Answer:

Step-by-step explanation:
Given
See attachment for soccer field
Required
The possible dimension of the field
From the attachment, we have:



So, we have:

This gives:

Express 36 as 6^2

Express as difference of two squares

Hence, the dimension is: 
Answer:
BD = 12.1 (nearest tenth)
Step-by-step explanation:
∆ABC is an isosceles triangle, since it has two equal sides, AB and BC. Also, this means that <BAD and <BCD = 60° each.
BD divides ∆ABC into two equal parts.
Apply trigonometric ratio to find BD.
Reference angle = <BAD = 60°
Adjacent = AD = 7
Opposite = BD
Thus, we would have:
tan 60 = opp/adj
Tan 60 = BD/7
7*Tan 60 = BD
12.1 = BD
BD = 12.1 (nearest tenth)
Answer:
B
Step-by-step explanation:
This quadratic factors.
x^2 - 15x + 56
= (x - 7)(x - 8)
x - 7 = 0
x = 7
=====
x - 8 = 0
x = 8
====
{7,8}
The product of two perpendicular slopes is always -1
Step-by-step explanation:
the picture includes the answer and work
I plugged in 2 for x
the equations that got the same answer, I put together