Find the slope of the line. Explain how you found your answer.

Answer:

B I'm pretty sure.

Step-by-step explanation:

Answer:

I would say this is true

Step-by-step explanation:

The explicit formula is

An= A1 + (n-1)d

So it works out the same way even if the placing is switched

Answer:

so,

the room (2×3) × (3×3) feet, or 6x9 feet.

6x9= 54square feet

54 x 1.75= $94.50

Answer:

560

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

(ii) (iii)

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Answer: 20

Step-by-step explanation:

Answer:

1) [tex]sin \left(\dfrac{- \pi}{12} \right) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]

2) [tex]tan\left(\dfrac{ \pi}{12} \right) = 2 - \sqrt{3}[/tex]

3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = 2 + \sqrt{3}[/tex]

Step-by-step explanation:

1) [tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ})[/tex]

sin(-15°)  = sin(30° + (- 45°)) = sin(30°)cos(-45°) + cos(30°)sin(-45°)

sin(30°)cos(-45°) + cos(30°)sin(-45°) = 1/2 × (√2)/2 + (√3)/2 × (-√2)/2

1/2 × √2/2 + √3/2 × -√2/2 = (√2)/4 - (√6)/4 = ((√2) - (√6))/4

sin(-15°)  = ((√2) - (√6))/4

[tex]sin \left(\dfrac{- \pi}{12} \right) = sin(-15^{\circ}) = \dfrac{(\sqrt{2} - \sqrt{6} }{4}[/tex]

2) [tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ})[/tex]

tan(15°)  = tan(45° + (-30°)) = (tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°))

(tan(-30°) + tan(45°))/(1 - tan(-30°)×tan(45°)) = ((-1/√3) + 1)/(1 - (-1/√3))

((-1/√3) + 1)/(1 - (-1/√3)) = (3 - √3)/(3 + √3) = (3 - √3)·(3 -√3)/((3 - √3)·(3 + √3))

(3 - √3)·(3 -√3/((3 - √3)·(3 + √3)) = (9 - 6·√3 + 3)/(9 - 3) = (12 - 6·√3)/6

(2 - √3)

[tex]tan\left(\dfrac{ \pi}{12} \right) = tan(15^{\circ}) = 2 - \sqrt{3}[/tex]

3) [tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ})[/tex]

tan(75°)  = tan(30° + 45°) = (tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°))

(tan(30°) + tan(45°))/(1 - tan(30°)×tan(45°)) = ((1/√3) + 1)/(1 - 1/√3)

((1/√3) + 1)/(1 - 1/√3) = (3 + √3)/(3 - √3) = (3 + √3)·(3 +√3/((3 - √3)·(3 + √3))

(3 + √3)·(3 +√3/((3 - √3)·(3 + √3)) = (9 + 6·√3 + 3)/(9 - 3) = (12 + 6·√3)/6

(12 + 6·√3)/6 = 2 + √3

[tex]tan\left(\dfrac{ 5\cdot \pi}{12} \right) = tan(75^{\circ}) = 2 + \sqrt{3}[/tex]

Step-by-step explanation:

Please refer to the attachment

It's A. B doesn't really make sense ("derivative of the differential equation" is somewhat nonsensical, "derivative of an equation" is not meaningful).

More to the point: Slope fields are used to visualize solutions to differential equations of the form

y' = f(x, y)

You take some point (x, y) and evaluate y' at the point. This gives the slope of the line tangent to the particular solution to the DE that passes through the point (x, y ).

Sample several points and evaluate y' at those points and you get several different slopes.

Simple example:

y' = x ² - y ² = (x + y ) (x - y )

Let's take the points (1, 1), (-1, 0), and (2, -2), at which we get slopes

y' = f (1, 1) = 0

y' = f (-1, 0) = 1

y' = f (2, -2) = 0

From here, you can get particular solutions that pass through a certain point by interpolating the slopes of the tangents to the solution. I've attached a slope field for the example here at the points listed above. (In the order red, green, black). Each light gray arrow in the background shows the slope of the tangent line.

If you're still unsure how the slope field is generated, I suggest looking up videos on the subject. The process is a bit difficult to describe without a dynamic visual aid.

