Answer:
(A) -8
Step-by-step explanation:
∆=b^2 -4ac= (-4)^2-4(2)(3)= -8
Since discriminant<0, then the equation has no roots.
L = 3 + 2w
Find the width
Area = 54
l × w = 54
(3 + 2w) × w = 54
3w + 2w^2 = 54
2w^2 + 3w - 54 = 0
(2w - 9)(w + 6) = 0
w = 9/2 or w = -6 (width shouldn't be negative)
w = 9/2
w = 4.5 m
Find the length
l = 3 + 2w
l = 3 + 2(4.5)
l = 3 + 9
l = 12 m
The width is 4.5 m, the length is 12 m
Answer:
![[11.5-(2.5*3)]^2=16](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2%3D16)
Step-by-step explanation:
We want to evaluate ![[11.5-(2.5*3)]^2](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2)
Let us evaluate within the parenthesis first:
![[11.5-(2.5*3)]^2=[11.5-(7.5)]^2](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2%3D%5B11.5-%287.5%29%5D%5E2)
![\implies [11.5-(2.5*3)]^2=[11.5-7.5]^2](https://tex.z-dn.net/?f=%5Cimplies%20%5B11.5-%282.5%2A3%29%5D%5E2%3D%5B11.5-7.5%5D%5E2)
We again subtract within the bracket to obtain:
![[11.5-(2.5*3)]^2=[4]^2](https://tex.z-dn.net/?f=%5B11.5-%282.5%2A3%29%5D%5E2%3D%5B4%5D%5E2)
This finally gives us:
Answer:
3:4
Step-by-step explanation:
8/6=4/3
12/9=4/3
16/12=4/3
Answer:
Adjacent angles
Step-by-step explanation:
They share a common vertex and side, fulfilling the criteria that makes them adjacent angles.
Sorry, needed to make up characters lol.
