Z is the midpoint of XY<br> XY = 27

How do u factor out the coefficient of the variable??? -6z + 12 equals what

Bezzdna [24]

-6z+ 12
= -6(z -2) (distributive property)

The final answer is -6(z -2)~

7 0

2 years ago

2) The distance between Janet's home and her office is represented on the map with a scale factor of 1 inch = 5.6 miles. If the

SpyIntel [72]

Hey there! I"m happy to help!

We see that 1 inch is equal to 5.6 miles for this scale factor. If we have three inches, we simply multiply 5.6 by 3 to figure out how many miles this is!

5.6(3)=16.8

Therefore, Janet's home is 16.8 miles from her office.

Have a wonderful day! :D

5 0

2 years ago

How to find the derivative of cos^2x? i seem to be confused.

slamgirl [31]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2927231

————————

You can actually use either the product rule or the chain rule for this one. Observe:

• Method I:

y = cos² x

y = cos x · cos x

Differentiate it by applying the product rule:

$\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x\cdot cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{dx}(cos\,x)\cdot cos\,x+cos\,x\cdot \dfrac{d}{dx}(cos\,x)}$

The derivative of cos x is – sin x. So you have

$\mathsf{\dfrac{dy}{dx}=(-sin\,x)\cdot cos\,x+cos\,x\cdot (-sin\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=-sin\,x\cdot cos\,x-cos\,x\cdot sin\,x}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

—————

• Method II:

You can also treat y as a composite function:

$\left\{\!
\begin{array}{l}
\mathsf{y=u^2}\\\\
\mathsf{u=cos\,x}
\end{array}
\right.$

and then, differentiate y by applying the chain rule:

$\mathsf{\dfrac{dy}{dx}=\dfrac{dy}{du}\cdot \dfrac{du}{dx}}\\\\\\
\mathsf{\dfrac{dy}{dx}=\dfrac{d}{du}(u^2)\cdot \dfrac{d}{dx}(cos\,x)}$

For that first derivative with respect to u, just use the power rule, then you have

$\mathsf{\dfrac{dy}{dx}=2u^{2-1}\cdot \dfrac{d}{dx}(cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2u\cdot (-sin\,x)\qquad\quad (but~~u=cos\,x)}\\\\\\
\mathsf{\dfrac{dy}{dx}=2\,cos\,x\cdot (-sin\,x)}$

and then you get the same answer:

$\therefore~~\boxed{\begin{array}{c}\mathsf{\dfrac{dy}{dx}=-2\,sin\,x\cdot cos\,x}\end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>derivative chain rule product rule composite function trigonometric trig squared cosine cos differential integral calculus</em>

3 0

2 years ago

29 les the product of 3 and x

yanalaym [24]

Answer:

9

Step-by-step explanation:

3 0

2 years ago

A triangle has sides with lengths of 18 centimeters, 68 centimeters and 74 centimeters. Is it a right triangle?

Hoochie [10]

18^2 + 68^2 =

= 324 + 4,624

= 4,948

74^2 = 5,476

4,848 is not equal to 5,476.

Since the sum of the squares of the lengths of the two shorter sides is not equal to the square of the length of the longest side, the triangle is not a right triangle.

5 0

2 years ago

Z is the midpoint of XY XY = 27