Answer: x = 9/2
Step-by-step explanation: 24 = 4x + 6
Answer:
16
Step-by-step explanation:
the equation is x = k / y
therefore k = x* y
k = 2*8
k= 16
Answer:
h(4z)=4+12z / 5+4z
Step-by-step explanation:
The function h is defined by h(x)=4+3x over 5+x
This can be written as
h(x)=4+3x / 5+x
The value of the function at any time depends on the value of x. x is the independent variable. The variable,x can take any value at any time.
To find h(4z), it means that x is taking the value of 4z.
We will substitute 4z in the place of x in the function. This becomes
h(4z)=4+3×4z / 5+4z
h(4z)=4+12z / 5+4z
Answer:
216 min
3 hours and 36 min or 3.6 hours
Step-by-step explanation:
1/9+1/6
6+9/54
15/54
5/18
18/5
60*18/5
1080/5
/= fraction sign
3.6 hours
Step-by-step explanation:
Blake can do work in hours = 9
Blake can do a part of work in 1 hour = 1/9
Ned can paint the same room in six hours.
Ned can do a part of work in 1 hour = 1/6
They can do a part of work together in 1 hour = 1/9+1/6
= 5/18
Now they can do 5/18} part of work in hour = 1
So, they can do whole work in hours = 1/5/18
= 3.6
Hence it will take 3.6 hours to paint the room if they work together.
First, let me introduce the general equation of the parabola:
(x-h)^2 = +/- 4a(y-k) or (y-k)^2=+/- 4a(x-h), where
(h,k) are the coordinates of the vertex
a is the distance of the vertex to the focus
4a = length of lactus rectum or the focal width
If the equation contains (x-h)^2, then the parabola passes the x-axis twice. Similarly, (y-k)^2 passes the y-axis twice. If the sign is (-), it opens to the left(if y-axis) or downward (if x-axis). If the sign is (+), it opens to the right(if y-axis) or upward (if x-axis).
The equation of the parabola is -1/12 x^2 = y. Rearranging to the general form:
x^2 = -12y
Therefore,
-4a = -12
4a = 12
a = 3, and the parabola is facing downwards.
The vertex is (0,0) at the origin.
The focus is (0,-3). Since it is negative, the focus is situated downwards, hence -3.
The directrix is the mirror image of the focus. Hence, it is a line passing +3 on the y-axis. y=3
Focal width is 4a which is equal to 12 units.
