Answer:

Step-by-step explanation:
Let that number be
. We can build an equation, and solve for
.
less than half of
is
.
more than
is
.
We are given that the two quantities are equal, so we have that
.
Adding
to both sides gives
.
Multiplying both sides by
gives
.
Subtracting
from both sides gives
.
Multiplying both sides by
gives
.
So, the number is
and we're done!
The check is left as an exercise to the reader.
Answer: (1.5, 0)
Step-by-step explanation:
Given : The shape of his satellite can be modeled by
where x and y are modeled in inches.
Now,the given equation
is a equation of parabola.
Here, coefficient of x is positive, hence the parabola opens rightwards.
On comparing this equation with standard equation
, we get

In standard equation, coordinates of focus=(m,0)
Thus for given equation coordinates of focus=(1.5,0)
Answer: I'm thinking it's reflectional symmetry.
Step-by-step explanation:
Answer:
Height of cylinder is
.
Step-by-step explanation:
Diameter of cylinder, D = 6 feet
Relation between Radius, R and diameter, D is given by:

So, radius, R =
feet
Let height of cylinder be
feet.
Formula for volume of cylinder is given by:

Where, R is the radius of base of cylinder
and H is the height of cylinder
We are given that,

Using formula for volume, 

Hence, Height of cylinder is
.
Hi!
Our goal is to isolate x on one side by doing the same operation on both sides.
First let's use the distribution property.
-2 x 6 = -12
-2 x 3 = -6
-12x - 6 = -27 - 5x
Add 6 to both sides
-12x - 6 + 6 = -27 + 6 - 5x
-12x = -21 - 5x
Add 5x to both sides
-12x + 5x = -21 - 5x + 5x
-7x = -21
Divide by -7 on both sides
-7x/-7 = -21/-7
x = 3
The answer is x = 3
Hope this helps! :)