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
A definition of Associative property for addition and multiplication
Lemur [1.5K]

Answer: Associative property explains that addition and multiplication of numbers are possible regardless of how they are grouped. By grouping we mean the numbers which are given inside the parenthesis (). By grouping we mean the numbers which are given inside the parenthesis ().

Step-by-step explanation:

4 0
3 years ago
Which equation shows the quadratic formula used correctly to solve 5x2 + 3x – 4 = 0 for x?
vovikov84 [41]

Answer:

x=\frac{-3\pm\sqrt{(3)^2-4(5)(-4)}}{2(5)}

Therefore, Option 1 is correct.

Step-by-step explanation:

We have been given the quadratic equation:

5x^2+3x-4=0

If we compare it will general quadratic equation which is: ax^2+bx+c=0

Here, a=5,b=3 and c= -4.

Now, we will use the formula:

And then x=\frac{-b\pm\sqrt{D}}{2a}

Where,D=b^2-4ac

x=\frac{-3\pm\sqrt{(3)^2-4(5)(-4)}}{2(5)}

Therefore, Option 1 is correct.

6 0
3 years ago
Read 2 more answers
Forty percent of the dogs in the image have been adopted. How many of the dogs have been adopted? (There are five dogs in this p
Jlenok [28]

Answer:

<em>B) </em><em>2 dogs.</em>


<h2><em>40% of 5 = 2</em></h2>
5 0
3 years ago
Read 2 more answers
Find the simplified quotient. <br><br> y^2+y/y^2-2y/y^2-4y+4
BabaBlast [244]

Answer: y2-1/y-4y+4

if this helped please mark brainliest

7 0
3 years ago
3. Six less than twice a number is 17. Which equation could be used to determine the
Usimov [2.4K]

Answer & Step-by-step explanation:

n represents our number. So, twice a number would be 2n because twice means multiply by two.

When the problem says 6 less, then it means 6 less than 2n. So, it would look like 2n-6.

FInally, the problem says that all of this equals 17 so 17 would be the result.

So, you answer is 2n-6 = 17. This is answer choice B.

6 0
3 years ago
Other questions:
  • Use the vertical angles theorem to name a pair of congruent angles
    13·1 answer
  • If ​$450 is invested for one year at 12.1​%simple​ interest, how much interest is​ earned?
    13·1 answer
  • Split 90 into two parts so tha one part is 4 times the other part
    6·1 answer
  • Given g (x) = 20x - 189 what is g (1/2) <br><br>please help me quick!​
    13·1 answer
  • What is the answer to <br> -5+4=-17
    15·2 answers
  • If 6000 x 100000 = 600000000 then what is the product times 100000000
    9·2 answers
  • Select the quadrant or axis where each ordered pair is located on a coordinate plane.
    8·1 answer
  • Can u solve these for me please? Pythagorean theorem
    9·1 answer
  • 10^7 is how many times as large as 3.10^3
    15·2 answers
  • Please help me <br> Will give you brainly
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!