Find the distance between Line c and Point A. Round to
the nearest tenth.

Find The Distance Between Line C And Point A. Round Tothe Nearest Tenth.

Answers

Answer 1

Answer:

The distance is approximately 3.6

Step-by-step explanation:

The distance from a point (xo, yo) to a line ax+by+c=0 is the shortest distance from the given point to any point on the line.

It can be calculated with the formula:

[tex]\displaystyle d={\frac {\mid ax_{0}+by_{0}+c\mid}{\sqrt {a^{2}+b^{2}}}}[/tex]

The coordinates of point A are (1,-2). The equation of the line must be found by knowing two clear points it passes through.

These points are (0,3) and (6,-1). First, we calculate the slope:

[tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\displaystyle m=\frac{-1-3}{6-0}=\frac{-4}{6}=-\frac{2}{3}[/tex]

The equation of the line in slope-point form is:

[tex]y=m(x-x_o)+y_o[/tex]

Taking the point (0,3) and the slope above:

[tex]\displaystyle y=-\frac{2}{3}(x-0)+3[/tex]

Multiply by 3:

[tex]3y=-2x+9[/tex]

Moving all terms to the left side:

[tex]2x+3y-9=0[/tex]

We now have all the required values to calculate the distance:

a=2, b=3, c=-9, xo=1, yo=-2

[tex]\displaystyle d={\frac {\mid 2\cdot 1+3\cdot (-2)+(-9)\mid}{\sqrt {2^{2}+3^{2}}}}[/tex]

[tex]\displaystyle d={\frac {\mid 2-6-9\mid}{\sqrt {13}}}\approx 3.61[/tex]

The distance is approximately 3.6


Related Questions

It took Jaytree 38 seconds to rip about half a DVD.
About what is Jaytree's "ripping rate” in DVDs per
minute?

Answers

Answer:1

Step-by-step explanation:

Use the similar triangles on the coordinate plane to determine the equation for the given line. Y = three-fourths x y = four-thirds x y = 4x 3 y = 3x 4.

Answers

The equation of the line plotted in the graph with the similar triangles on the coordinate plane is y equal to three-fourths x.

Symbolically, it can be written as,

[tex]y=\dfrac{3}{4}x[/tex]

What is the equation of line?

The equation of the line is the way of representation of a line in the equation form.

The equitation of the lines represents the line by the set of points on which the line lies or passes through in the coordinate system.

[tex]y=mx+c[/tex]

Here, (m) is the slope of the line and (c) is the y intercept.

The similar triangles on the coordinate plane to determine the equation for the given line. The line and the triangle is graphed in the image attached below.

The line passes from origin point (0,0). The coordinate points on the line say P are (4,3) as shown in the image. Thus, for this the slope of the line can be given as,

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}\\m=\dfrac{3-0}{4-0}\\m=\dfrac{3}{4}[/tex]

The equation of the line for 3/4 slope is,

[tex]y=\dfrac{3}{4}x[/tex]

Hence, the equation of the line plotted in the graph with the similar triangles on the coordinate plane is,

[tex]y=\dfrac{3}{4}x[/tex]

Learn more about the equation of line here;

https://brainly.com/question/13763238

Answer:

Its A. :]

(Edge 2022)

it says solve for x pls help i’m marking brainliest!!!!

Answers

Answer:

x= 9

Step-by-step explanation:

i got 9 by subtracting 54-45 and got 9 therefore x=9

A salt-water tank needs to contain 5 gallons of water for each 1-inch fish. If lan has a 30-gallon tank, predict how many inch-long fish he can have. S​

Answers

Answer:

6in

Step-by-step explanation:

Let's organize what we know.

- 5gal/1in

- 30gal tank

Since we need to find the inches of the fish he can have, we can set up a proportion like this:

5/1=30/x

We can cross multiply.

5x=1(30)

Simplify: 1*30=30

5x=30

Now we can isolate the variable.

5x=30

/5   /5

x=6

Kayla buys a shirt for 18. 9 she pays with a $10 bill homw much change should she reseive

Answers

Answer:

none

Step-by-step explanation:

Kayla is buying an $18.90 shirt for $10, she is underpaying $8.90.

Therefore, she needs to pay another $8.90 to pay for the full price of the shirt.

Unless there was a discount on the shirt, this answer makes the most sense to me.

The material Santiago will use to build the ramp cost $2.20 per square foot. Find the total cost of materials for the ramp? All sides are; 21.7, 20, 12 for perimeter and 8.5 for the height.

Answers

Answer:Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?

