Answer:
Length is 14 in
Width is 8 in
Step-by-step explanation:
<u>Given:</u>
- Length = l
- Width = w
- Perimeter = P = 44 in
<h3>Solution</h3>
<u>Equations as per given:</u>
- l - w = 6
- P= 2(l+w) = 44 ⇒ l +w = 22
<u>Adding up the two equations:</u>
- l - w + l +w = 6 + 22
- 2l = 28
- l = 28/2
- l = 14 in
<u>Then finding the value of w:</u>
- w = l -6
- w = 14 - 6
- w = 8 in
<u>Answer:</u> The length of the rectangle is 14 inches and width is 8 inches
Answer:
A: 1/3
Step-by-step explanation:
please mark this answer as brainlest
The
![\dfrac{\mathrm dy}{\mathrm dx}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D)
row is filled by just plugging in the corresponding values of
![x](https://tex.z-dn.net/?f=x)
and
![y](https://tex.z-dn.net/?f=y)
into the ODE.
For example, when
![x=-1](https://tex.z-dn.net/?f=x%3D-1)
and
![y=1](https://tex.z-dn.net/?f=y%3D1)
, you have
![\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{xy}3\implies\dfrac{\mathrm dy}{\mathrm dx}\bigg|_{x=-1,y=1}=\dfrac{(-1)(1)}3=-\dfrac13](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%3D%5Cdfrac%7Bxy%7D3%5Cimplies%5Cdfrac%7B%5Cmathrm%20dy%7D%7B%5Cmathrm%20dx%7D%5Cbigg%7C_%7Bx%3D-1%2Cy%3D1%7D%3D%5Cdfrac%7B%28-1%29%281%29%7D3%3D-%5Cdfrac13)
and so on.
Answer:
30
Step-by-step explanation:
Midpoint = (
)
Substitute the numbers:
![\frac{2+(-2)}{2} ,\frac{-3+5}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B2%2B%28-2%29%7D%7B2%7D%20%20%2C%5Cfrac%7B-3%2B5%7D%7B2%7D)
Calculate:
![\frac{0}{2} ,\frac{2}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B0%7D%7B2%7D%20%2C%5Cfrac%7B2%7D%7B2%7D)
∴ The midpoint of the line segment is ( 0, 1 ).