Answer: im in 100% sure but i think its yes

Step-by-step explanation:

Answer:

No

Step-by-step explanation:

I used photomath

Answer:

.15

Step-by-step explanation:

Probability of Rain = x

Probabiliy of No Rain = y

Y=1-X

Y=1-0.85

Y=.15

Answer:

y = x - 2

Step-by-step explanation:

Find the slope using rise over run

(y2 - y1) / (x2 - x1)

Plug in the points:

(y2 - y1) / (x2 - x1)

(-5 - 4) / (-3 - 6)

-9 / -9

= 1

Using y = mx + b, plug in the slope and a point to solve for b:

y = mx + b

4 = 1(6) + b

4 = 6 + b

-2 = b

Plug in the slope and b to y = mx + b

y = 1x - 2

y = x - 2

So, the equation of the line is y = x - 2

Answer:

hmm tratar 93.75

Step-by-step explanation:

cuanto es el 25 por ciento de descuento sobre 375? Asi, 25% de descuento en un item con un precio de estante de 375 es igual a $93.75.

espero que esto ayude

Answer:

the value of x equals to 20 thats is solution okay

The answer has to be 30.

Correct me if I am incorrect but I would believe I am correct. Have a good one!

Step-by-step explanation:

Mary's age = x

Billi's age = x+6

So, Mary age + Billi age = x + (x + 6)

Sum of their ages = 2x + 6

So, 2x + 6= 48

2x = 48 - 6

2x = 42

x = 42/2

Mary age = x = 21

And Billi age = x +6= 21 + 6 = 27

So Mary = 21

And Billi = 27

Lets check!

21 + 27 = 48

So therefore their ages add up to 48

So the answer is correct!

100+2y = 180

2y=180-100

2y=80

y=40

Answer:

grufhvdyfvgysgddgfvsygujsbchusb

Step-by-step explanation:

Answer:

15%

Step-by-step explanation: maybe

Answer:

line b and c are perpendicular because the product of their slope is -1

Step-by-step explanation:

For two lines to be parallel they must have the same slope

For two line to be perpendicular, the product of their slope must be -1

Line a: 2x-7y=14      

Rewrite in the form y = mx+c

-7y = -2x + 14

y = -2/-7 x + 14/-2

y = 2/7x  - 7

The slope of line a is 2/7

Line b: y=7/2x-8

This is already in standard format

mx = 7/2 x

m = 7/2

The slope of line b is 7/2

Line c: 2x+7y=21

Rewrite in standard form

7y = -2x + 21

y = -2/7 x + 21/7

y = -2/7 x + 3

The slope of line c is -2/7

Take the product of line b and c

mb * mc  = 7/2 * -2/7

mb * mc = -1

Hence line b and c are perpendicular because the product of their slope is -1

Step-by-step explanation:

The Rule: If you are multiplying by a value less than one, your product will decrease. If you are multiplying by 1, the product will be equal and if you are multiplying by a value greater than 1, the product will increase.

Answer:

-1/2

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

the blue parabola shows (1/4x)^2, the red shoes x^2, you can see the horizontal stretch, hope this helps :)

Answer:

2.[tex]-2m^4-6m^2+4m+9[/tex]

3.[tex]-2m^4-6m^2-4m+9[/tex]

Step-by-step explanation:

In general we can write a polynomial in standard form as

[tex]ax^n+bx^n^-^1+cx^n^-^2+...+px+q[/tex]

Given [tex]4m-2m^4-6m^2-4m+9[/tex]

Combine the like terms: 4m and -4m

4m-4m=0

We have 4m-4m=0

So, write the remaining terms

[tex]-2m^4-6m^2+9+0[/tex]

= [tex]-2m^4-6m^2+9[/tex]

This is in decreasing order of powers.

Hence the answer is the standard form is

[tex]-2m^3-6m^2+9[/tex]

But in the given options, you can choose option 2 and option 3 are in standard form.

Because they are in decreasing order of powers.

In other two options, the constants term is first and the highest power term is at the last. So, they are not in standard form.

-2m^4-6m^2+4m+9

-2m^4-6m^2-4m+9

I hope this helps you.

And please comment if I need to do corrections.

Please let me know if you have any questions.

Answer:

pretty sure its c if not than d

Step-by-step explanation: