Answer:
y = (x - 5)(4x + 1)
Step-by-step explanation:
The given function y = 4x^2 -19x - 5
Here we have to find the AC method.
Identify the value of A, B and C
A = 4 , B = -19 and C = -5
AC = 4*-5 = -20
Now find the facotr -20 such that when we add those two factors, we have to get the value of B. That is B = -19
Factors are -20 and 1
1 * -20 = -20
1 + (-20) = -19
y = 4x^2 -19x - 5
This can be written using the factors
y = 4x^2 - 20x + 1x - 5
Now let's factor by group the first two terms, then second two terms.
y = 4x (x - 5) + 1(x - 5)
y = (x - 5)(4x + 1)
That's the answer.
Hope this will helpful.
Thank you.
Answer:
Sin(t) =
and 
Step-by-step explanation:
The secant function is the reciprocal function of the cosine function. Therefore, given that
then, if
then
.
On the other hand, if cos (t) = 1/2 ⇒ t = ±
Then, the sin(
) = 
Answer:
1) -7/4
2) 4/7
3) -1/5
Step-by-step explanation:
1) A parallel line would have the same gradient so:
4y = -7x +3
y =
So a parallel line would have the gradient of
.
2) A perpendicular line would have the inverse reciprocal of the gradient so multiplying the 2 gradients would equal -1 so:
Initially Gradient = -7/4
-7/4 x Perpendicular line = -1
Perpendicular line = -1 x 4/-7
Perpendicular line = 4/7
3) Using the same principle, the perpendicular gradient would be -1/5x
Answer:
$100
Step-by-step explanation:
multiply 500 by 0.20
you can also see this as a fraction .20 is also 1/5 so if you take 1/5 of 500 you get 100