Find the distance from point $A\left(15,-21\right)$ to the line $5x+2y\ =\ 4$ . Round your answer to the nearest tenth.

Answers

Answer 1

The distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Given the coordinate (15, -21) and the line 5x + 2y = 4

In order to get the point on the line 5x + 2y =4, we can a point on the line

Let x = 0

5(0) + 2y = 4

2y = 4

y = 2

The point (0, 2) is on the line.

Find the distance between the point (15, -21) and (0, 2) using the distance formula

[tex]D=\sqrt{(2+21)^2+(0-15)^2} \\D=\sqrt{23^2+15^2}\\D=\sqrt{754}\\D= 27.46units[/tex]

Hence the distance from point (15,-21) to the line 5x + 2y = 4 is 27.5 units

Learn more here: https://brainly.com/question/22624745


Related Questions

is 6y +2 - y + 3 and 3 - y + 2 + 6y the same

Answers

Answer:

Step-by-step explanation:

Yes.

All you have done is changed the order. They are exactly the same.

You can sort of verify this by using

-4 + 6 - 8 + 2 = - 4

2 + 6 - 4 - 8 =  

8 - 12 = - 4

GEOMETRY HOMEWORK HELP! PLS!!

Answers

Answer:

x = 37°

Step-by-step explanation:

Given the triangle with two given exterior angles, m ∠107° and m ∠110°:

We can use the exterior angle theorem where it states that the measure of each exterior angle of a triangle is equal to the sum of the measures of the opposite and remote interior angles.

Start by finding the supplement of m ∠110°, that will serve as the other remote interior angle.

The supplement of ∠110° is:

∠110° + y  = 180°

Where y = represents the other unknown interior angle.

Subtract ∠110° from both sides:

∠110° - ∠110°  + y  = 180° - ∠110°

y =  70°

Therefore, the other remote interior angle is y = 70°. Now, we can determine the value of x by establishing the following equation:

107° = x° + 70°

Subtract 70 from both sides:

107° - 70° = x° + 70°- 70°

x = 37°      

y>= -5x + 8 what is m?​

Answers

Answer:

The slope = -5

Step-by-step explanation:

y ≥ -5x + 8

Look at the problem as y = -5x + 8 and compare to the slope intercept form. The slope = -5

Translate 9 times the sum of n and 12 to symbols

Answers

(n+12) • 9

to simplify, use the distributive property

9 • 12 = 108
9 • n = 9n
9n • 108


Can someone please help me

Answers

Answer:

The linear ones

options 1 and 3

Step-by-step explanation:

4 and 5 are parabolic with maxima at y = -4 and minima at y = -3.25 respectively

2 is asymptotic to the negative x axis on the positive side

y - 2x=4
3x -5y =15 ddddddddddd

Answers

Answer:

Hope this is right and helps :)

Step-by-step explanation:

What is .7899 rounded 4 decimal places

Answers

.7899 rounded is .79. But in you want to convert/round it all the way it’s 1. But .79 makes more sense. Or .8. Which ever one works!!


Hope this helped. :)

Carrie loves carrots so much that she ate 30 of them for lunch. Her sister doesn’t like carrots as much and only ate 5 of them for lunch. The number of carrots Carrie ate is how many times greater than the number that her sister ate?

Answers

If carrie ate 30 and her sister at 5. To find how many times greater than the number her sister ate we just need to divide the two numbers. 30/5=6.

Which means she at 6 times the amount of carrots than her sister.

Describe in words a sequence of transformations that maps ABC to A' B' C
Write an ordered-pair rule for this sequence of transformations.

Answers

Answer:

A reflection over the y-axis followed by a translation 4 units down

Step-by-step explanation:

hope this helps!

Calculate the volume of the pyramid. Round your answer to the nearest hundredth 10in 7in

Answers

Answer:

Place the numbers in their places. b=base h=height.

Step-by-step explanation:

Factor this completely thank you

Answers

4(2x raise to power 2-4-7x)

Work out
47% of £900

Answers

Answer:

47 percent *900 =

(47:100)*900 =

(47*900):100 =

42300:100 = 423

Now we have: 47 percent of 900 = 423

Question: What is 47 percent of 900?

Percentage solution with steps:

Step 1: Our output value is 900.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$900=100\%$.

Step 4: Similarly, $x=47\%$.

Step 5: This results in a pair of simple equations:

$900=100\%(1)$.

$x=47\%(2)$.

