Step-by-step explanation:
y = -6x + 10 (1)
-5x + y = -1 (2)
Sub (1) into (2)
-5x + (-6x + 10) = -1
-5x - 6x + 10 = -1
-11x = -11
-11x/-11 = -11/-11
x = 1
Sub x = 1 into (1)
y = -6(1) + 10
y = -6 + 10
y = 4
Step-by-step explanation:
focus=(0,4)
Direcrtrix,y=-4
p=4
vertex=(0,0)
Open upward
(x-h)²=4p(y-k)
(x-0)²=4(4)(y-0)
(x-0)²=16(y-0)
You can use the similarity approach of these two triangles CBD and CAE
as a result:
so:
? = 6x^2 / 10 = 0.6 x^2
and the fact of:
"The
segment connecting the midpoints of two sides of a triangle is parallel to the
third side and equals its half length"
so:BD = 0.5 AE 10 = 0.5 * 2x >>> x= 10
Back to:
? =0.6 x^2 = 0.6 * 10^2 = 0.6 * 100 = 60
AHope that helps
Do you have a specific equation I can help you with. I can explain them better with a problem to look at?