The ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
Area of a rectangle
The formula for calculating the area of a rectangle is expressed as:
A = length * width
For the large triangle
Area = 16 * 12
Area of large triangle = 192 square units
For the smaller rectangle
Area = 4 * 3
Area. of small rectangle = 12 square units
Ratio = 12/192 = 1:16
Hence the ratio of the area of the smaller rectangle to the area of the larger rectangle is 1:16
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Number 6 is incorrect. Remember when you see -(-1) that is addition because you are subtracting a negative from a negative so you take the negative sign away and you have a positive. The correct answer to 6 is -75. For number 9 the first thing that you are gonna do is distribute that negative sign to the -12 in parentheses. This will make it a positive 12 which leaves you with
-8+12-31=-27
Next for number 12 you will distribute the - sign onto the -9 in parentheses and the -16 in parentheses. This will leave you with -16+9+16=9
Hope that this helped!
Answer:
(6,1)
Step-by-step explanation:
you just have to substitute the numbers into the equation.
3(6) +9(1)=27
18 +9=27
27=27
Answer:
50 units
Step-by-step explanation:
Find the number of units x that produces the minimum average cost per unit C in the given equation.
C = 0.001x³ + 5x + 250
unit cost f(x) = C/x
= 0.001x³/x + 5x/x+ 250/x
f(x) = 0.001x² + 5 + 250/x
f'(x) = 0.002x - 250/x²
We equate the first derivative to zero
0.002x - 250/x² = 0
0.002x = 250/x²
Cross Multiply
0.002x × x² = 250
0.002x³ = 250
x³ = 250/0.002
x³ = 125000
x = 3√(125000)
x = 50 units
Therefore, the number of units x that produces the minimum average cost per unit C is 50 units.
Answer:correct answer =0
Step-by-step explanation:
Step 1
5x - (x + 3)2
Putting the coefficient of x =2 in the equaton we have
5(2) - (2 + 3)2
Solving out
5(2) - (5)2
= 10- 10
=0
Step 2
Amir's mistake was in the multiplication and wrong use of the negative sign of the bolded below
5(2) - (2 + 3)2 = 10 + (-5)2 = 10 + 25 = 35
-(5)2 cannot give 25 instead 10, so him getting a 25 and wrong use of the negative and positive made his answer wrong.
The right answer as calculated in step 1 = 0