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

$\frac{900}{x}=\frac{100\%}{47\%}$

Step 7: Again, the reciprocal of both sides gives

$\frac{x}{900}=\frac{47}{100}$

$\Rightarrow x=423$

Therefore, $47\%$ of $900$ is $423$

The list of ordered pairs below represents a function.
{(-12, –8), (-2,7), (0,4), (-4,3)}
Find the range of the function. Write your answer' as a comma separated list.

Answers

Answer:

{-8, 3, 4, 7}

Step-by-step explanation:

range is y values in the ordered pairs

{-8, 3, 4, 7}

Please Help! it's simple!

Answers

Answer:

28.27

circumference of finding a circle divided by two.

[tex](2\pi \:r {}^{2} ) \div 2[/tex]

(2×3.14×9)/2

56.55/2

28.27

help help help help!

Answers

Answer:

Is a give number 4 5 is a reflexive property

Can anyone answer this?

Answers

Answer:

  ∠AMB = 103°

Step-by-step explanation:

The sum of angles in ∆AMB is ...

  (∠A)/2 +(∠B)/2 + ∠AMB = 180°

  ∠AMB = 180° -(∠A +∠B)/2 = 180° -(58° +96°)/2

  ∠AMB = 103°

pls help the will mean the world

Answers

Answer:

A: the area of the walls that are being painted

C: the cost per gallon of different paints

F: the number of square feet that can be painted per gallon of paint

Step-by-step explanation:

Which is the quotient for 0.9 divide by 0.75

Answers

Answer:

1.2!

Step-by-step explanation:

The value of the numerical expression 0.90 ÷ 0.75 in the decimal form will be 1.20.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

0.90 and 0.75

Then the division between the numbers 0.90 and 0.75 will be given by putting a division sign between them. Then we have

⇒ 0.90 ÷ 0.75

⇒ 0.90 / 0.75

⇒ 1.20

The worth of the mathematical articulation 0.90 ÷ 0.75 in the decimal structure will be 1.20.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal places where appropriate).

4 sin(2θ) − 2 sin(θ) = 0

Answers

Answer:

θ = πk, 1.318+2πk, 4.965+2πk

Step-by-step explanation:

4sin(2θ) − 2sin(θ) = 0

8sin(θ)cos(θ) - 2sin(θ) = 0

2sin(θ)[4cos(θ)-1] = 0

2sin(θ) = 0

sin(θ) = 0

θ = πk

4cos(θ)-1 = 0

4cos(θ) = 1

cos(θ) = 1/4

θ ≈ 1.318+2πk, 4.965+2πk

Therefore, θ = πk, 1.318+2πk, 4.965+2πk

Solve for x in terms of y if 3x - 5 = y.

Answers

Answer:

5/3

Step-by-step explanation:

y= 3x - 5

Replace y with 0

0 = 3x -5

Rewrite the equation as

3x−5=0

Add 5 to both sides of the equation.

3x=5

Divide each term by 3 and simplify.

x = 5/3

Hope this helped :)

idrk uuhm ...........................................................

Answers

Answer:

huh

Step-by-step explanation:

Answer:  Im sorry what is the question?

Step-by-step explanation:

Find an equation for the perpendicular bisector of the line segment whose endpoints
are (2, -1) and (6, -9).

Answers

Answer:

x-2=y+1

Step-by-step explanation:

here is ur answer

hhhhhhhhhhhhhhhhhhhhhheeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeellllllllllllllllllllllllllllllllllllpppppppppppppppppppppppppppppppppppppppppppppppppppppppp

Answers

Answer:

E

Step-by-step explanation:

Like and give 5 star rating

Rewrite without parentheses and simplify.

(check my page and answer my other questions if u can please it would mean alot)

Answers

Answer:

  x² +14x +49

Step-by-step explanation:

Use the distributive property and collect terms.

  (x +7)² = (x +7)(x +7)

  = x(x +7) +7(x +7)

  = x² +7x +7x +49

  = x² +14x +49

Simplify 10^9 ÷ 10^7

Answers

Answer:

10^2

Step-by-step explanation:

10^9/10^7 is the same as 10^9*10^-7 if you multiply two same bases you can add there exponents. So, 9+(-7)=2. So, it’s 10^2

Answer:

100

Step-by-step explanation:

Hope it helps

PLS HELP NOW! WILL GIVE BRAINLIEST TO WHO EVER ANSWERS FIRST

Answers

Answer:

y = 1.6x −5

Step-by-step explanation:

We start with two points, let’s say (0,-5) and (4,1.4).

