whats the length and width of the figures?
Answer:
Step-by-step explanation:
The quadratic expression can be factored into two binomials if it has two real roots.
<u>Two real roots possible with non-negative discriminant:</u>
As D = b² - 4ac, we get the following inequality
- k² - 4(3)(-8) ≥ 0
- k² + 96 ≥ 0
- k² ≥ - 96
This is true for any value of k
Okay, we need two equations for this:
a will represent adults, and k, kids
a + k = 168
a = 168 - k
300a + 150k = 43200
Replace a:
300(168-k) + 150k = 43200
50400 - 300k + 150k = 43200
-150k = -7200
15k = 720
k = 48
168 - 48 = 120
46 children and 120 adults attended
Answer:
The equation of the line would be y = 8x + 26
Step-by-step explanation:
In order to find the equation, we first need to note that they will have the same slope due to the definition of parallel lines. Knowing that, we can use the slope and point to find the equation.
y - y1 = m(x - x1)
y - 8 = 8(x + 2)
y - 8 = 8x + 18
y = 8x + 26
