The graph shown below expresses a radical function that can be written in the for f(x)=a(x+6)

Explanation:

On taking LHS

Cos[(3π/2)+θ]Cos(2π+θ)[Cot{(3π/2)-θ}+Cot(2π+θ)]

We know that

π = 180°

2π = 2×180° = 360°

3π/2 = (3×180°)/2 = 540°/2 = 270°

Now

LHS becomes

Cos(270°+θ)Cos(360°+θ)[Cot(270°-θ)+Cot(360°+θ)]

We know that

Cos (270°+θ) = Sin θ

Cos (360°+θ) = Cos θ

Cot (270°-θ) = Tan θ

Cot (360°+θ) = Cot θ

→ Sin θ Cos θ [Tan θ + Cot θ]

→ Sinθ Cosθ[(Sinθ/Cosθ)+(Cosθ/Sinθ)]

→ Sinθ Cosθ[(Sin²θ+Cos²θ)/(SinθCosθ)]

→ Sin θ Cos θ [1/(Sin θ Cos θ)]

Since Sin²θ+Cos²θ = 1

→ (Sin θ Cos θ)/(Sin θ Cos θ)

→ 1

→ RHS

→ LHS = RHS

Hence, Proved.

Here are the formulae that I have used:

→ π = 180°

→ Cos (270°+θ) = Sin θ

→ Cos (360°+θ) = Cos θ

→ Cot (270°-θ) = Tan θ

→ Cot (360°+θ) = Cot θ

Here are the Trigonometric Identities that I have used:

→ Sin²θ+Cos²θ = 1

Hope this helps!!

Answer:

i think it is same let me know

Answer:

1 x 106

Step-by-step explanation:

200,000,000 divided by 200 is equal to 1,000,000

What do you need help with?

Answer:

the student that is correct is Gene and the solution is x=10

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

We have,

From the model below,

The right-hand side:

This can be written as,

1 + 1 = 2 ______(1)

And,

The left-hand side:

This can be written as,

-x + 8 x (-1)

-x - 8

or

-8 - x ______(2)

Now,

From (1) and (2),

2 = -8 - x

Thus,

The equation that is correctly modelled is 2 = -8 - x.

GENE equation is correct.

Learn more about equations here:

https://brainly.com/question/17194269

#SPJ3

Answer:

B. 18/48 and 21/56

C. 20/28 and 15/18

Step-by-step explanation:

Simplifying 18/48 = 3/8

Simplifying 21/56 = 3/8

Simplifying 20/ 28= 5/7

Simplifying 15/18 = 5/7

Answer:

18/48 and 21/56

Step-by-step explanation:

plato

Answer:

A.) 7:1 (which is 5.25 : 0.75 simplified)

B.) 0.75 : 6

Step-by-step explanation:

Answer:

In two right-angled triangles,If the length of the hypotenuse and one side of one triangle, is equal to the length of the hypotenuse and corresponding side of the other triangle, then the two triangles are said to be congruent.

Step-by-step explanation:

Thank you!!!!

9514 1404 393

Explanation:

The RHS congruence theorem states that, if the hypotenuse and side of one right triangle are equal to the hypotenuse and the corresponding side of another right triangle, the two triangles are congruent.

This is also known as the HL (hypotenuse-leg) congruence theorem for right triangles.

__

The four theorems generally available for showing congruence of triangles are abbreviated ...

  SSS, ASA, SAS, AAS . . . . A=angle, S=side; order is important

These list the sides/angles that must be identified as corresponding congruent parts.

Notable for its absence from this list is an SSA theorem. The reason is that SSA congruence can only be shown under the specific circumstance that the angle is opposite the longest of the two sides. That can only be guaranteed if the angle is a right angle or obtuse angle.

If the triangle is a right triangle, and the hypotenuse (longest side) is one of the two corresponding sides involved in the congruence statement, then the conditions required for RHS, or SSA, or HL congruence are established.

_____

Additional comment

In general, a triangle can be "solved" (all sides and angles determined) if at least one side and any two of the remaining angles or sides are specified. That is, the triangle will be uniquely specified.

