Answer: 
<u>Step-by-step explanation:</u>
When you subtract b/2a from both sides, you end up with the Quadratic Formula.
*im sorry but I cant see the bottom number but I'll consider it as x
tan 45° = 3/x
x = 3/tan45
x is 3
hope this helps :)
The value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
<h3>What is synthetic division?</h3>
In the case of dividing by a linear factor, the synthetic division is a shorthand, or quicker, a technique of polynomial division.
The question is attached to the picture please refer to the picture.
We have a polynomial:
x³ - 3x² - 10x + 24
Which is divided by (x - 2)
We can divide using the synthetic division:
The first row: 1 -3 -10 24
The entry outside the row: 2
The missing value which is 2
k = 2
Thus, the value of k is 2 if the polynomial x³ - 3x² - 10x + 24 is divided by the expression (x - 2).
Learn more about the synthetic division here:
brainly.com/question/11850611
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F(x) = a(x - h)³ + k
The parent graph is F(x) = x³
k - shifts the parent graph up k-units (or down if it is negative). This is also called a vertical shift.
h - shifts the parent graph to the right h-units (or left if it is negative). This is also called a horizontal shift.
a - stretches the parent graph vertically by a factor of "a"
Additonally, the coordinate (h, k) is the center/vertex of the graph.
Answer:
y² + 8y + 16
Step-by-step explanation:
Given
(y + 4)²
= (y + 4)(y + 4)
Each term in the second parenthesis is multiplied by each term in the first parenthesis, that is
y(y + 4) + 4(y + 4) ← distribute both parenthesis
= y² + 4y + 4y + 16 ← collect like terms
= y² + 8y + 16