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Posted on Jan 02, 2017

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that sounds like a problem about "slopes" so I am looking at using the derivative, which is basically the slope of the graph.

- the equation of line PQ can be simplified to y(x) = -2kx + k -8

- derivative relative to X (k is a constant) gives you -2k

- derivative of y(x) = 4x + 7 relative to x gives you 4

if the lines are parallel then the slopes are equal:

-2k=4 gives you k = -2 => your function becomes y = 4x - 8

if the lines are perpendicular the two slopes multiplied together give you -1:

-2k * 4 = -1 gives you k=1/8 => function becomes y = -1/4x - 7/8 or in other words y = -(2x+7)/8

I have made graphic representation and it looks to be correct.

I hope it makes sense.

- the equation of line PQ can be simplified to y(x) = -2kx + k -8

- derivative relative to X (k is a constant) gives you -2k

- derivative of y(x) = 4x + 7 relative to x gives you 4

if the lines are parallel then the slopes are equal:

-2k=4 gives you k = -2 => your function becomes y = 4x - 8

if the lines are perpendicular the two slopes multiplied together give you -1:

-2k * 4 = -1 gives you k=1/8 => function becomes y = -1/4x - 7/8 or in other words y = -(2x+7)/8

I have made graphic representation and it looks to be correct.

I hope it makes sense.

Apr 12, 2017 | Homework

I think you are missing some information in the question. Please provide the complete question.

Apr 12, 2017 | Homework

slope or m = (y2 -y1)/(x2-x1)

always start with the same point.

m = (1 - (-5))/(-2-5)

m = (1 + 5)/(-7)

m = 6/-7

m = -6/7

The y-intercept is the b in the equation y=mx+b.

We can use either point to calculate b. Let's use (-2,1). So every time we see x, we put in -2, and every time we see y, we put in 1.

y = -6/7x + b

1 = -6/7 (-2) + b

1 = 12/7 + b

1 = 1 5/7 + b

-5/7 = b

So, y = -6/7x - 5/7

To check, we substitute in the other point and see if the left side is equal to the right side.

LS RS

-5 -6/7(5) - 5/7

-5 -30/7 - 5/7

-5 -35/7

-5 -5

LS = RS

QED

Good luck,

Paul

always start with the same point.

m = (1 - (-5))/(-2-5)

m = (1 + 5)/(-7)

m = 6/-7

m = -6/7

The y-intercept is the b in the equation y=mx+b.

We can use either point to calculate b. Let's use (-2,1). So every time we see x, we put in -2, and every time we see y, we put in 1.

y = -6/7x + b

1 = -6/7 (-2) + b

1 = 12/7 + b

1 = 1 5/7 + b

-5/7 = b

So, y = -6/7x - 5/7

To check, we substitute in the other point and see if the left side is equal to the right side.

LS RS

-5 -6/7(5) - 5/7

-5 -30/7 - 5/7

-5 -35/7

-5 -5

LS = RS

QED

Good luck,

Paul

Mar 23, 2017 | Homework

f(x) + g(x) would just be the two functions added together.

f(x) + g(x) = 7x 2?4x+8 + (?6+4x?7x 2)

Sorry, I don't understand your initial functions.

Good luck.

Paul

f(x) + g(x) = 7x 2?4x+8 + (?6+4x?7x 2)

Sorry, I don't understand your initial functions.

Good luck.

Paul

Feb 07, 2017 | Homework

That depends on what you want it rounded to,

To the nearest thousand: 2000

To the nearest hundred: 1900

To the nearest ten: 1930

To the nearest thousand: 2000

To the nearest hundred: 1900

To the nearest ten: 1930

Feb 01, 2017 | Homework

to calculate your grade base on total points you have to know:

290 points represent the 100% so the question is how many percent is 232.17points.

x = (232.17x100) /290

x= 80%

and 80% is B-

290 points represent the 100% so the question is how many percent is 232.17points.

x = (232.17x100) /290

x= 80%

and 80% is B-

Jan 04, 2017 | Homework

It should be 1:4. Reasons

A quarter equals to 25 pennies and a 100 pennies are equal to 1 dollar. So having these sorted out means 1:4

A quarter equals to 25 pennies and a 100 pennies are equal to 1 dollar. So having these sorted out means 1:4

Jan 04, 2017 | Homework

Let's rewrite as

7(3x+5) = 8x -1(1-4x)

Let's distribute

21x + 35 = 8x -1 + 4x

collect like terms

21x + 35 = 12x -1

Put all the x's on one side by subtracting 12x from both sides

21x -12x + 35 = 12x -1 -12x

simplify

9x + 35 = -1

get all the constants on the right side

9x + 35 - 35 = -1 - 35

9x = -36

divide both sides by 9 to get x by itself

9x /9 = -36/9

x = -4

check in original equation

7(3(-4)+5) = 8(-4) -(1-4(-4))

7(-12+5) = -32 - (1+16)

7 (-7) = -32 - (17)

-49 = -32-17

-49 = -49

7(3x+5) = 8x -1(1-4x)

Let's distribute

21x + 35 = 8x -1 + 4x

collect like terms

21x + 35 = 12x -1

Put all the x's on one side by subtracting 12x from both sides

21x -12x + 35 = 12x -1 -12x

simplify

9x + 35 = -1

get all the constants on the right side

9x + 35 - 35 = -1 - 35

9x = -36

divide both sides by 9 to get x by itself

9x /9 = -36/9

x = -4

check in original equation

7(3(-4)+5) = 8(-4) -(1-4(-4))

7(-12+5) = -32 - (1+16)

7 (-7) = -32 - (17)

-49 = -32-17

-49 = -49

Jan 04, 2017 | Homework

Both the Arctic (North Pole) and the Antarctic (South Pole) are cold because they don't get any direct sunlight. The Sun is always low on the horizon, even in the middle of summer. In winter, the Sun is so far below the horizon that it doesn't come up at all for months at a time.

Jan 04, 2017 | Homework

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