Answer:
A. Z = 2 + N13
Step-by-step explanation:
Let's solve your equation step-by-step.
0=z2+4z−9
Step 1: Subtract z^2+4z-9 from both sides.
0−(z2+4z−9)=z2+4z−9−(z2+4z−9)
−z2−4z+9=0
For this equation: a=-1, b=-4, c=9
−1z2+−4z+9=0
Step 2: Use quadratic formula with a=-1, b=-4, c=9.
z=
−b±√b2−4ac
2a
z=
−(−4)±√(−4)2−4(−1)(9)
2(−1)
z=
4±√52
−2
z=−2−√13 or z=−2+√13
Given the polynomial expression:
(y + 5)²
(y - 5)(y + 5)
Let's simplify each of the given expression:
a.) (y + 5)²
The given equation is a factor of a perfect square trinomial. For this type of expression, the following is the formula for expanding it.

We get,


b.) (y - 5)(y + 5)
To be able to simplify the following expression. We will be using the formula for the difference of two squares.

We get,

It would be both the penny and the quarter.
The hundredth place would be the third one from the left.
_._ _ _
So therefore the quarter and penny both have a five in that spot.
When you write a function in the form
, y is the dependent variable, and x is the independent variable.
So, if b is the independent variable, it means that we have to solve the expression for r.
To do so, we perform the following steps: start with

Add 12 to both sides

Divide both sides by 4:

So, we wrote the expression in the form
, which means that r is the dependent variable and b is the independent variable, as requested.