Step-by-step explanation:

Santiago is playing a game on his computer and is designing a ramp that bikers will jump off to land in a foam pit. His designs are shown below. Use the designs to answer each question. RAMP FOAM PIT 24 ft 21.7 ft 8.5 ft 12 ft 99 wa 20 ft 1. What is the total surface area of the ramp? 2. Santiago wants the lateral surfaces of the ramp to be painted red. How many square feet of the ramp will be painted red? 3. The material Santiago will use to build the tamp costs $2.20 per square foot. What will the total cost of building the ramp be? 4. The foam pit is a rectangular prism, but the top of the pit will be open. What is the total surface area of the foam pit? 5. The lateral surfaces of the foam pit will be lined with extra padding. How many square feet will be lined with extra padding? 6. The total cost of materials to build the foam pit is $1,285.20. What is the cost of materials per square foot? 7. Santiago's total budget for the materials to build the ramp and the foam pit is $3,000. With his current design, will be he over budget or under budget, and by how much?

BRAINLIEST HURRYYY
The equation of a linear function is y = –2x + 3. Which table contains a set of points that lie in the graph of this function?

Answers

Answer:

The answer is A)

Step-by-step explanation:

To find out table contains a set of points that lie in the graph of this function , we have to hit and trial method ,

when we put the value of x in y = –2x + 3 this equation so ,

taking x = 1 , then the value of y is

=> y = -2(1)+3

=> y = -2+3

=> y = 1

taking x = 0 , then the value of y is

=> y = -2(0)+3

=> y = 3

now talking x = -3 , then the value of y is

=> y = -2(-3) +3

=> y = 6+3

=> y = 9

so , the option A is the right answer

Answer:

A)

Step-by-step explanation:

Given linear function:  y = -2x + 3

Therefore, the slope is -2 and the y-intercept is (0, 3)

Therefore, we are looking for a set of ordered pairs that has a rate of change of -2

⇒ as the x-value increases by 1 unit, the y-value decreases by 2 units

i.e. as the x-value decreases by 1 unit, the y-value increases by 2 units.

The only set of ordered pairs that follows this rule is A)

Let's check by substituting the values of x = 1, x = 0 and x = -3 into the function:

when x = 1 → -2(1) + 3 = 1

when x = 0 → -2(0) + 3 = 3

when x = -3 → -2(-3) + 3 = 9

Confirming that the set of ordered pairs in A) lie on the graph of the given function.

Anyone can figure this out

Answers

Answer:

... there's nothing there. you forgot to attach something i believe

Step-by-step explanation:

it says leave ur answer as radicals in simplist form pls help!!! marking brainliest

Answers

Answer:the one near 45 is 5 and the straight line is 4

Step-by-step explanation:

Complete the table below. Show all your work. ILL PUT YOU AS BRAINLIEST PLSSS

Answers

Answer:

See below.

Step-by-step explanation:

y=2x+3

-----

y=2(-2)+3

y=-4+3

y=-1

y=2(-1)+3

y=-2+3

y=1

y=2(0)+3

y=0+3

y=3

y=2(1)+3

y=2+3

y=5

y=2(2)+3

y=4+3

y=7

-hope it helps

Distributive property
[tex]6(2x + y) + 2y - 12x[/tex]
How can I simplify this expression and justify it ​

Answers

Answer:

8y

Step-by-step explanation:

=(6)(2x)+(6)(y)+2y+−12x

=12x+6y+2y+−12x

Combine Like Terms:

=12x+6y+2y+−12x

=(12x+−12x)+(6y+2y)

=8y

Answer:

8y

Step-by-step explanation:

6(2x+y) comes first 12x+6y then you take 2y and add it from 6y giving you 8y and that gives you the most simplified answer 12x and -12x cancel each other out

If the equation is further simplified, which equation for a parabola does it become? x2 = 4py x2 = 2y2 2p2 y2 = 4px y2 = 4py.

Answers

The equation for a parabola does become [tex]\rm x^2=4py[/tex].

What is parabola?

A symmetrical open plane curve formed by the intersection of a cone with a plane parallel to its side. The path of a projectile under the influence of gravity follows a curve of this shape.

Given

The derivation for the equation of a parabola with a vertex at the oriin.

The equation of the parabola can be written as;

[tex]\rm (x)^2 + (y - p)^2 = (0)2 + (y + p)2\\\\x^2 + y^2 - 2py + p^2 = y^2 + 2py + p^2\\\\ x^2= 2py+2py\\ \rm \\x^2=4py[/tex]

Hence, the equation for a parabola does become [tex]\rm x^2=4py[/tex].

To know more about parabola click the link given below.

https://brainly.com/question/3719015

Select from the drop-down menus to correctly complete the statement.
This polygon has
Choose...
sides, so it is a
Choose...
This polygon has
Choose...
3
4
5
6
sides, so it is a
triangle
quadrilateral
pentagon
hexagon

Answers

Answer:

6 sides, hexagon

Step-by-step explanation:

If you count the sides you see there are 6, and 6 sided figures are hexagons.

