Answer: SOLN,
let,<FHC be x
<GHC+<FHC( sum of angle of triangle=180 degree
x+6m+55+8m+55=180
x+ 14m+110=180
x+14m=180-110
x+14m=70
x=70 divied by 14m
x=5m
therefore,the value of <FHC is 5m.
Answer:
the surface area is 208
Step-by-step explanation:
formula for surface area is A = 2 (w*l + h*l + h*w )
A = 2 ( 4*8 + 6*8 + 6*4 )
A = 2 ( 32 + 48 + 24 )
A = 2 ( 104 )
A = 208
Answer:
F(m) = -12
Step-by-step explanation:
Given the function:
When m = 4, we substitute the variable 'm' for the number 4:
F(m) = 256 - 384 + 80 + 40 - 4
F(m) = -12
Answer:
No
Step-by-step explanation:
polynomial does not have any zero terms
Answer:
The equation of the parabola is 
.
Step-by-step explanation:
Since the directrix is of the form 
, the parabola is vertical. The vertex of the parabola (
) is the midpoint between the focus (
) and a point of the directrix (
), that is to say:
(1)
If we know that 
and 
, then the coordinates of the vertex of the parabola:
The vertex factor (
) is the distance of the focus with respect to the vertex:
![p = \sqrt{[F(x,y)-V(x,y)]\,\bullet \,[F(x,y)-V(x,y)]}](https://tex.z-dn.net/?f=p%20%3D%20%5Csqrt%7B%5BF%28x%2Cy%29-V%28x%2Cy%29%5D%5C%2C%5Cbullet%20%5C%2C%5BF%28x%2Cy%29-V%28x%2Cy%29%5D%7D)
(2)
If we know that and , then the vertex factor is:
The equation of the parabola in the vertex form is described below:
(3)
Where:
- Independent variable.
- Dependent variable.
- Coordinates of the vertex.
If we know that 
and , then the equation of the parabola is .
