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 the 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.

Answers

Answer 1
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.
Answer 2

Answer:

on what

Step-by-step explanation:


Related Questions

4,024 ÷68 with remainder

Answers

59.17 this is with the remainder
the answer is 59 remainder is 12

Want 25 points and brainliest?Answer these 5 tough or easy math questions.Warning they're extremely annoying.

1.Solve: (h/4) + 9 = 6 h = _____

2.Solve: (m/-3) + -2 = 11 m = _____

3.Solve: (r/-5) - -6 = 10 r = _____

4.Solve: (z/-4) + -5 = -12 z = _____

5. Solve: (t/-8) - -4 = -6 t = _____

Answers

1. 36/23

2. 3/17

3. 10/17

4. 20/47

5. 32/47
1) h/4 + 9 = 6

You want to isolate h by itself, so subtract both sides by 9.

h/4 = -3

Then, get rid of the denominator, 4, by multiplying both sides by 4 (nit a fraction but as awhole number)

h = -12


2) Apply the same concept to this problem.

m/-3 + (-2) = 11

Distribute the sign over the parenthesis.

m/-3 - 2 = 11

Add 2 to both sides.

m/-3 = 13

To get rid of the denominator, multiply both sides by -3

m = -39


3) r/-5 - (-6) = 10

r/-5 + 6 = 10

r/-5 = 4

r = -20


4) z/-4 + (-5) = -12

z/-4 - 5 = -12

z/-4 = -7

z = 28


5) t/-8 - (-4) = -6

t/-8 + 4 = -6

t/-8 = -10

t = 80

Is that correct? Algebra 2

Answers

Yes I'm supposed to explain this on 20 chaaracters so hopefully this is enough

Evaluate the expression, using the given value of the variable. z ÷ 2 – 4z + 3(z – 3) when z = 8 A. –17 B. –13 C. –7 D. –1

Answers

I believe the answer is B.

The ratio of number of cars to the number of vans is 5:1. The ratio of number of vans to number of motorcycle in the same car park is 3:2 if there are 30 cars in the park how many motorcycle are there

Answers

30/5=6
6/2=3
There are 3 motorcycles

a group of hikers climbed from salt flats (elevation-55.03 ft) to talon bluff (elevation 620.75 ft). what is the difference between talon bluff and salt flats?

Answers

620.75-(-55.03)= 620.75+55.03 = A difference of 675.78ft

To calculate the elevation difference between Talon Bluff and Salt Flats, you subtract the elevation of Salt Flats from the elevation of Talon Bluff, resulting in a total ascent of 675.78 feet

The question asks about the elevation difference between two points, Salt Flats and Talon Bluff. To find the difference in elevation, you simply subtract the elevation of Salt Flats from the elevation of Talon Bluff. Therefore, the difference is

Elevation of Talon Bluff - Elevation of Salt Flats = 620.75 ft - (-55.03 ft) = 675.78 ft.

This means that the hikers ascended a total of 675.78 feet in elevation from the Salt Flats to Talon Bluff

A submarine is at 89 feet below the surface of the ocean. If it descends another 42 feet, what will be it’s position in relation to the surface?

Answers

add the 2 numbers:

89 + 42 = 131 feet below the surface,

 which can also be written as -131 feet

For the bake sal, Sandra baked 4 trays of cookies, with 12 cookies on each tray. Teo baked 6 pans of brownies and divided each pan into 8 piece. How many items will Sandra and Teo have for sale in total? Write a mathematical question (order of operations), hen solve your expression to find the answer.


Plz help, u will be awarded 20 points if u help.

Answers

( 4 x 12 )+( 6 x 8 )


total .      96
Final answer:

Sandra and Teo will have a total of 96 items for the bake sale. We find this by first multiplying the number of trays Sandra baked by the number of cookies per tray, then multiplying the number of Teo's brownie pans by the pieces per pan, and finally adding our two results together.

Explanation:

The subject of the question is Mathematics, specifically it is an arithmetic problem involving multiplication and addition. It is a middle school grade level question.

To solve it, we need to multiply the number of trays Sandra baked by the number of cookies on each tray. So, 4 (trays) * 12 (cookies) = 48 cookies.