A real estate agent is trying to find the average credit score of some of her clients. She compiled the scores in the table below. What is the mean credit score in this group? (Round to the nearest whole point, if applicable. ) 787 615 550 674 784 773 620 720 704 a. 668 b. 784 c. 692 d. 704 Please select the best answer from the choices provided A B C D.

Answers

Answer:

Step-by-step explanation:

First Add the scores.

Score Total = 787 + 615 + 550 + 674 + 784+ 773 + 620 + 720 + 704

Score Total = 6227

Now divide by the number of members of the sum.

Number of members = 9

The average score = Total Score / number of members

The average score = 6227 / 9 = 691.9

The average score = 692 which is C

Find the equation in slope-intercept form of a line through (2, 4) with slope 0. Oy=2 Ox=2 Oy=4 0 x = 4​

Answers

X=5 because that’s the slope of the question

HELP WILL GIVE BRAINLIEST!!!!

Answers

Answer:

- 1/9

Step-by-step explanation:

- ( 3 ^ -5) ( 3 ^3)

We know that a^ b* a^c = a^ ( b+c)

- ( 3^(-5+3))

-( 3 ^ (-2))

We know that a^ -b = 1/a^b

- ( 1/ 3^2)

- 1/9

Answer:

- 1/9

Step-by-step explanation:

stop deleting my answer Brainly :) its right

( -6p - 8 ) - ( 2p - 6 ) plz :)

Answers

Answer:

-8p-14

Step-by-step explanation:

Completing the Square
ALGEBRA
Please solve this! Giving Brainliest

Answers

Answer:

Step-by-step explanation:

1:    x^2 + 6x = - 7

2:   x^2 + 6x + (6/2)^2 = -7 + (6/2)^2

2:   x^2 + 6x + 9 = - 7 + 9    This might be a 2

2:   x^2 + 6x + 9 = 2

3:   (x + 3)^2 = 2

4:   √(x + 3)^2 = √2  

5:    x + 3 = +/- √2

6:    x = -3 +/- √2

solve 2x^2+x-6=0

1. {-3/2, 2}

2. {}

3. {-2, 3/2}

Answers

Answer:

3. {-2, 3/2}

Step-by-step explanation:

[tex]\mathrm{Solve\;with\;the\;quadratic\;formula}[/tex]

[tex]x_{1,\:2}=\frac{-1\pm \sqrt{1^2-4\cdot \:2\left(-6\right)}}{2\cdot \:2}[/tex]

[tex]\sqrt{a^1-4*2(-6)=7}[/tex]

[tex]x_{1,\:2}=\frac{-1\pm \:7}{2\cdot \:2}[/tex]

[tex]\mathrm{Separate\:the\:solutions}[/tex]

[tex]x_1=\frac{-1+7}{2\cdot \:2},\:x_2=\frac{-1-7}{2\cdot \:2}[/tex]

[tex]x=\frac{-1+7}{2*2}:\frac{3}{2}[/tex]

[tex]x=\frac{-1+7}{2*2}:-2[/tex]

[tex]\mathrm{The\:solutions\:to\:the\:quadratic\:equation\:are:}[/tex]

[tex]x=\frac{3}{2},\:x=-2[/tex]

~Learn with Lenvy~

Answer:

Step-by-step explanation:

answer- {-2, 3/2}

steps are in the image.

There are two jars once I contains two red gumballs three green gumballs and one yellow gumball. The other jar contains two blue balloons in three purple balloons. Jeff randomly draws one gumball and then one balloon what is the probability will get one red gumball and one blue balloon

Answers

Answer:

P(1 red gumball and 1 blue balloon) =[tex]\frac{2}{15}[/tex]

Step-by-step explanation:

There are two jars.

One jar has 2  red, 3 green and 1 yellow gumball.So, there are 2+3+1=6 gumballs.

Another jar has 2 blue and 3 purple balloons. Totally there are 2+3=5 balloons.

So,

Probability of drawing 1 red gumball from jar 1 =[tex]\frac{2}{6}[/tex]

Probability of drawing 1 blue balloon =[tex]\frac{2}{5}[/tex]

So, P( 1 red gumball, 1  blue balloon)= [tex]\frac{2}{6} *\frac{2}{5} =\frac{2}{15}[/tex]

3xsquared - 3x -1 = x + 1

Answers

Here use the quadratic formula

Answer:

x = 2 + √10

    -------------

           3

x =  2 - √10

     ------------

            3

Step-by-step explanation:

3x² - 3x - 1 = x + 1

         -x - 1  -x  -  1

3x² - 4x - 2 = 0

-b +/- √b² - 4ac              -(-4) +/- √(-4)² - 4(3)(-2)         4 +/- √16 + 24

         ------------------    =            ----------------             =   -----------------

               2a                                 2(3)                                  6

4+/-√40        4 + √ 4 × 10         4 +2√10         2 + √10

------------  =      -------------     =     ------------    =   ------------

     6                       6                        6                  3

                     4 - √ 4 × 10           4 - 2√ 10           2 - √10

                      ----------------    =   -----------------   =    ---------------

                               6                         6                        3

I hope this helps!

