The line x - y = 5 passes through the point (0, -5)
Answer:
4 cm
Step-by-step explanation:
The equation of a parabola with its vertex at the origin can be written as ...
y = 1/(4p)x^2
The problem statement tells us that one point on the parabola is (x, y) = (12, 9). We can put these values into the equation and solve for p, the distance from the focus to the vertex.
9 = 1/(4p)(12^2)
9×4/144 = 1/p = 1/4 . . . . . . . . multiply by the inverse of the coefficient of 1/p
Then p = 4, and the bulb is 4 cm from the vertex.
<h2>
Answer:</h2>
A prism is a solid object having two identical bases, hence the same cross section along the length. Prism are called after the name of their base. A rectangular prism is a solid whose base is a rectangle. Multiplying the three dimensions of a rectangular prism: length, width and height, gives us the volume of a prism:

FOR THE ORIGINAL PRISM WE HAVE THE FOLLOWING DIMENSIONS:

In fact, the volume is
because:

Now the height of the prism was changed from 3 centimeters to 6 centimeters to create a new rectangular prism, therefore:
FOR THE NEW PRISM WE HAVE THE FOLLOWING DIMENSIONS:

So the new volume is:

<h3><em>What do we know about the volume of the new prism?</em></h3>
<em>Well, the volume has increased from </em>
<em>and since</em>
<em>we can say that the new volume is two times the original volume.</em>
Step-by-step explanation:
2 ( 8 - 3c) = 4c - 34
16 - 6c = 4c - 34
6c + 4c = 16 + 34
10c = 50
c = 50/ 10
therefore c = 5
Hope it will help :)
Answer:
3 feet
Step-by-step explanation:
the volume of the aquarium is V= Lx wx H
it is as of now given that V=11.25 cubic feet, so 11.25=LxWxH
H tallness and it is the aquarium's profundity
H=11.25/L xW= 11.25/2.5x1.5= 3 feet