Answer:
132 cm²
Step-by-step explanation:
Consider the shape as a trapezoid with a rectangle added on top.
The area of the trapezoid is (7+19)/2 × 8 =104
The area of the rectangle is 7×4 = 28
Add the two areas: 104+28= 132
OR consider the shape as a tall rectangle with the two triangles added to the sides.
The area of the rectangle is 7(4+8) = 84
The area of the triangles is 8(19-7)/2= 48
[Each triangle is 24 cm²]
Add those areas
84+48=132
Same result: 132 cm²
Answer:
Given the statement: if y =3x+6.
Find the minimum value of 
Let f(x) = 
Substitute the value of y ;

Distribute the terms;

The derivative value of f(x) with respect to x.

Using 
we have;

Set 
then;


By zero product property;
and 2x + 3 = 0
⇒ x=0 and x = 
then;
at x = 0
f(0) = 0
and
x = -1.5

Hence the minimum value of
is, -5.0625
Log of 1 / 100 is - 2 because 10^( - 2 ) = 1 / 10^2 = 1 / 100 ;
Answer:
Step-by-step explanation:
Adam plans to choose a video game from a section of the store where everything is 75% off.
The expression written by him for this situation is d - 0.75d.
Here, the part d represents the sale price before discount and the part 0.75d is the discount amount.
The expression written by Rena is 0.25d.
Here, the part 0.25d is the price after discount. Since 75% is the discount, the rate after disount is 25% and 25% of d is 0.25d.
Answer:
.0000111
Step-by-step explanation:
move the decimal five places to the left because the 5 is negative