The area of the shaded region will be the area of the rectangle minus the area of the white square inside of it:
((x+10)(2x+5)) - ((x+1)(x+1))
First, FOIL both of the areas separately:
(2x^2 + 5x + 20x + 50) - (x^2 + x + x + 1)
Simplify within the parentheses by adding like terms:
(2x^2 + 25x + 50) - (x^2 + 2x + 1)
Now, subtract one equation from the other:
2x^2 + 25x + 50
-x^2 - 2x - 1
= x^2 + 23x + 49
This will be the equation for the area.
Answer:
A.-3/7
Step-by-step explanation:
the slope formula is
m = (y2 - y1) / (x2-x1)
The point (4, 2) is (x1, y1) and the point (-3, 5) is (x2, y2). Now you have to substitute in the slope formula:
m = (5 - 2) / (-3 - 4)
m = 3 / -7
m = -3/7
Because when divided a fraction u must flip a fraction and cross multiply
1/2÷5/6
1/2×6/5
3/5
Add the x and y and you will get 4x^4=8y^2