Nicolas is setting up water stations for a 10-mile run. He already has the first one set up 8 miles from the starting line. He needs to set up two more that are 1.5 miles on either side of the first water station. Where will he put the two additional water stations?

A number line divided into increments of 1 and labeled 0 through 10. The number 8 is labeled with Nicolas.

The absolute value equation that models this situation is |x –
|=

.

The two additional water stations will be
and

miles from the starting line.

Answer:

No this is not linear

Step-by-step explanation:

B.) y-5 = 3(x-3) or y-14 = 3(x-6)

The equation of line in point slope form is (y - 5) = 3(x - 3) or (y - 14) = 3(x - 6) passing through ( 3 , 5) and (6,14).

" A line is defined as the collection of points in one dimensional plane which represents only one dimension length and can extends to infinity."

Formula used

Slope(m) = [tex]y_{2} - y_{1}[/tex]/[tex]x_{2} - x_{1}[/tex]

Equation of line : ([tex]y[/tex] - [tex]y_{1}[/tex]) = m([tex]x[/tex] - [tex]x_{1}[/tex])

According to the question

We have

([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)

([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)

Substitute the value in the formula  to get slope of line we get,

 m =  14 - 5/6 - 3

      = 9/3

      = 3

Substitute the value in the formula of equation of line we get,

For ([tex]x_{1}[/tex], [tex]y_{1}[/tex]) = (3 , 5)

(y - 5) = 3(x - 3)

or

For ([tex]x_{2}[/tex] , [tex]y_{2}[/tex]) = (6 , 14)

(y - 14) = 3(x - 6)

Hence, Option (B) is the correct answer.

Learn more about equation of line here

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Answer:

Step-by-step explanation:

16

Answer:

5 flights of stairs

Step-by-step explanation:

The car is 4 floors below ground so she walks 4 to get to ground level. Then she walks 3 more to get to where she is going.

4 + 3 = 7 total floors

2. False -3 is not in the range of the function because the absolute value bars limit the y value to 0 and above

3. True any function like this with the x value in absolute value bars will always be identical on the opposite side of the y-axis

this applies to anything like: y=|x|, y=2|x|, y=|2x+2| and y=|x|+2

Answer:

x = 20

Step-by-step explanation:

13+7=20

x = 20

Answer:

17/12

Step-by-step explanation:

find a common denominator for each number so 8/12 and 9/12

Given parameters:

Cost of cell phone plan per minute  = 0.02$/min

Amount in a month  = $20

Unknown:

Number of minutes allowed per month?

Solution:

 The number of minutes = [tex]\frac{amount per month}{rate per call}[/tex]

     Input the parameters and solve;

                                         = [tex]\frac{20}{0.02}[/tex]

                                         = 1000min

The number of minutes allowed per month is 1000min

Answer:

32850

Step-by-step explanation:

I hope this helps!

Answer:

um if this is a riddle then only 90 years old because that how many actual years you have lived but is this is like more of a math question then you would be 32850 years old because 365 x 90 = 32850

Step-by-step explanation:

Answer:

y-intercept = -8

Step-by-step explanation:

The y-intercept is where the line goes through the y axis. It is also the value when x = 0. From what the problem gives us, we know the y-intercept is -8 because the x value is 0

Answer: c

Step-by-step explanation:

Answer:

-38

Step-by-step explanation:

y=2

z=-17

yz-y^2

(2)(-17)-(2)^2

-34-4

-38

Answer:

-12+(-8)=-20

-20 is the answer

9514 1404 393

Answer:

  g - 4 = 9

Step-by-step explanation:

If the number is g, then four less than the number is g-4.

If that is 9, then you have the equation ...

  g - 4 = 9

_____

Additional comment

If you add 4 to both sides of the equation, you have its solution.

  g -4 +4 = 9 +4

  g = 13

So, 4 less than 13 is 9.