The equation is:

y=mx+b

m is the slope and b the y-intercept.

We can find the slope by:

[tex]\frac{y_2-y_1}{x_2-x_1} = \frac{-5-1.4}{0-4} = 1.6[/tex]

Then solve the equation for b:

y = 1.6x + b ->

−5 = 1.6(0) + b ->

b = -5.

So the final equation is:

y = 1.6x −5.

Hope that helps! :)

Help help help help

Answers

Answer:

a = (3,6)

b = (9,-3)

c = (-12,-6)

Step-by-step explanation:

Multiply the values of the cordinates by the 3.

(1.2)

3,3

a = (3,6)

(3,-1)

3,3

b = (9,-3)

(-4,-2)

3,3

c = (-12,-6)

Try that one C~-12,-6

You invest AED 5000 in a saving account that earns 4% interest each year. If you do not use the account for a year, how much money will you have in your account after a year?

Answers

9514 1404 393

Answer:

  AED 5200

Step-by-step explanation:

The interest in the first year will be ...

  I = Prt . . . . principal P invested at rate r for t years

  I = 5000×0.04×1 = 200

The account will have AED 5200 in it after a year.

please help me with this last question

Answers

Answer:

Step-by-step explanation:

3t² - t

3(4²) - 4

3(16) - 4

  48 - 4

  44

how would is solve this?
Find the area of the shaded region. Round your answer to the nearest hundredth.

Answers

it will be 36

Step-by-step explanation:

fgdsb b zgffhxgv

Other Questions
A coin is flipped 10 times. What is the probability of getting exactly 4 tails? Why are various creative works split up into different types under copyright law? the teacher ordered as me to open our my book. List 5 of Justinians accomplishments. What is the molecule that leaves the calvin cycle to be converted into glucose?. tell me what u think of this edit. be honesthttps://www.canva.com/design/DAEvhu4Z4k8/aBnd2_pTqvSH-NiEyhcVIQ/watch?utm_content=DAEvhu4Z4k8&utm_campaign=designshare&utm_medium=link&utm_source=publishsharelink Mrs.Peterson dropped a ball from the top of a tower. At the same time, her son, Drake, launches a rocket from a different level of the tower.The height of the tennis ball in feet after t seconds can be represented by the quadratic function: b(t)=-t^2-2t+26.The height of Drakes rocket after t seconds can be represented by the linear function: p(t)=-2t+10. What are the two solutions to this system? Show your work. Explain which solution is not reasonable in this situation. After how many seconds do the rocket and the ball reach the same height. which histogram helps best predict how much time until the next customer comes into the Clothes Shoppe. What is carbon dating? A charged capacitor is connected to an ideal inductor. At time t = 0, the charge on the capacitor is equal to 6. 00 c. At time t = 2. 00 ms the charge on the capacitor is zero for the first time. What is the amplitude of the current at that same instant?. How would 1.047 be written as a percentage form? Which statement about how mass media have changed over time is most accurate. The width of a rectangle measures (10p + 6) centimeters, and its lengthmeasures (2p 10) centimeters. Which expression represents theperimeter, in centimeters, of the rectangle?- In 2018, Joshua gave $12,300 worth of XYZ stock to his son. In 2019, the XYZ shares are worth $28,800. If Joshua had not given his son the stock in 2018 and held onto it instead, how much more would his estate have been worth than if he had made the gift The range of F(x) = logo x is the set of all real numbers.A. TrueO B. False Ben purchased lunch today at the school cafeteria for $2.75. Before today, Ben owed $9.15 on his lunch account. How much money is in his lunch account after today? 1.3.2 checkup - lessons learned 2. What is the slope of the line represented by the table of values below? How do you know? darlene has a rooftop carrier for her car. She puts 5 items in the carrierwith the following weights, in pounds: 10.4, 13, 8, 112, and 15.7.310A. Write and evaluate an expression to find the total weight of the5 items. What is the amount of discount?(100 pts) A 12.0 kg box resting on a horizontal, frictionless surface is attached to a 5.00 kg weight by a thin, light wire that passes over a frictionless pulley (Figure 1). The pulley has the shape of a uniform solid disk of mass 2.60 kg and diameter 0.500 m. A) After the system is released, find the tension in the horizontal segment of the wire. B) After the system is released, find the tension in the vertical segment of the wire. C) After the system is released, find the x-component of the acceleration of the box. D) After the system is released, find the x- and y-components of the force that the axle exerts on the pulley.