of 6?a.) 2 and 12b.)8 and 24c.)12 and 18d.)1 and 6 NUMBER 4!!!!!!! if mJKP= 67, find mNKO