Answer:
The dimensions of the original rectangle are Length =12cm, Width=8cm
Step-by-step explanation
Let the length of the rectangle be x
Let the width of the rectangle be y
The perimeter of a rectangle is 40cm.
2(x+y)=40
Divide both sides by 2
x+y=20
If the length were doubled(2x) and the width halved(y/2), the perimeter would be increased by 16cm,i.e.(40+16)cm
Therefore:
Divide both sides by 2
From the first equation, x=20-y.
Substitute x=20-y into
Answer:
Los radios de los círculos son
,
,
, respectivamente.
Las áreas de los círculos son
,
,
, respectivamente.
Step-by-step explanation:
La circunferencia (
) se calcula mediante la siguiente fórmula:
(1)
Donde
es el radio del círculo.
Una vez hallado el radio, se determina el área de la figura geométrica (
) mediante la siguiente fórmula:
(2)
Si conocemos que las circunferencias son
,
y
, respectivamente:
1) Radios de los círculos
,
, 
,
, 
2) Áreas de los círculos
,
, 
,
, 
The axis of symmetry is the fold line that splits the parabola down the middle.
Now, since a parabola is symmetrical, every point, except the vertex, will have a mirror image of another point if we folded the parabola over the axis of symmetry.
So if we know the axis of symmetry is x = 3 and one of our points
has the coordinates (5, 0), the other point will have the coordinates (3, 0).
The axis of symmetry is always halfway between the x-intercepts.
Answer:

Step-by-step explanation:
The equation of the line in point-slope form is:

Where m is the slope and
is a point of the line.
The slopes of two perpendicular lines are opposite reciprocal, then the other slope is:
m=
Substitute the slope and the given point into the equation, then you obtain:

1 thousand
1 hundred---- need to round up
6 tens
1 ones
Would be rounded up to 1200
Hope this helps