Answer:
A. 4 inches
Step-by-step explanation:
Applying,
P = 2(L+W)............. Equation 1
Where P = Perimter of the rectangle, L = Length of the rectangle, W = width of the rectangle.
make W the subject of the equation
W = (P/2)-L............ Equation 2
From the question,
Given: P = 32 inches, L = 1 foot (Convert from Foot to inches), L = 12 inches
Substitute these values into equation 2
W = (32/2)-12
W = 16-12
W = 4 inches.
Hence the right option is A.
Answer:
Step-by-step explanation:
3 and 2/5
(aka A)
Answer:
k = 8
Step-by-step explanation:
7(k - 5) = 21
k - 5 = 3
k = 8
Hope this helps!
1. 8c^2-26c+15= (4c-3) (2c-5). Break the expression into groups: =(8c^2-6c)+(-20c+15). Factor out 8c^2-6c: 2c(4c-3). Factor out -5 from -20c+ 15: -5(4c-3). Lastly factor out common term (4c-3) and thats how you'll get your answer (4c-3) (2c-5).
2. common factors for 270 and 360 is 90.To find this write the factors of each and find the largest one.270: 1, 270, 2, 135, 3, 90, 5, 54, 6, 45, 9, 30, 10, 27, 15, 18360: 1, 360, 2, 180, 3, 120, 4, 90, 5, 72, 6, 60, 8, 45, 9, 40, 10, 36, 12, 30, 15, 24, 18, 20
3. The factors for 8 a3b2 and 12 ab4 is 4. because 8: 1, 2, 4, 812: 1, 2, 3, 4, 6, 12.
4. 81a^2+36a+4= (9a+2)^2. Break down the expression into groups: (81a^2+18a)+(18a+4). Factor out 9a from 81a^2 +18a: 9a(9a+2). Factor out 2 from 18a+4: 2(9a+2). so the groups you got are now 9a(9a+2)+2(9a+2). Lastley factor out common term (9a+2) to get (9a+2) (9a+2). Finally you get the answer (9a+2)^2.
5. mn-15+3m-5n= (n+3)(m-5). factor out m from nm+3m: m(n+3). Factor out -5 from -5n-15: -5(n+3). And thats how you get the number (n+3)(m-5)
Hope this helped :) Have a great day
