Answer:
(x-5) (x+4)
Step-by-step explanation:
x^2 -x -20
What two terms multiply to -20 and add to -1
-5*4 = -20
-5+4 = -1
(x-5) (x+4)
4x-3y=17......(1)
5x+4y=60......(2)
Multiply equation (1) by 4 and equation (2) by 3:-
16x - 12y = 68
15x + 12y = 180
Adding these 2 equations:_
31x = 248
x = 248/31 = 8
Now substitute x = 8 in equation (1):-
4(8) - 3y = 17
32-3y = 17
-3y = -15
y = -15/-3 = 5
So solution is x=8,y=5
Tan(a/2) = sin a / (1 + cos a)
tan(45/2) = sin(45) / (1 + cos(45)) = (1/√2) / (1 + 1/√2) = (1/√2) / (√2 + 1)/√2 = 1/(√2 + 1) = (√2 - 1)
Answer:
The length of each side of the 9 in
Step-by-step explanation:
The volume of the gift box is 972 in. The height of the gift box is 12 inches
and the area of the base is 81 in².
We want to determine the length of each side of the square base if the base shape is a square.
Recall that, the area of a square is
![{l}^{2}](https://tex.z-dn.net/?f=%20%7Bl%7D%5E%7B2%7D%20)
It was given that, the area of this base is 81 in²
![{l}^{2} = 81](https://tex.z-dn.net/?f=%20%7Bl%7D%5E%7B2%7D%20%20%3D%2081)
Take positive square root:
![l = \sqrt{81} = 9in](https://tex.z-dn.net/?f=l%20%3D%20%20%5Csqrt%7B81%7D%20%20%3D%209in)
1/5
Step-by-step explanation:
(2,6) = 4/20 = 1/5
answer is 1/5