Answer:
y = x - 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = , thus
y = x + c ← is the partial equation
To find c substitute (3, - 1) into the partial equation
- 1 = 2 + c ⇒ c = - 1 - 2 = - 3
y = x - 3 ← equation of line
Answer:
The probability that a given class period runs between 50.25 and 50.75 minutes = 0.25
Step-by-step explanation:
Length of the class = 52 - 50 = 2
The probability density is
The probability that a given class period runs between 50.25 and 50.75 minutes. is calculated by multiplying range with the probability density.
Range = 50.75 - 50.25 = 0.5
Now the probability P (50.25<x<50.75) = 0.5 × 0.5 = 0.25
This is the probability that a given class period runs between 50.25 and 50.75 minutes.
Answer:
6. y² = 169x
7. y² = 12x
8.
Step-by-step explanation:
The equation of a quadratic function in vertex form is given by
(y - α)² = 4a(x - β)
Where, (α,β) is the vertex of the function and a is the distance from vertex to its focus.
6. Here, (α,β) ≡ (0,0) and a point on the equation is (1,13)
So, the equation will be y² = 4ax
⇒ 13² = 4a(1)
⇒ 4a = 169
Therefore, the original equation will be y² = 169x (Answer)
7. Here also the vertex is (0,0) and a point on the equation is (3,-6),
So, (-6)² = 4a(3)
⇒ 4a = 12
So, the equation is y² = 12x (Answer)
8. Here also the vertex is (0,0) and a point on the equation is (),
So,
⇒
So, the equation is (Answer)