The parabola is y² = 6x
This defines a parabola with its vertex at the origin (0,0).
When the equation is compared with y² = 4ax, then
4a = 6
a = 3/2
Therefore the focus is at
(a, 0) = (3/2, 0)
The directrix is located at
(-a, 0) = (-3/2, 0)
The parabola opens right because a > 0.
Answer:
The directrix is x = - 3/2.
The parabola opens right.
Answer:
x=6
Step-by-step explanation:
Solve for x:
5 (2 x - 8) - 15 = 5
5 (2 x - 8) = 10 x - 40:
10 x - 40 - 15 = 5
Grouping like terms, 10 x - 40 - 15 = 10 x + (-40 - 15):
10 x + (-40 - 15) = 5
-40 - 15 = -55:
10 x + -55 = 5
Add 55 to both sides:
10 x + (55 - 55) = 55 + 5
55 - 55 = 0:
10 x = 5 + 55
5 + 55 = 60:
10 x = 60
Divide both sides of 10 x = 60 by 10:
(10 x)/10 = 60/10
10/10 = 1:
x = 60/10
The gcd of 60 and 10 is 10, so 60/10 = (10×6)/(10×1) = 10/10×6 = 6:
Answer: |
| x = 6
Answer:
1. 1/4
2. 43/10 or 4 3/10 either are correct.
3. 67/12 or 5 7/12 either are correct.
Step-by-step explanation:
I hope this helped.
Answer:
x equals six start fraction one over two end fraction
Step-by-step explanation:
Segments which are parallel have the same slope. Find the slope of of YZ. Then using that value, find the slope WX and solve for the value of x.
Slope of YZ is:
Since they are parallel, then WX has a slope of 4/3 too.
Slope of WX is:
Answer:
D
12²
Step-by-step explanation:
Given in the question, an integer = 144
To find the exponential form 144 we will do factorisation
The prime factorisation of 144 is
2 × 2 × 2 × 2 × 3 × 3
So the exponential form is 2
× 3²
The other way is
√144 = 12
which means
12² = 144