Next, multiply the number of brownie pans Teo baked by the number of pieces each pan was divided into. That is, 6 (pans) * 8 (pieces) = 48 brownies.

Finally, to find the total number of items for the bake sale, we simply add our two results: 48 (cookies) + 48 (brownies) = 96 items.

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the sum of two numbers is 55 and the difference is 9. what are the numbers?

Answers

x + y= 55
x - y= 9
y = 23
x = 32

the numbers are 23 and 32
Difference is 9: x-y=9
From the second equation x=9+y (substitute that into the first equation to solve for y).
9+y+y=55


2y=46

y=23. (Substitute that back into the second equation to find x.)
x=9+y = 23+9 = 32.
23+32 = 55 (Check).

kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf. How fast is Kelly's knitting speed, in feet per hour?

Answers

9/8 per hour 
hope this helps if so please mark me brianliest

Answer:

[tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed

Step-by-step explanation:

Unit rate defined as the rates are expressed as a quantity 1 such as 4 meter per seconds or 4 miles per hour.

As per the statement:

Kelly is knitting a scarf for her brother. it took her 1/3 hour to knit 3/8 foot of the scarf.

She took /3 hour to knit 3/8 foot of the scarf.

Then by definition of unit rate we have;

[tex]\text{Unit rate per hour} = \frac{\frac{3}{8} }{\frac{1}{3} } =\frac{3}{8} \cdot 3 = \frac{9}{8}[/tex] feet

Therefore, [tex]\frac{9}{8}[/tex] feet per hour fast is Kelly's knitting speed.

a triangle with angles X(-6,1), Y(4,0), Z(1,3) is translated left 9 and up 12 . What are the new coordinates of the triangle

Answers

X= (-15,13) 
Y= (-5, 12)
Z= (-8, 15)

Due to fire laws, no more than 720 people may attend a performance at Metro Auditorium. The balcony holds 120 people. There are 32 rows on the ground floor, each with the same number of seats. Write an inequality to find the number of people that can sit in a ground floor row if the balcony is full. Identify what your variable represents.

Answers

120 + 32x < = 720....with x being the number of seats 
32x < = 720 - 120
32x < = 600
x < = 600 / 32
x < = 18.75

geometry homework please help

Answers

let's start with triangle UVT, in this triangle we have UV = VT, therefore, measure angle VUT is equal to measure angle VTU.
we also know that measure angle UVT = 20°
thus, angle VUT + angle VTU = 180-20=160°
since these two angles are equal, each of them will measure 160/2=80°

now, we have measure anglr RUT=90° and measure angle VUT=80°, therefore,
measure angle VUR = 90-80=10°

The right answer is A

Andrei has a glass tank. First, he wants to put in some marbles, each of which has a volume of 0.4 liters. Then, he wants to fill the tank with water until it's completely full. If he uses 50 marbles, he will have to add 33 liters of water.

What is the volume of the tank?
Andrei has exactly 20 liters of water. How many marbles does he need so the tank is full?

Answers

lol at first i thought the question was a joke but now that u edited i think i got it

35 litters because  
0.04*50 is 2
2+33 is 35
Final answer:

The volume of Andrei's tank is 53 liters. To fill the tank with 20 liters of water, Andrei needs 82 marbles, as marbles and water together must reach the tank's total volume.

Explanation:

To find the volume of the glass tank that Andrei has, we need to calculate the total volume of marbles and water that fills the tank. Since each marble has a volume of 0.4 liters and he uses 50 marbles, the total volume of the marbles is:

0.4 liters/marble × 50 marbles = 20 liters

With 33 liters of water needed to fill the tank after the marbles are added, the total volume of the tank is:

20 liters (marbles) + 33 liters (water) = 53 liters

To determine how many marbles Andrei can add if he has exactly 20 liters of water, we set up the equation with the unknown number of marbles (represented by 'x'):

0.4 liters/marble × x marbles + 20 liters (water) = 53 liters (total volume)

From the equation, we solve for x:

0.4x + 20 = 530.4x = 33x = 33 / 0.4x = 82.5 marbles

Since Andrei cannot use a fraction of a marble, he'll need to use 82 marbles to fill the tank with 20 liters of water.