The exception is described above, where two sides and an angle are given, but the side opposite the angle is the shorter of the two. In that case, if the triangle is not a right triangle, there are always two possible solutions. This is why, in general, congruence cannot be shown between two triangles with the same SSA specification.

Answer:

The answer would be 8.

Step-by-step explanation:

Answer:

[tex]A=6x^{2} -13x-28[/tex]

Step-by-step explanation:

A=L(W)

A=2x-7(3x+4)

Use distributive property

[tex]A=6x^{2} +8x-21x-28[/tex]

Combine like terms

[tex]A=6x^{2} -13x-28[/tex]

Answer:

83

Step-by-step explanation:

Answer:

Step-by-step explanation:

-0.096 is -0.096 thousandths, or -96/1000

That can be reduced by removing 8:

-[(8)*(12)]/[(8)*(125)] = -12/135

-12/125 = -0.096

Answer:

98

Step-by-step explanation:

Answer:

i do not know what it all says

Step-by-step explanation:

Answer:

Expression for the number of tiles Bruce used: 5x+2

Expression for the number of tiles Felicia used: 5x+5

Step-by-step explanation:

First want you'll want to do is translate the question into something easily understood. So for Bruce, we know that he bought three boxes with the same number of tiles in each, so 3, then he had to buy three more, another 3, but didn't finish the last box only using two, 2. So, we know he completely used the first 3 he bought then 2 of the 3 more boxes he bought.

For boxes completely used we can show it like this: 3+2=5 or 5x to represent the not known number of tiles in each box. Now we have to include the last box he bought, but he only used two tiles out of the whole box so it wouldn't be added to the same number as the other five (so not 6x).

To represent those last two tiles we can simply add +2.

Now putting it all together we get 5x+2

5x is the number of boxes multiplied by unknown number of tiles. so 5x=tiles in 5 boxes. and the 2 is those two tiles that were taken out of the last box.

For Felicia we go through the same process. We know she bought five boxes with the same number of tiles that Bruce had, 5, then bought five more individual tiles (not in a box), 5.

Not too much to do, so we know she got 5 boxes, so now we add our variable to represent the tiles in the boxes. so that 5 becomes 5x. Now with like we did with the two tiles Bruce only used, we do not add the 5 additional tiles into that number (so not 10x).

Because those were individual tiles they are simply 5.

Putting the whole thing together we get 5x+5

hope it helps

Answer:

y=3x-4

Step-by-step explanation:

Step-by-step explanation:

the answer is B.

yes it is

Answer:

l×b×h-this is the order

10×8

=80 --area 1:maximum

10×6= 60--area2: minimum area

8×6=48--area3:middle area

if you follow the order

the answer is= 60ft

Answer:

Step-by-step explanation:

Is there a question to it?

Answer:

The simplest way I can describe dividing fractions is like multiplying fractions but upside down.

Example:

1/2 ÷ 1/3

To do this, the easiest way is to "flip" the second fraction.

It then becomes:

1/2 × 3/1

Then you just multiply across and you get a product of 3/2 or 1 1/2

Answer:

£150.96

Step-by-step explanation:

Multiply 6.29 by 8. This is how much she makes a day.

(£50.32)

Multiply £50.32 by 3 because she works for 3 days.

(£150.96)

Answer:

-1/6

Step-by-step explanation:

i took the quiz

Answer:

400

Step-by-step explanation:

Percentage decrease = 20% × 500

New value = 500 - Percentage decrease

500 - (20% × 500) =

500 - 20% × 500 =

(1 - 20%) × 500 =

(100% - 20%) × 500 =

80% × 500 =

80 ÷ 100 × 500 =

80 × 500 ÷ 100 =

40,000 ÷ 100 =

400

Answer:

0.77

Step-by-step explanation:

10/13 as a decimal is 0.769230

0.769230 to the nearest 100 is 0.77

Hope this helps :D

Answer:

Start at 4, up 2, right 1

Step-by-step explanation:

Using Y=mx+b

B: begin

M: movement

Start at 4, then move up 2 and right one (because 2 = [tex]\frac{2}{1}[/tex])

Hope this helps! :)

*You can also use Desmos*

Answer:

5 : 1 or 10 : 2

Step-by-step explanation: