What is an equation for the translation of y = |x| down 8 units?

Answer:

[tex]\frac{1-\tan x }{1+\cot x}[/tex]

Step-by-step explanation:

Let [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex], we proceed to prove the given identity by trigonometric and algebraic means:

1) [tex]\frac{\sin 2x+\cos 2x-1}{\sin 2x+\cos 2x + 1}[/tex] Given

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

3) [tex]\frac{2\cdot \sin x \cdot \cos x -\sin^{2}x-(1-\cos^{2}x)}{2\cdot \sin x\cdot \cos x +\cos^{2}x+(1-\sin^{2}x)}[/tex] Commutative, associative and distributive properties/[tex]-a = (-1)\cdot a[/tex]

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

5) [tex]\frac{(2\cdot \sin x)\cdot (\cos x-\sin x)}{(2\cdot \cos x)\cdot (\sin x +\cos x)}[/tex] Distributive and associative properties.

6) [tex]\frac{\sin x\cdot (\cos x-\sin x)}{\cos x\cdot (\sin x +\cos x)}[/tex] Existence of multiplicative inverse/Commutative and modulative properties.

7) [tex]\frac{\frac{\cos x -\sin x}{\cos x} }{\frac{\sin x + \cos x}{\sin x} }[/tex] [tex]\frac{\frac{x}{y} }{\frac{w}{z} } = \frac{x\cdot z}{y\cdot w}[/tex]

8) [tex]\frac{\frac{\cos x}{\cos x}-\frac{\sin x}{\cos x} }{\frac{\sin x}{\sin x}+\frac{\cos x}{\sin x} }[/tex] [tex]\frac{x+y}{w} = \frac{x}{w} + \frac{y}{w}[/tex]

9) [tex]\frac{1-\tan x }{1+\cot x}[/tex] Existence of multiplicative inverse/[tex]\tan x = \frac{\sin x}{\cos x}[/tex]/[tex]\cot x = \frac{\cos x}{\sin x}[/tex]/Result

Answer:

5 and 8

Step-by-step explanation:

quadratic formula.

-(b)+sqrt(b)^2-4(a)(c)

^ans

divide the whole thing by 2(a).

If the formula isn't clear, search quadratic formula up.

Answer:

1.5 hours = 1 hour 30 mins

Step-by-step explanation:

3/4 = 0.75

0.75 x 2 = 1.5

Answer:

7

Step-by-step explanation:

hope it helps

Answer:

8y + 16

Step-by-step explanation:

Put the like variables together

Answer:

u < 35/8

Step-by-step explanation:

u < 35/8 (divide by 8)

Answer:

33.49

Step-by-step explanation:

just did that

Answer:

maths challenge>

Step-by-step explanation:

samee

Answer:

The numbers are  x= 9 and y =6

The product of two numbers

x y  = 9 × 6 = 54

Step-by-step explanation:

Step(i):-

Let x and y are two numbers

Given that the sum of two numbers

 x + y = 15 ..(i)

Given that the difference of two numbers

x - y = 3 ..(ii)

adding (i) and (ii) , we get

x + y + x -y = 15 +3

  2 x = 18

    x =9

Step(ii):-

Substitute x = 9 in equation (i) , we get

x + y = 15

9 + y = 15

     y = 15 - 9

    y = 6

Final answer:-

The numbers are  x= 9 and y =6

The product of two numbers

x y  = 9 × 6 = 54

Answer:

x=9/5

Step-by-step explanation:

x-2=-1/5

x=9/5

Answer:

Step-by-step explanation:

X=-6

Step-by-step explanation:

x= -6

......................

Answer:

If i'm doing this correctly it is 6?

Step-by-step explanation:

Answer:

x= -4

Step-by-step explanation:

8x - 5 = -37

   + 5     +5  add five to both sides of the equation so you can isolate the x

8x = -32

/8        /8 then divide 8 by both sides of the equation

x = -4

and then you get ur answer

Hope this helps :)

Answer: Lower-right corner  [tex]3^7 \times \frac{1}{3^4}[/tex]

Explanation:

We use the rule that

[tex]a^{-b} = \frac{1}{a^b}[/tex]

The negative exponent tells us to apply the reciprocal if we want the exponent to be positive.

In this case, a = 3 and b = 4

So,

[tex]a^{-b} = \frac{1}{a^b}\\\\3^{-4} = \frac{1}{3^4}[/tex]

which is why overall,

[tex]3^7\times 3^{-4} = 3^7 \times \frac{1}{3^4}[/tex]

Answer:

23

Step-by-step explanation:

because 10+13 well hope that helps

Answer:

Sarah: £15

Fiona: £15

David: £10

Step-by-step explanation:

3 + 3 + 2 = 8

40 ÷ 8 = 5

3 × 5 = 15

3 × 5 = 15

2 × 5 = 10

Answer: It's 18

Step-by-step explanation: i took it and got it right

Answer:

$3573. 64

Step-by-step explanation:

Convert 11.25% to the decimal fraction 0.1125.  Then subtract this result from 1.0000:  0.8875.

After 14 years, the formerly $19000 car will have the value

$19000(0.8875)^14 = $3573. 64

Answer:

I think that the first part would be -252, but I'm not sure about the second part

Step-by-step explanation:

Answer:

third one

Step-by-step explanation:

Answer: it would be the third option, (2/5)^4

Step-by-step explanation:

sure thing! so, when all of those fractions in parenthesis, it means they are all going to be multiplied. and, this gets easy! that third option means that all of them are getting multiplied 4 times, which is exactly what the original problem means. hope this helps!

Answer: Jireh flew his crop duster from the ground to an altitude of 3,500 feet.

Step-by-step explanation:

That is an example of an increasing interval.

Answer:

a

Step-by-step explanation:

Answer:

answer is c

Step-by-step explanation:

Answer:

3+3+3+3

Step-by-step explanation:

it's ans is 3+3+3

Answer:

I think the answer is D.

sorry if I'm wrong..

Answer:

n= -9, t= -9

Step-by-step explanation:

1) -1/3(n+15)=-2

-1/3×n+-1/3×15=-2

-1/3×n -5= -2

-1/3 n-5+5= -2+5

-1/3×n=3

3/-1×-1/3×n=3/-1×3

n= -9

2) 46 = -6t -8

−6t−8=46

−6t−8+8=46+8

−6t=54

Divide both sides by -6

t=-9

Answer:

Answer below

Step-by-step explanation:

I really hope it works

Answer:

4cups of chocolate chips

Hope I helped

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

2 cups times two recipes

2x2=4

Answer:  -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

==========================================================

Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

------------------------------------

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

Answer:Add x to both sides of the equation.y=3+2x

Step-by-step explanation:

could y be 9 im lost

Answer:

the answer is 0

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

-3x + 2y

-3(2) + 2(3) ## Substitution

-6 + 6 ## Distributive

0 ## Addition

Question:

Solve the equation 2x2−5x+3=0 by the method of completing square.

Answer:

We have,

2x2−5x+3=0

⇒x2−25x+23=0 (Dividing throughough by 2)

⇒x2−25x=−23 (Shifting the constant term on RHS)

⇒x2−2(45)x+(45)2=(45)2−23 (Adding (21Coeff.ofx)2 onboth sides)

⇒(x−45)2=1625−23⇒(x−45)2=16