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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.
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~PLEASE HELP!~
Gwar [14]
I'm not sure, but what I got was -8.5, since it is only stating that it is -17 and 5, and you need to figure out Point B, when it is between A and 0. So, you don't pay attention to 1-5. You only want -17 through 0. -17 divided by two would be -8.5
5 0
3 years ago
Tolong bantu jawab please, makasih sebelumnya!
sweet [91]

Answer:

2x² - 3x - 2

Explain:

Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.

2x² + x - 4x - 2

Collect like terms.

2x² + (x - 4x) - 2

Simplify.

2x² - 3x - 2

6 0
3 years ago
The smith family walked 2/3 of a mile in 2/7 of an hour? What is their unit rate in miles per hour? Explain how this is determin
frez [133]

Answer: 2\dfrac13\text{ miles per hour}

Step-by-step explanation:

Given: Distance traveled by Smith = \dfrac23 mile.

Time taken = \dfrac27  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

=\dfrac23\div\dfrac27

\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}

Unit rate  = 2\dfrac13\text{ miles per hour}

6 0
3 years ago
Geraldo has 3 fewer marbles than Yan. Together, they have 21 marbles. Which equation
EleoNora [17]

Answer:

geraldo has 9 marbles and yan has 12

Step-by-step explanation:

x + (x-3) = 21

x + x - 3 = 21

2 x - 3 = 21

Explanation:

In this problem, let us first analyze the situation. It says here that Geraldo and Yan both had marbles of their own. The problem states that together, they have a total of 21 marbles. However, we know here from the problem that they have different number of marbles each. Geraldo seems to have lesser number of marbles than Yan. Yan have three marbles more than Geraldo.

We can write the equation starting from assigning the unknown.

We'll use x.

x is the number of marbles that Yan have.

if x is Yan's, then, we can say that x-3 is Geraldo's.

Put them together into the equation.

Yan's plus Geraldo's is equal to 21.

Substitute using the represented unknowns.

x + (x-3) = 21.

In solving, we can also rule out that:

x + x - 3 = 21

2 x - 3 = 21

2 x = 21 + 3

2 x = 24

x = 12

x - 3 = 9

Yan has 12 marbles

and Geraldo has 9 marbles.

3 0
3 years ago
Which of the following is an example of the associative property?
Mariulka [41]
Hey there!

Let's look at this one answer at a time. 

2(5 - 3) = 10 - 6 would classify as the distributive property because 2 times 5 is 10 and 2 times negative 3 equals negative 6. 

-7 + (19 + 5) = (-7 + 19) + 5 would classify as an example of the associative property of equality because both sides of the equation simplify to equal the same number, 17.

11 + (6 + 8) = 11 + (28 + 6) is not a property of equality because it simplifies out to be 25 = 45 which is not true. 25 can never be equal to 45. It's no solution.

1/3 * 3 = 1 would be a great example of the inverse property of multiplication because one third is the reciprocal of three. In other words the equation could look like this:  1/3 * 3/1 = 3/3 = 1

Hope that helps! Thanks for using Brainly!
7 0
3 years ago
Read 2 more answers
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