Answer:
system results in a true statement
Step-by-step explanation:
Answer:
y = -2x - 12
Step-by-step explanation:
Answer:
(x+2)²=4(y-4)
or y=1/4 (x+2)²+4
Step-by-step explanation:
directrix y=3 and focus (-2,5) to find te equation of parabola we use the equation :
(x-h)²=4p(y-k)
vertex(h,k) : the vertex is half way between the focus and the directrix
y(vertex)=y(focus)+directrix/2
y=5+3/2 ⇒8/2=4
x is the same as the c of the focus =-2
vertex (-2,4)
to find the distance (p) which is the distance between the vertex and focus
p=5-4=1
substitute h=(-2), k=(4) and p=(1) in the equation : (x-h)²=4p(y-k)
(x-(-2)²=4(1)(y-4)
(x+2)²=4(y-4)
Answer:
x + 2 = 0 and y - 3 = 0
Step-by-step explanation:
We have to find the solution of the system of equations
6x + 2y = - 6 ........... (1)
⇒ 12x + 4y = - 12 .......... (2) and
3x - 4y = - 18 ........... (3)
Now, solving equations (2) and (3) we get,
15x = - 30
⇒ x = - 2
Hence, from equation (1) we get, 2y = - 6 - 6x = - 6 - 6(- 2) = 6
⇒ y = 3
Therefore, the solution of the given system of equations is (-2,3).
Now, x + 2 = 0 and y - 3 = 0 are another system of equations that have the same solutions. (Answer)