Answer:

Step-by-step explanation:

Water consumption rate is:

Answer:

64

Step-by-step explanation:

A=1/2bh

basic multiplication after that

Answer:

Multiply the height by the base to get the area. 8 x 6 = 48. The area of the first triangle is 48 square inches. 8 x 10 = 80. The area of the second triangle is 80 square inches.

Step-by-step explanation:

Answer:

(6,3)

Step-by-step explanation:

I'm going to start with the second one.

x - 2y = 0

   +2y  +2y

x = 0 + 2y   which is the same as (x = 2y)

Now plug that in for the x-value in the other equation.

4(2y) - 3y = 15

8y - 3y = 15

5y = 15

Divide both sides by 5

y = 3

Here is where you are going to plug it back into the first one we did.

x - 2(3) = 0

x - 6 = 0

  +6   +6

x = 6

So the answer is (6,3)

Hope that helps and have a great day!

Answer

-4    3

1      4

2      5

3      6

3       8

Step-by-step explanation:

hope this helps

Answer:

[tex] h = 4.8 \: inches.[/tex]

Step-by-step explanation:

[tex]A= \frac{1}{2} h(a+b) \\ h(a + b) = 2A \\ h = \frac{2A}{(a+b)} = \frac{2 \times24 }{4 + 6} \\ h = \frac{48}{10} \\ h = 4.8 \: inches.[/tex]

Answer:

h=4.8

Given:

area=24 , a=4 , b=6

To find:

height

Step-by-step explanation:

A = [tex]\frac{1}{2}[/tex] × h(a+b)

24 = [tex]\frac{1}{2}[/tex] × h(4+6)

24 × 2 = h(10)

48 = 10h

48/10 = h

h=24/5

h=4.8

therefore, height of the trapezium is 4.8

hope it helps you!

Answer:

D

Step-by-step explanation:

I think the answer is D because 5 and 4 equal 9, and equation D is 5+4+x=60. So, the correct equation is D. Hope it helps!

Answer:

9.

Step-by-step explanation:

Answer

9

Step-by-step explanation:

first simplify 9/3 to 3 and then go on from there

7-4+3*2

7-4=3

3*2=6

3+6=9

Answer:

Step-by-step explanation:

18 -> 1,2,3,6,9,18

12 -> 1,2,3,4,6,12

heighest common factor is 6.

It will be nice if you give me brainliest. Good luck!

Answer:

[tex]the \: equation \: of \: the \: statement \: is : \\ 5 {x}^{2} - 28x = 2500[/tex]

Answer:The distance between -2, and 8 is 10

The distance between 4 and 1 is 3

Step-by-step explanation:

Answer:

[tex]y=\frac{5}{3}x+8[/tex]

Step-by-step explanation:

Remember, slope intercept form is:

y = mx + b

where m is the slope and b is the y-intercept.

To get the given equation into slope-intercept form, we would have to first solve for y in terms of x.

10x - 6y = -48

Subtract 10x from both sides.

-6y = -48 - 10x

Multiply both sides by -1.

6y = 10x + 48

Divide both sides by 6.

[tex]y=\frac{5}{3}x+8[/tex]

And now, looking at the equation that we found and the equation for slope-intercept form, we can see that we have found the equation for 10x - 6y = -48 in slope-intercept form.

I hope you find my answer to be helpful. Happy studying.

Answer

a. No none are similar.

b. No.

c. Even if it were to be increased it still won’t be similar as what we would get would be 133 inches.

Step-by-step explanation:

LETTER = 8.5inches * 11 inches = 93.5inches.

LEGAL = 8.5inches * 14 inches = 119 inches

Junior legal: 5 inches * 8 inches = 40inches.

Tabloid: 11 inches * 17 inches = 187 inches

Government paper = 8inches * 10.5 inches = 84 inches.

Answer:

Step-by-step explanation:

The ans is 345/1000

Answer:  3.45x10⁻1

Step-by-step explanation: