During which time interval is the squirrel traveling at the fastest speed?

find the equation of the line that is parallel to the line Y equals 3X -6 and passes through the points (1 -8). Write the equa

AlladinOne [14]

<h3>hello!</h3>

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Parallel lines have the same slope.

So if the given line has a slope of 3, then the line parallel to it has the same slope (3)

Now, let's write the equation of the line in Point-Slope Form.

Remember, point-slope form looks like so:-

$\bigstar{\underline{\boxed{\pmb{y-y1=m(x-x1)}}}$

Where

y₁ is the y-coordinate of the point that the line passes through

m is the slope

x₁ is the x-coordinate of the point that the line passes through

In this case,

y₁ is equal to -8

m is equal to 3

x₁ is equal to 1

Plug in the values:

$\longrightarrow\sf{y-(-8)=3(x-1)}$

Simplify:

$\longrightarrow\sf{y+8=3(x-1)}$

and we're done!

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Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I will comment and/or edit my answer :)

4 0

3 years ago

Anyone willing to answer this question?

erastovalidia [21]

9514 1404 393

Answer:

D. Eric is correct; slopes are opposite reciprocals

Step-by-step explanation:

If they were to actually graph the lines, they could see immediately that the lines are perpendicular. Perpendicular lines have opposite reciprocal slopes.

__

Solving the first equation for y gives ...

2x +3y = 12

3y = -2x +12

y = -2/3x +4

The slope of -2/3 for this first line is the opposite reciprocal of the slope 3/2 that the second line has.

Eric is correct; slopes are opposite reciprocals (choice D)

7 0

3 years ago

In an inverse variation, y = 3 when x = 8. Write an inverse variation equation that shows

Klio2033 [76]

Answer:

y = 24/x

Step-by-step explanation:

<u>An inverse variation equation is:</u>

y = k/x

<u>We have y = 3 when x = 8, find the coefficient k:</u>

3 = k/8
k = 3*8
k = 24

<u>The equation is:</u>

y = 24/x

7 0

3 years ago

4. Here are the equations that define three functions.

luda_lava [24]

The functions f(x), g(x) and h(x) are all linear functions

The function value that is largest is h(-100)
The function value that is largest is h(-100)
The function value that is largest is f(1/100)

<h3>How to determine the function with the largest values</h3>

The functions are given as:

$f(x) = 4x - 5$

$g(x) = 4(x - 5)$

$h(x) = x/4 -5$

At x = 100, we have:

$f(100) = 4 * 100 - 5 = 395$

$g(100) = 4 * (100 - 5) = 380$

$h(100) = 100/4 - 5 = 20$

Hence, the function value that is largest is f(100)

At x = -100, we have:

$f(-100) = -4 * 100 - 5 = -405$

$g(-100) = 4 * (-100 - 5) = -420$

$h(-100) = -100/4 - 5 = -30$

Hence, the function value that is largest is h(-100)

At x = 1/100, we have:

$f(1/100) = 4/100 - 5 = -4.96$

$g(1/100) = 4 * (1/100 - 5) = -19.96$

$h(1/100) = (1/100)/4 - 5 = -4.9975$

Hence, the function value that is largest is f(1/100)

Read more about linear functions at:

brainly.com/question/15602982

5 0

2 years ago

Please help me! <3.

Taya2010 [7]

10.
12*3^2+36 needs to be 540
12*9+36
9+36=45
12*45=540 so
12(3^2+36)

11.
32/2^3-4 needs to be 8
32/(2^3-4)

12.
2.3^2+9*4/2 needs to be 28.58
5.29+9*4/2
(5.29+9)*4/2=28.58
(2.3^2+9)*4/2

Hope this helps :)

6 0

3 years ago