what are the x and y intercepts of the equation 2x-y=4

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]

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

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

Step-by-step explanation:

Please refer to the attachment

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:

15%

Step-by-step explanation: maybe

Answer:

pretty sure its c if not than d

Step-by-step explanation:

Answer:

LCM = 75

GCF = 25

Step-by-step explanation:

25 = 5 x 5

75 = 3 x 5 x 5

LCM = 3 x 5 x 5 = 75

GCF = 5 x 5 = 25

Hope that helps!

Answer: The LCM of 25 & 75 is 75, and the GCF of them is 25

Step-by-step explanation: hope it helps :)

100+2y = 180

2y=180-100

2y=80

y=40

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:

yes that is correct can you put me brainliest please?

Step-by-step explanation:

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:

(ii) (iii)

Step-by-step explanation:

Answer:

B I'm pretty sure.

Step-by-step explanation:

Answer:

    dont click that link report it

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Answer:

i think it is 4.5

i hope it helps

Answer:

4.5

Hope I helped

Answer:

560

Step-by-step explanation:

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: 2 hours=6 degrees C

              5 hours=-31 degrees C

               Half an hour=9.5 degrees C

I hope this helps. Sorry if I made a mistake. Good luck!

Step-by-step explanation:

9 x 2 hours = 18 C        14-8= 6 degrees C

9 x 5 hours = 45 C       14-45= -31 degrees C

9 x 0.5 = 4.5 C              14-4.5= 9.5 degrees C

The answer has to be 30.

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

Answer:

Yes

Step-by-step explanation:

5,0 is a solution to the graphed inequality as it lies on the edge of the shaded area. Because the line is solid rather than dotted/dashed this means that all answers on the line will be included in the solutions. This is a graph for an inequality with one of these symbols ≤ ≥.

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:

the value of x equals to 20 thats is solution okay