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
When considering sampling procedures, a _____ is a sample in which every element in the population has a known statistical likel
KiRa [710]

Answer:

probability sample

Step-by-step explanation:

7 0
2 years ago
75,910,000,000 in scientific notation
natulia [17]

Answer:

7.591 x 10^10

Step-by-step explanation:

You have to move the decimal point over until you have a number under 10 and also the number of times you had to move the decimal point at the end of the number over is your exponent for 10

4 0
2 years ago
What is 68 percent of 575?
Travka [436]

Answer:

391

Step-by-step explanation:

First you must make the fraction a decimal so you can use it in an equation.

To do so move the . over to the left twice.

.68

Now multiply 575 by .68

575 x .68=391

7 0
2 years ago
Read 2 more answers
The ratio of Dawn to Mandy's savings is 6 : 7. The ratio of Mandy to Belle's savings is 2 : 3. Find the ratio of Dawn to Belle's
Mila [183]

The savings are illustrations of ratio, and the ratio of Dawn to Belle's savings in the simplest ratio is 4 : 7

<h3>How to determine the ratio?</h3>

The given ratios are:

Dawn : Mandy = 6 : 7

Mandy : Belle = 2 : 3

Multiply the second ratio by 3.5.

So, we have:

Mandy : Belle = 2 * 3.5 : 3 * 3.5

Evaluate

Mandy : Belle = 7 : 10.5

So, we have:

Dawn : Mandy = 6 : 7

Mandy : Belle = 7 : 10.5

Mandy's ratios in both equation are the same.

So, we have:

Dawn : Mandy : Belle = 6 : 7 : 10.5

Remove Mandy's ratio

Dawn : Belle = 6 : 10.5

Simplify

Dawn : Belle = 4 : 7

Hence, the ratio of Dawn to Belle's savings is 4 : 7

Read more about ratios at:

brainly.com/question/2328454

#SPJ1

5 0
2 years ago
If the first term is 5 and the common difference is -3?
Doss [256]
-2 is the answer
----------------------------
You're Welcome.


6 0
3 years ago
Other questions:
  • Brad has a stack of 7 books on his desk. Each book is 1 and 7/8 inches thick.How tall is the stack?
    15·1 answer
  • Elaine needs to save a few more dollars each month. She takes a look at her budget and decides that spending less on groceries w
    6·2 answers
  • What do you call any number that is expressed as an integer or as a ratio between two integers when 0 does not serve as the deno
    15·1 answer
  • The sum of Pete's and Sam's ages is 30. Five years ago, Pete was 3 times as old as Sam. How old is Sam?
    14·2 answers
  • Store ABC began business 5 years ago. The graph below shows the store’s profit for those 5 years.
    5·1 answer
  • r cell phone company started a rewards club. For every three texts sent, you get 15 points. You need 1800 points for a prize. Ho
    10·1 answer
  • Need help ASAP giving 30 points
    5·1 answer
  • Marking brainliest
    12·1 answer
  • A letter is chosen from the word ROCK and a standard die is rolled. What is the probability that you will get a "vowel and then
    13·2 answers
  • Determine the product of (46.2 × 10^-1) ⋅ (5.7 × 10^–6). Write your answer in scientific notation.
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!