Answer:
Length: 21 cm and Width: 6cm
Step-by-step explanation:
Let
be the width and
length of the rectangle. We know:
-------- eq. 1
(Perimeter of the rectangle) ------- eq. 2
Substitute equation 1 in equation 2:
![54 = 2(4y-3) + 2y\\54 = 8y - 6 + 2y\\54 + 6 = 8y + 2y\\60 = 10 y\\\\\frac{60}{10}= y\\y = 6](https://tex.z-dn.net/?f=54%20%3D%202%284y-3%29%20%2B%202y%5C%5C54%20%3D%208y%20-%206%20%2B%202y%5C%5C54%20%2B%206%20%3D%208y%20%2B%202y%5C%5C60%20%3D%2010%20y%5C%5C%5C%5C%5Cfrac%7B60%7D%7B10%7D%3D%20y%5C%5Cy%20%3D%206)
Using the value of y, we find x.
![x = 4y - 3\\x = 4(6) -3\\x= 24 - 3\\x = 21](https://tex.z-dn.net/?f=x%20%3D%204y%20-%203%5C%5Cx%20%3D%204%286%29%20-3%5C%5Cx%3D%2024%20-%203%5C%5Cx%20%3D%2021)
Answer:
12 devided by 25 then multiply by 100
48%
Answer:
![x = 30.5](https://tex.z-dn.net/?f=%20x%20%3D%2030.5%20)
Step-by-step explanation:
Two angles are supplementary when they add up to 180°.
So we know that:
![C + D = 180](https://tex.z-dn.net/?f=%20C%20%2B%20D%20%3D%20180)
Supplanting we get:
![(3x-44) + (5x-20) = 180](https://tex.z-dn.net/?f=%20%283x-44%29%20%2B%20%285x-20%29%20%3D%20180%20)
We add up the X's.
![8x-44-20 = 180](https://tex.z-dn.net/?f=%208x-44-20%20%3D%20180%20)
![8x-64 = 180](https://tex.z-dn.net/?f=%208x-64%20%3D%20180%20)
Then we send 64 to the other side adding:
![8x = 180+64](https://tex.z-dn.net/?f=%208x%20%3D%20180%2B64%20)
![8x = 180+64](https://tex.z-dn.net/?f=%208x%20%3D%20180%2B64%20)
![8x = 244](https://tex.z-dn.net/?f=%208x%20%3D%20244%20)
And then the 8 goes dividing:
![x = 244 : 8](https://tex.z-dn.net/?f=%20x%20%3D%20244%20%3A%208)
![x = 30.5](https://tex.z-dn.net/?f=%20x%20%3D%2030.5%20)
Answer:
13
Step-by-step explanation:
f(-3)=2(-3)-5(-3)+4. = -6+15+4= 13. f(a)=13