Answer:
Step-by-step explanation:
Width=(Length-2) units
W=(L-2) units
Area of the rectangle= 35 square units
Area = length* Width
Subtracting 35 both sides:
Solving the quadratic equation for 'L' ;
Using factorization:
Taking common from the equation :
OR
The length cannot be negative, therefore Length(L)= 7
Use 0 as the y value then solve for x. answer: 3
Answer:
-123
Step-by-step explanation:
The remainder theorem says that when a polynomial is divided by a linear factor x - c (note the minus sign), the remainder is the value of the polynomial at x = c.
When a polynomial P(x) is divided by x - c, the remainder is P(c). In other words, to find the remainder, plug in c for x.
You're dividing by x + 4 which is the same thing as x - (-4) -- the role of c is being played by -4.
3(–4)^3 – (–4)^2 – 20(–4) + 5 = –123
Answer:
(4, 9) does not satisfy the equation
Step-by-step explanation:
Given the linear equation, y = x - 5, and the point, (4, 9):
We can determine whether (4, 9) is a solution to y = x - 5 by substituting their values into the equation.
x = 4, and y = 9:
y = x - 5
9 = 4 - 5
9 = -1 (False statement)
As demonstrated in our calculations, it turns out that (4, 9) does not satisfy the equation. Therefore, (4, 9) is <u><em>not</em></u> a solution to y = x - 5.