Which of the following is a way that anorexia nervosa is different from bulimia nervosa?.

Answers

One key difference between anorexia nervosa and bulimia is the type of nocive relationship patients with these disorders have with food.

What do anorexia nervosa and bulimia have in common?

These two are eating disorders, which means they are diseases that involve nocive or abnormal relationships with food.

What makes these disorders different?Anorexia nervosa patients avoid eating, while bulimia patients eat but use purges such as induced vomit to avoid gaining weight.Patients from anorexia nervosa often have a low weight, while a patient from bulimia can still have a normal weight.Binge eating is common in bulimia but not in anorexia nervosa.

Learn more about anorexia in: https://brainly.com/question/2681827

For which values of c does the quadratic equation x^2-2x +c=0 have
One root equal to zero and one negative root

Answers

Answer:

There is no values of c that makes it true

Step-by-step explanation:

The roots of the quadratic equation x² – 2x + c = 0 are 0 and –2. Then the value of c is zero.

What is a quadratic equation?

It is a polynomial that is equal to zero. Polynomial of variable power 2, 1, and 0 terms are there. Any equation having one term in which the power of the variable is a maximum of 2 then it is called a quadratic equation.

For which values of c does the quadratic equation

x² – 2x + c = 0 ...1

The one root is equal to zero and one negative root.

Let negative a be the one root.

x = 0, –a

Then we have factorized the equation,

(x)(x + a) = 0

On solving, we have

x² + ax = 0 ...2

In comparing equation 2 with equation 1, we have

a = –2 and c = 0

More about the quadratic equation link is given below.

https://brainly.com/question/2263981

1.6 is what percent of 5?

Answers

Answer:

32%

Step-by-step explanation:

Anna, Irina, Avel, and Vlad are going on a road trip. The following table shows an incomplete probability model for who will be driving during any given kilometer.
Person Probability
Anna \dfrac18
8
1

start fraction, 1, divided by, 8, end fraction
Irina \dfrac38
8
3

start fraction, 3, divided by, 8, end fraction
Avel ??question mark
Vlad \dfrac18
8
1

start fraction, 1, divided by, 8, end fraction
What is the probability that Avel will be driving during any given kilometer?
Choose 1 answer:

Answers

Answer:

The answer is 3/8.

Step-by-step explanation:

I watched it on khan academy. im just unsure how to explain it. Lol but im 100% sure it is 3/8. Have a nice day hope this helped! :3

Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans. she took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. if she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. approximately how much more in interest over the life of the loan does nellie have to pay? a. $68,510.16 b. $53,696.16 c. $32,206.32 d. $14,814.00 please select the best answer from the choices provided a b c d

Answers

The amount more in interest over the life of the loan which Nellie have to pay is $14814.

What is bankruptcy?

Bankruptcy is the procedure by which the people who are unable to pay the debts to creditors, may get relief from some or all the debts.

Nellie has a bankruptcy on her credit report and therefore pays higher interest rates on her current loans.

Nellie took out a car loan for $45,000 payable for 6 years at an interest rate of 15%. Thus, the interest is,

[tex]I=\dfrac{45000\times6\times15}{100}\\I=40500[/tex]

If she had not applied for bankruptcy, she would have been able to take out the loan at a rate of 6%. In this case, the interest paid would be,

[tex]I=\dfrac{45000\times6\times6}{100}\\I=16200[/tex]

The difference between the interest paid would be,

[tex]I=40500-16200\\I=24300[/tex]

Hence, the amount more in interest over the life of the loan which Nellie have to pay is $14814.

Learn more about the bankruptcy here;

https://brainly.com/question/7780877

Are Lines DE and GH Congruent?

Answers

Answer:

No

Step-by-step explanation:

This time I did the work on paper lol

answer in fraction: 14 7/27

Answers

Answer:

385/27

Step-by-step explanation:

The equation 5x − 8y = 20 expresses a linear relationship between x and y. The point (15, 7) is either on the graph of this line, above it, or below it. Which? How do you know?

Answers

Answer:

Below

Step-by-step explanation:

5 (15) - 8 (7)= 20

75-56=20

19=20

19<20

vivi is a drummer for a band. she burns 756 calories while drumming for 3 hours. she burns the same number of calories each hour how many calories does vivi burn per hour ​

Answers

Answer:

252 cph

Step-by-step explanation:

756 divide by 3 is 252

Answer:252

Step-by-step explanation:

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