The Area of Shaded region is equal to the difference in Area of rectangle and Area of triangle .
let's solve for area of rectangle :
Now, Area of Triangle :
So, the area of the shaded region in terms of x :
And since, Area of Shaded region = 44 cm²
By equating the area, we get
Value of x = 2
65 % ------------------ 23.4 items
100 % ----------------- x items
65 : 100 = 23.4 : x
65 x = 100 * 23.4
65 x = 2340
x = 2340 : 65
x = 36
Answer: there were 36 items on the test.
66 inches. Since 1 foot is equal to 12 inches, all you need to do is to multiply 5 with 12. The answer will be 60. Since 6 inches are already given for the answer, just add up 60 with 6 for you to get 66 inches which is equivalent to 5 feet 6 inches.
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
4*(2*x-6)-(10*x-6)=0
2x - 6 = 2 • (x - 3)
8 • (x - 3) - (10x - 6) = 0 -2x - 18 = -2 • (x + 9)
-2 • (x + 9) = 0 Solve : -2 = 0
<span>This equation has no solution.
</span>A a non-zero constant never equals zero.
Solving a Single Variable Equation :
Solve :
x+9 = 0 <span>
</span>Subtract 9 from both sides of the equation :<span>
</span> x = -9
The equation of the circle would be
(
x
−
(
−
4
)
)
2
+
(
y
−
7
)
2
=
6
2
or
(
x
+
4
)
2
+
(
y
−
7
)
2
=
36
