Answer:
-2 and 0
Step-by-step explanation:
length of square = 18
x = side of square
x-7 = side of triangle
3(x-7) + 39 = 4x
3x-21 + 39 = 4x
3x+18 = 4x
18=x
square 18x4 =72(perimeter square)
triangle side (18-7=11)
11x3 = 33(perimeter triangle)
72-33=39
Answer:
Dimensions of the poster
Width 29.10 cm
Height 38.80 cm
A(min) = 1129.08 cm²
Step-by-step explanation:
Printed area = 390 cm² = Ap
Lets call x and y dimensions of printed area
x width
y height
Then Ap = x*y and
y = Ap/x ⇒ y = 390/x
Then total area of the poster is:
A(t) = ( x + 12 ) * ( y + 16 ) and y = 390/x
A as a function of x
A(x) = ( x + 12 ) * ( 390/x + 16 ) ⇒ A(x) = 390 + 16x + 4680/x + 192
A(x) = 582 + 16x + 4680/x (1)
Taking derivatives
A´(x) = 16 - (4680/x²) ⇒ A´(x) = 0
[ 16x² -4680] /x² = 0 16x²- 4680 = 0 ⇒ x² = 4680/16
x = 17.10 cm and y = 390/x y = 390/17.10 y = 22.80 cm
A(t) = ( 17.10 + 12 ) * ( 22.80 + 16 )
A(t) = 29.10 * 38.80
A(t) = 1129.08 cm²
If we substitute in equation (1) the value of x ( 17.10) we see A(x) > 0
Then there is a minimun at the point x = 17.10
Reciprocal of 18/5 is 1 / 18/5 = 5/18 Answer
Answer:
<h2>
</h2>
Step-by-step explanation:
When there is a (+) in front of an expression in parentheses, the expression remains the same:
Calculate the sum of difference
Hope this helps..
Good luck on your assignment...