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Joseph says that in the number 9,999,999,all the digits have the same value?Is Joseph correct? explain

Answers

no because the first nine means 9,000,000 (nine million)and the last nine means just 9 meaning the first"nine's" value is a lot greater

Joseph is not correct.

What is place value?

- Any number formed from some digits, each digit has a place value.

- For example : 1,234 this number formed from 4 digits

The place value of 4 is ones ⇒ 5

The place value of 3 is tens ⇒ 40

The place value of 2 is hundreds ⇒ 300

The place value of 1 is thousands ⇒ 2,000

1,234= 1,000 + 200 + 30 + 4

Now the given number is 9,999,999

Now the place value of each digit is given as,

∵ The number formed from 7 digits

- The place value of the leftmost digit is millions

- The place value of the digit before the million is hundred thousands

- The place value of the digit before the hundred thousands is

ten thousands

- The place value of the digit before the ten thousands is thousands

- The place value of the digit before thousands is hundreds

- The place value of the digit before hundreds is tens

- The place value of the digit before tens is ones

∴ 9,999,999 = 9,000,000 + 900,000 + 90,000 + 9,000 + 900

  + 90 + 9

Each digit from the leftmost digit is ten times the digit before it  

Hence, Joseph is not correct.

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Helppppppp me please if your good at math let me know willl be greatful

Answers

The system of equations is
y = 3x - 4
y =(2/3)x + 1

The solution satisfies 
3x - 4 = (2/3)x + 1

Answer:
From the graph, obtain
x lies between 2 and 3.
y lies between 2  and 3.


A Number sentence that shows two expressions with the same value is a?

Answers

The answer is: equation.

Remember expressions have no equal sign.
Equations have an equal sign, and it’s an expression on each side of the equal “=“ sign.

The term given to a number sentence with expresses the equality between two expressions is called an equation.

Word problems are usually solved Mathematically by converting problems in a given scenario into a number sentence.

When a number sentence is written such that the expression on the right and left hand side are seperated by an equality sign, then the expression is reffered to as an equation.

For instance ; 2a + 8 = 15 is an equation.

Therefore, two expressions seperated by an equality sign is called an equation.

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Rhosanda is downloading a file from the Internet. The size of the file is 7.45 MB. The file is downloading at the rate of 0.095 MB per second. How many seconds will it take to download the entire file? Round your answer to the nearest second.

Answers

7.45/0.095 = 78 seconds

Answer/Step-by-step explanation:

7.45/0.095 = 78 seconds

Basher collected 4 1/3 basket of peaches and Orchard if each basket holds 21
peaches how many peache did he collect in all

Answers

To do this you times 3 by 4 and add it on to the numerator of the fraction, to turn it into a top heavy fraction:
3*4 = 12
1+12/3 = 13/3

Then you multiply the numerator by 21 to work out what 21 times the fraction is:
13*21/3 = 273/3

Then you can divide 273 by 3 to get the final answer:
273/3 = 91

He will have 91 peaches overall.
Hope this helps! :)

The perimeter of a regular quadrilateral is 12 inches. What is its area?

plz help !!!

Answers

The area would be 9 because the perimeter of the regular quadrilateral would be 3 and if you multiply 3 by 3 you have 9.

The required area of the regular quadrilateral is 9 square inches.

Given that,
The perimeter of a regular quadrilateral is 12 inches. What is its area is to be determined.

What is quadrilateral?

A quadrilateral is a four-sided shape, regular or nonregular.
Examples:- square, rectangle parallelogram etc.

Here,
A regular quadrilateral is a square.
the perimeter of the rectangle = 4 × side
12 = 4 × side
side = 12 / 4
Side = 3 inch
Area of the square = side²
Area of the square = 3²
Area of the square = 9 square inches

Thus, the required area of the regular quadrilateral is 9 square inches.

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How can 36/6 be expressed as a decimal?

Answers

The answer is 6...
I guess if you wanted it to be a decimal you could do 6.0

Hope this helped!
No, it can't. Because, 36/6 = 6 
Since the numerator divided by the denominator is a whole number, it would not be expressed as a decimal. 

I hope this helps!

