Answer: the area of the shaded region is 21.5 cm²
Step-by-step explanation:
The formula for determining the area of a circle is expressed as
Area = πr²
Where
r represents the radius of the circle.
π is a constant whose value is 3.14
From the information given,
Diameter of circle = 10 cm
Radius = diameter/2 = 10/2 = 5 cm
Area of circle = 3.14 × 5² = 78.5 cm²
The length of each side of the square is 10 cm. The area of the square would be
10² = 100 cm²
Therefore, the area of the shaded region would be
100 - 78.5 = 21.5 cm²
You have the slope and you have two points, so you can use the slope equation to find x.

So your answer is x = 8.
Answer:
3x²+9x+8
Step-by-step explanation:
x²+x+x(x+2)+1(x+2)+x(x+3)+2(x+3)
x²+x+x²+2x+x+2+x²+3x+2x+6
x²+x²+x²+x+2x+x+3x+2x+2+6
3x²+9x+8
6 (7x - 3)
You have to factor 6 out of 42x - 18.
Hope this Helps!!
Answer:
The slope of the line is 1.
Step-by-step explanation:
We are given two coordinate points:
We can use the rate of change formula to find the slope of the points.
In mathematics, coordinate pairs are labeled as:

Therefore, we can relabel our points:
After we do this, we can expand the rate of change formula:

Now, we can use simple substitution to solve for m, or the slope.

Therefore, the slope of the line is 1.