Answer:
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = 0<em> x² + 6 x + 20</em>
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the length of the rectangle = 2x +3
Given that the width of the rectangle = x +7
Perimeter of the rectangle = 2(length + width)
<u>Step(ii):-</u>
Perimeter of the rectangle = 2(length + width)
= 2(2 x +3 + x+7)
= 4x +6+2x+14
= 6 x +20
<u><em>Final answer:-</em></u>
Perimeter of the rectangle = 6 x +20
Perimeter of the rectangle = o x² + 6 x + 20
Answer:

Step-by-step explanation:
Let,
= y
sin(y) = 


---------(1)


cos(y) = 
= 
= 
Therefore, from equation (1),

Or ![\frac{d}{dx}[\text{sin}^{-1}(\frac{x}{6})]=\frac{1}{6\sqrt{1-\frac{x^2}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7Bx%7D%7B6%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7Bx%5E2%7D%7B36%7D%7D%7D)
At x = 4,
![\frac{d}{dx}[\text{sin}^{-1}(\frac{4}{6})]=\frac{1}{6\sqrt{1-\frac{4^2}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7B4%7D%7B6%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7B4%5E2%7D%7B36%7D%7D%7D)
![\frac{d}{dx}[\text{sin}^{-1}(\frac{2}{3})]=\frac{1}{6\sqrt{1-\frac{16}{36}}}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5B%5Ctext%7Bsin%7D%5E%7B-1%7D%28%5Cfrac%7B2%7D%7B3%7D%29%5D%3D%5Cfrac%7B1%7D%7B6%5Csqrt%7B1-%5Cfrac%7B16%7D%7B36%7D%7D%7D)




Hey there!
The answer to your question is 
Given:

First, we distribute the negative sign to both terms (
) This would make the
negative and the
positive, so we have:

Add them together and we get:

Have a nice day!
Answer:
1.25
Step-by-step explanation:
Answer:
D. (x, y) →
Step-by-step explanation:
A dilation is a transformation which reproduces an image of the same shape as the original, but might be of a different size.
When the dilation produces a smaller image is called a reduction.
Mathematically, a reduction occurs whenever the scale factor is between 0 and 1.
Out of the options, the only one that has a scale factor less than one is:
(x, y) →
Since the scale factor is 1/2 which is less than 1.
All other options are not reductions.