Answer:
The equation of the parabola in vertex form is 
.
Step-by-step explanation:
Since the directrix is of the 
, then the equation of the parabola in vertex form is of the form:
(1)
Where:
- Dependent variable.
- Independent variable.
- Least distance between focus and directrix.
, 
- Coordinate of the vertex.
The least distance between focus and directrix is determined by Pythagorean Theorem:
Now, we determine the location of the vertex by the following vectorial formula:
(2)
If we know that and 
, then the location of the vertex is:
And the equation of the parabola in vertex form is .
Answer:
question 19
(2x-5)(3x+1)
Step-by-step explanation:
question 19
6x^2-13x-5
6x^2 coefficient = 6
-13x coeddicient = -13
-5 is constant
multiply coefficient of first term by the constant
i.e. 6*-5= -30
get 2 factors of -30 whoose sum equals -13
-15 +2 = -13
rewrite to have
6x^2-15x+2x-5
3x(2x-5) the firs term
1(2x-5)
add up,
(3x+1)(2x-5)
You use long division when you divide polynomial by other polynomials. You use synthetic division to divide polynomials by binomials of the form (x-k).
Answer:
28
Step-by-step explanation:
We use the concept of similarity to find the value of X.
Δ APR ≡ ΔCDR
∴ AR/CR = PR/DR
(10+x)/x = (15+42)/42
42(10+x) = 57x
420 + 42x = 57x
57x - 42x = 420
15x = 420
x = 420/15
= 28
Answer:
8
Step-by-step explanation:
The square root of 16 is 4, because 4 x 4 = 16
The square root of 4 is 2, because 2 x 2 = 4
Therefore, your problem looks like 4 x 2
4 x 2 = 8
