1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arisa [49]
3 years ago
6

You are setting up a zip line in your yard. You map out your yard in a coordinate plane. An equation of the line representing th

e zip line is y=2x+4y=2x+4. There is a tree in your yard at the point (−4, 11)(−4, 11). Each unit in the coordinate plane represents 1 foot. Approximately how far away is the tree from the zip line? Round your answer to the nearest tenth.
Mathematics
1 answer:
Pachacha [2.7K]3 years ago
4 0
Solving this problem needs the distance formula of point to a line.

The formula is:

distance = | a x + b y + c | / √  (a^2 + b^2)

 
So we are given the equation: y = 2 x + 4

Rewriting this would be: y – 2 x – 4 = 0 ->  a = -2, b = 1, c = -4

 We are also given the points:

(-4, 11) = (x, y)

 Plugging it in the distance formula at points (x, y):

distance = | -2 * -4 + 1 * 11 + -4 | / √ [(- 2)^2 + (1)^2]

= 15 / √ (5)

= 6.7

 So the tree is approximately 6.7 feet away from the zip line.
You might be interested in
How is taking away sandbags different from adding
elena-s [515]
Your limting the amount of sandbags you have if you take away and when your adding your adding more sandbags.
8 0
3 years ago
Identify the coefficients and constants in the expression. 2x – y + 5x
garri49 [273]
I believe the answer is 7x-y
7 0
2 years ago
Gills dealership had v vehicles on his lot. He had sold 9% of the vehicles on his lot by the end of last month. Which expression
Contact [7]

Answer:

V-9%= Vehicles Left  V- 0.09= Vehicles Left

Step-by-step explanation:

3 0
3 years ago
Which graph represents y as a function of x?
Lubov Fominskaja [6]

Answer:

A

Step-by-step explanation:

By vertical line test, if you draw any vertical line, except for A, all graph meet at more than two points. So, graph A represents y as a function of x.

5 0
3 years ago
3/7=8/x solve the proportion
Anna35 [415]
X=3/56 Hope My Answer Helps You (:
5 0
3 years ago
Read 2 more answers
Other questions:
  • Of the 32 students in a class, 18 play the violin, 16 play the piano, and 7 play neither.
    12·1 answer
  • Shannon test drives a car in Germany and drives 95 kilometers per hour. What is her speed in miles per hour?
    8·2 answers
  • What conclusions can be made about the series ∞ 2 cos(πn) n n = 1 and the integral test?
    5·1 answer
  • Write the base number for each expression: Please I need with steps
    10·1 answer
  • Find the coordinates of the point whose ordinate is -7 and lies on y axis​
    9·1 answer
  • The radius of a sphere is multiplied by 1/7 . What effect does this have on the volume of the sphere?
    15·2 answers
  • -2 (3x - 5) = - 6x + b
    15·2 answers
  • Solve for x. You must write you answer in fully simplified form. -11 = -8x
    10·2 answers
  • Help its my birthday and i dont know the answer :(
    15·1 answer
  • What would be the future value of 19,378 invested now if the money remains deposited for eight years and the interest rate is 18
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!