Let's try to simplify x^2 + 16. It's a sum of two squares:
x^2 + 16 = 0
x^2 = -16
The problem is, we can't take a square root of a negative. This is where imaginary numbers come in.
Remember that square roots have a plus or minus symbol outside:
±√-16 = ±4i
Our two roots are 4i and -4i. Therefore, the trinomial simplifies to:
(x + 4i)(x - 4i)
If we attempt to divide x + 4 by these two binomials, we will find that 4 and 4i are not like terms. Therefore, we can't simplify this expression.
The answer is 15
From the graph:
Car A traveled 60 miles in one hour
Car B traveled 75 miles in one hour.
Car B travels 15 more miles per hour
The missing coordinate r is 11.
Solution:
Given points are (–15, 1) and (–7, r).
Slope (m) =
<u>To find the missing coordinate r:</u>
Slope formula:
Substitute the given values in the formula.
Do cross multiplication.
40 = 4r – 4
Add 4 on both side of the equation.
44 = 4r
Divide by 4 on both side of the equation.
11 = r
⇒ r = 11
Hence the missing coordinate r is 11.