Answer:
Area of the shaded region = 6.88 cm²
Step-by-step explanation:
Area of the shaded region = Area of the rectangle - Area of the semicircle
Area of the rectangle = Length × Width
Length of the rectangle = AD = 8 cm
Width of the rectangle = OP = 4 cm [OP, OB and OC are the radii of the circle which are equal in measures]
Area of the rectangle = 8 × 4 = 32 cm²
Area of the semicircle = 
= 
= 
= 25.12 cm²
Area of the shaded region = 32 - 25.12
= 6.88 cm²
Answer:
x=-6
Step-by-step explanation:
Let x be the number
3x = x^2 -54
Subtract 3x
3x-3x = x^2 -3x-54
0 = x^2 -3x-54
Factor
What 2 numbers multiply to -54 and add to -3
-9*6 = -54
-9+6 = -3
0=(x-9) (x+6)
Using the zero product property
x-9=0 x+6=0
x=9 x=-6
The questions asks for the negative solution
x=-6
Answer:
19) ( 
)^2 = 
20) -
= -81
21) 
= 16
Step-by-step explanation:
The only wrong ones are
19) ( )^2 =
20) - = -81 ... negative is not inside a parenthesis that's why it is still negative
21) you can add another way is = 16
Everything else looks good. Great job!
Answer:
y= (-3x +14.50) / 8
Step-by-step explanation:
Isolate the 8y
Subtract 3x from both sides
8y = -3x + 14.50
Then, isolate the left to only y
y= (-3x +14.50) / 8
