Answer:
Hey there!
First, we want to find the side length of the large triangle.
1/2bh=y cm^2
bh=2y cm^2
Since b and h are the same here, we have b^2= 2y,
.
And we have FC=
.
Area of shaded triangle:
.
This is equal to:
, or y/4.
Let me know if this helps :)
Answer:
height = 9.28m
Step-by-step explanation:
Sum of angle in a triangle = 180°
To find the third angle, we have
180° = 71° + 62° + α
180° = 133° + α
α = 180° - 133°
α = 47°
To find the height use sine rule
h/sin47° = 12/sin 71°
h(sin71°) = 12sin47°
h = 12sin47° / sin71°
h = 12(0.7314) / 0.9455
h = 8.7768/0.9455
h = 9.28m
Step-by-step explanation:
Since it is asking for a perpendicular line, we take the reciprocal of the slope in the given equation to use as the slope for the perpendicular line.
In y = x + 2, m = 1. However, for a perpendicular line we flip and multiply by a negative 1.
(Example: If m = 3, we would take the reciprocal of it and it turns into m = -1/3. If m = - 1/4, we would take the reciprocal of it and it turns into m = 4.)
So, the m = 1 turns into a m = -1.
Now, you can use the point (4,-1) to form a point-slope equation first.
y-(-1) = -1(x-4)
Then, use basic algebra to form a slope-intercept form equation.
y + 1 = -x + 4
y = -x +3