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3 years ago

12

Something divided by something equals 132

1 answer:

natta225 [31]3 years ago

8 0

11 x 12 =132
i think this is the right answer

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Verify the identity (tan x + 1)^2 + (tan x-1)^2= 2 sec^2 x

Elina [12.6K]

$(\tan x+1)^2+(\tan x-1)^2=2\sec^2x\\\\\text{use}\ \tan x=\dfrac{\sin x}{\cos x}\\\\L_s=\left(\dfrac{\sin x}{\cos x}+\dfrac{\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x}{\cos x}-\dfrac{\cos x}{\cos x}\right)^2\\\\=\left(\dfrac{\sin x+\cos x}{\cos x}\right)^2+\left(\dfrac{\sin x-\cos x}{\cos x}\right)^2\\\\=\dfrac{(\sin x+\cos x)^2}{\cos^2x}+\dfrac{(\sin x-\cos x)^2}{\cos^2x}\\\\\text{use}\ (a\pm b)^2=a^2\pm2ab+b^2$

$=\dfrac{\sin^2x+2\sin x\cos x+\cos^2}{\cos^2x}+\dfrac{\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{\sin^2x+2\sin x\cos x+\cos^2+\sin^2x-2\sin x\cos x+\cos^2}{\cos^2x}\\\\=\dfrac{2\sin^2x+2\cos^2x}{\cos^2x}=\dfrac{2(\sin^2x+\cos^2x)}{\cos^2x}\\\\\text{use}\ \sin^2x+\cos^2x=1\\\\=\dfrac{2(1)}{\cos^2x}=2\cdot\dfrac{1}{\cos^2x}=2\left(\dfrac{1}{\cos x}\right)^2\\\\\text{use}\ \sec x=\dfrac{1}{\cos x}\\\\=2(\sec^2x)=2\sec^2x=R_s\\\\L_s=R_s\Rightarrow The\ identity$

4 0

3 years ago

olasank [31]

Answer

Find out the Area of a triangle .

To proof

Formula

Area of Triangle

$= \frac{1}{2}\times( {x_1(y_{2}-y_{3}) +x_{2}(y_{3} - y_{1})+x_{3}(y_{1}-y_{2})})$

Now vertices are D(3, 3) , E(3, −1) , and F(−2, −5) .

$= \frac{1}{2} (3\times(-1 +5) + 3\times(-5-3)-2\times(3+1))$

Solving the above

$= \frac{1}{2}(3\times4+3\times-8 -2\times4)$

$=\frac{1}{2} (12-24-8)\\ =\frac{1}{2} (-32+12)\\=\frac{1}{2} (-20)$

= -10 units²

(Neglected the negative sign as area cannot be negative.)

= 10 units ²

Area of a triangle is 10 units ²

Hence proved

6 0

3 years ago

Assume GDP is $19 billion. If consumer spending is $8 billion, financial investment is $2 billion, investment spending is $5 bil

Mila [183]

Answer W at -4 billion is the answer.

5 0

2 years ago

Read 2 more answers

In which direction does the right side of this graph point? F(x)= -x^4-x^3+4x-2

suter [353]

Answer: Down

Step-by-step explanation:

We know that the graph of y = x 4 has both arms pointing up.

Now, since the leading coefficient of f ( x ) is negative, both arms are pointing down. Thus the right side is pointing down.

4 0

2 years ago

Alligator 1 initial weight is 4 lbs. the rate of growth is 2 lbs. per month. Alligator 2 initial weight is 8 lbs. the rate of gr

LekaFEV [45]

Answer:

4 months

Step-by-step explanation:

Let the number of months be x

Alligator 1 weight = 4 + 2x

Alligator 2 weight = 8 + x

4 + 2x = 8 + x
2x - x = 8 - 4
x = 4

The answer is 4 months

7 0

2 years ago