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Step-by-step explanation:

[tex]\sin^{4}x \: - \cos^{4} x = (\sin^{2}x)^{2} - (\cos^{2}x)^{2} [/tex]

[tex] = (\sin^{2}x)^{2} - (1 - \sin^{2}x)^{2} [/tex]

[tex] = \sin^{4}x - (1 - 2\sin^{2}x + \sin^{4}x)[/tex]

[tex] = 2\sin^{2}x - 1[/tex]

[tex] = - \cos2x[/tex]

Note: I used the identity

[tex] { \sin }^{2} x = \frac{1}{2} (1 - \cos \: 2x)[/tex]

for the last step.

PS. I love proving trigonometric identities!

Answer:

Answer is D

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

The sum of the angles of a triangle is ALWAYS 180 degrees.

Answer:

1 mile in 15 minutes

Step-by-step explanation:

Simply divide 120  by 8

120/8=15

Answer:

0.1 , 0.2 , 0.05

Step-by-step explanation:

*each column adds to 1*

20 x 1/2 = 10

1/2 x 20 x 0.1 = 1

top left box = 0.1

; 5 x 2 x 0.1 = 1

1/2 x 10 = 5

; 0.2 x 1/2 x 10 = 1

bottom middle box = 0.2

; 5 x 1 x 0.2 = 1

; 2 x 10 x 0.05 = 1

middle right box  = 0.05

; 20 x 1 x 0.05

Answer:

12240

85680

685440

Step-by-step explanation:

We know that the sequence is growing rapidly

To see how rapidly divide the second term by the first term

102/34 =3

Check the third term divided by the second term

408/102 =4

Check the fourth term divided by the third term

2040/408=5

To get the second term, multiply by 3,  to get the third term multiply by 4

to get the fourth term multiply by 5

to get the nth term multiply by (n+1)

The 5th term would be multiplied by 6

2040 *6 =12240

The 6th term by 7

12240*7=85680

The 7th term by 8

85680*8=685440

Answer:

9 litres of tomato concentrate

Answer:

V = 40 km/h

Step-by-step explanation:

Total distance = 120 km

Constant speed of train = V km/h

⇒ [tex]Time \: taken \: by \: train = \frac{Distance}{Speed} = \frac{120}{V} \: hr[/tex]

Its given that if speed is reduced by 10 km/h , the time taken by train increases by 1 hour. BUT THE DISTANCE REMAINS SAME. So,

[tex]Speed \times Time = Distance[/tex]

[tex]=> (V - 10)(\frac{120}{V} + 1) = 120[/tex]

[tex]=> 120 + V - \frac{1200}{V} - 10 = 120[/tex]

[tex]=> V - \frac{1200}{V} - 10 = 0[/tex]

[tex]=> \frac{V^2 - 1200 - 10V}{V} = 0[/tex]

[tex]=> V^2 - 10V - 1200 = 0[/tex]

Factorise the quadratic equation.

[tex]=> V^2 - 40V + 30V - 1200[/tex]

[tex]=> V(V - 40) + 30(V - 40)[/tex]

[tex]=> (V - 40)(V + 30)[/tex]

[tex]=> V = 40 \: (or) \: -30[/tex]

Speed can't be negative. So , V = 40 km/h

Answer:

Step-by-step explanation:

[tex]2 < -\frac{x}{3}[/tex]

To "undo" the division, multiply both sides of the inequality by 3.

[tex]6<-x[/tex]

To find  x, multiply both sides by -1, remembering that when you multiply (or divide) an inequality by a negative number, you have to switch the direction of the inequality sign (to avoid not telling the truth!!!).

[tex]-6>x[/tex]

Finally, it's a good idea to write the solution so the subject of the math sentence is x, not -6.

[tex]x<-6[/tex]

This isn't some kind of magic.  If -6 is bigger than  x,  then x  is smaller than -6.

Answer:

20

Step-by-step explanation:

AP EX Confirmed

Answer:

18/4

Step-by-step explanation:

If y varies directly as x then the equation is y = kx

If y =3 when x = 12 then the equation is 3 = 12k => k = 3/12=> k = 1/4

The value of y when x = 18 is,

y = k *&x

  = (1/4) * 18

  = 18/4

then the equation is y = 18/4

Step-by-step explanation:

i have solved the question

Answer:

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer;

(x-7)^2 + (y+3)^2 = 49

Step-by-step explanation:

The general equation for a circle is given by

(x-h)^2 + (y-k)^2 = r^2

where ( h,k) is the center and r is the radius

(x-7)^2 + (y- -3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 7^2

(x-7)^2 + (y+3)^2 = 49

Answer:

9

Step-by-step explanation:

5÷100=x

x=20

100-20=80

80= the total cost of the 4 pairs of mittens

Answer:

Step-by-step explanation:

The 2 lines are y=2x+12 (slope of 2 y-intercept at 12) and y=26 (line at y=26).

intersection= (7,26)

Answer:

Given, Distributive property, Subtraction Property, Division Property, Prove

Step-by-step explanation:

This is what I think the answer is. So if the answer is wrong than I don't know

Answer:

b=70 degree (by vertically opposite angle)

and c can be calculated as

b+c=180°

c=180°-b

c= 180°-70°

c= 110°

hence b=70° and c=110°

Answer:

Step-by-step explanation:

This is a right triangle, and side c, our unknown, is the hypotenuse, the longest side in a right triangle. Using Pythagorean's Theorem, we have

[tex]17^2+19^2=c^2[/tex] which simplifies to

[tex]289+361=c^2[/tex] and

[tex]650=c^2[/tex] and

c = 25.5"

Answer:

120 broAB ayi dónde es 120 desde A asta B

Answer:

$21.60

Step-by-step explanation:

Answer:

Answer is $ 21. 60

Step-by-step explanation:

$22 or 21.60 in decimal form

Step-by-step explanation: $6.00 - 10% is 5.4

5.4 + 5.4 +5.4+5.4 is 21.60

you can also round this off and get the answer as $ 22 .

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

312 inches

Step-by-step explanation:

Surface Area = 2×(8×12 + 8×3 + 12×3) = 312 inches

Answer:

312

Step-by-step explanation:

(12x3)x2=72

(12x8)x2=192

(8x3)x2=48

72+192+48=312

Answer:

22.8

Step-by-step explanation:

(18²+14²)½

= 22.8

Answer:

Your answer will be the 1st, 3rd and 4th/[tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex]

Step-by-step explanation:

No explanation since I've had this in the past, but I am 100% sure that it is A, C, and D. Therefore, your answer will be [tex]8(x-3), 9(x-3)-(x-3), and (5+3)x-24[/tex].