Answer:
(A) x=40
Step-by-step explanation:
Given: It is given that m is parallel to n.
To find: The value of x.
Proof: It is given that m is parallel to n, from the figure it can be seen that 105° and (3x-15)° forms alternate exterior angles which are equal in measure because m is parallel to n.
Thus, 
⇒
⇒
⇒
⇒
Thus, the value of x is 40, hence option A is correct.
Answer: The equation of the parabola is
.
Explanation:
It is given that the focus of the parabola is (-5,-5) and the directrix is y=7.
The standard form of the parabola is,

Where y=k-p is directrix and (h,k+p) is the focus.
Since focus is given,

On comparing,

.... (1)
The directrix is y=7.
.... (2)
Add equation (1) and (2),


Put this value in (1).

Put p= -6, h= -5 and k=1 in the standard form of the parabola.


Therefore, the equation of parabola is
.
Answer:1: P 2: d 3:a
Step-by-step explanation:
Answer:
f(-5)=240
g(-7)=-33
Step-by-step explanation:
1) f(x)=3x^2 - 3x
f(-5)= 3×(-5)^2 - 3×(-5) = -15^2 + 15= 225 + 15=240
2) g(x)=5x + 2
g(-7)= 5×(-7) + 2= -35+2=-33