Answer:
h
8
Step-by-step explanation:
h-(-2)
10=h+2
10
subtract 2 on both sides to get h
8
Answer:
Step-by-step explanation:
c. 235.00 intrest rate
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
Answer:
Step-by-step explanation:
Two lines are perpendicular to each other if they both intersects and the two lines are inclined at angle 90°
Since they are inclined at 90° to each other, hence they create right angles.
The lines can also lines on the same plane to form a right angles. This are called coplanar lines.
From the above explanation, the following are true;
I) Perpendicular lines intersect
II) Perpendicular lines create right angles
V) Perpendicular lines are coplanar
They are not collinear because they can't lie on the same straight line. Collinear lines are known to lie on the same straight line.