Help please

Match each point with one of the following fractions

3/4,1/4,7/16,5/8

A=5/8,B=1/4,C=3/4,D=7/16
A=1/4,B=5/8,C=7/16,D=3/4
A=3/4,B=1/4,C=5/8,D=7/16
A=1/4,B=7/16,C=5/8,D=3/4

Answers

A = 1/4   (0.25)
B = 7/16 (0.4375)
C = 5/8 (0.625)
D = 3/4 (.75)

the last option is your answer

A fraction is a way to describe a part of a whole. The correct option is D.

What is a Fraction?

A fraction is a way to describe a part of a whole. such as the fraction ¼ can be described as 0.25.

To arrange the given fraction simply the given fraction as shown below.

3/4 = 0.75

1/4 = 0.25

7/16 = 0.4375

5/8 = 0.625

Since it can be seen that the points are arranged on the number line, therefore, the first point will have the least value, while the last point will have the maximum value.

Therefore, each point can be written in the fraction form as,

A = 0.25 = 1/4

B = 0.4375 = 7/16

C = 0.625 = 5/8

D = 0.75 = 3/4

Hence, A=1/4,B=7/16,C=5/8,D=3/4.

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Will give brainliest for correct answer! easy algebra

Answers

11
That should be the answer

Landon and Keira are preparing refreshments for a party. To make fruit punch, they will mix 2 gallons of grape juice with 1 cup of lemonade and 6 ounces of pineapple juice. How many ounces of punch will they make?

Answers

You will end up with 270 ounces

270 fl oz is your answer

-4(3 - 2x) + 2x = 2x - 8

Please Help!

Answers

-12+8x+2x=2x-8
-12+10x=2x-8
-12+8x=-8
8x=4
x=.5
THE ANSWER IS .5

On a certain day 1 US dollar is equivalent in value to 90 Japanese yen. Lucy is going on a trip to Japan. She has $900 to spend. How many yen is this?

Answers

The equivalent amount of Japanese yen to 900 US dollars is 102180.15 yen. Meaning, Lucy has 102180.15 Japanese yen to spend. 

which algebraic expresion is a polynomial with a degree of 2

Answers

A polynomial with a degree of 2 can be:

x² + 1

y² + 2

etc..

hope this helps

Which expression shows the distance on the number line between −7 and 16?

a) |−16−(−7)|

b) |−7+16|

c) |7−16|

d) |−7−16|

Answers

Final answer:

The correct expression to find the distance on the number line between -7 and 16 is |16 - (-7)|, which equals 23 units. The distance is always a positive number.

Explanation:

The expression that shows the distance on the number line between −7 and 16 is |16 - (-7)|.

To find the distance between two points on a number line, subtract one point from another and take the absolute value of the result. This ensures the distance is positive, as distance cannot be negative. Hence, the correct expression is:

|16 - (-7)| = |16 + 7| = |23| = 23

So, the distance between the points is 23 units.

The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in which standard deviation? A. There is a probability that the outcome is within 3 standard deviations of the mean. B. Standard deviations are not reliable, so the probability cannot be determined. C. There is a probability that the outcome is within 2 standard deviations of the mean. D. There is a probability that the outcome is within 1 standard deviation of the mean.

Answers

Answer:

D. There is a probability that the outcome is within 1 standard deviation of the mean.

Step-by-step explanation:

The correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.

What is standard deviation?

"It is a measure of the amount of variation of a set of values from is mean."

What is mean?

"It is the average of all the set of values."

What is empirical rule?"It is a statistical rule which states that - For a normal distribution, the observed data will fall within three standard deviations of the mean.""This rule predicts that 68% of observations falls within the first standard deviation.""95% of observations falls  within the first two standard deviations.""99.7% of observations falls  within the first three standard deviations."

For given question,

According to empirical rule,

The probability of an outcome that lies within 68% of the mean is a good indicator that it lies in the first standard deviation.

Therefore, the correct answer is an option (D) There is a probability that the outcome is within 1 standard deviation of the mean.

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Is this situation possible? <WXY and <WXZ are supplementary, and <YXZ is a right angle. 

Answers

For a triangle, no this is not possible because 90 plus a number greater than 90 will always be greater than 180 making it impossible
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