Answer:
k=5
Step-by-step explanation:
step 1
Find the equation of the line f(x)
we have the points
(-4,0) and (-2,2)
<em>Find the slope m</em>
Find the equation of the line in point slope form
we have
substitute
Remember that
f(x)=y
so
step 2
Find the equation of the line g(x)
we have the points
(-4,0) and (-2,-10)
<em>Find the slope m</em>
Find the equation of the line in point slope form
we have
substitute
Remember that
g(x)=y
so
Remember that
------>
therefore
k=5
Answer:
please last option
using 45 degree as reference angle
using tan relation
Tan45=perpendicular /base
1 = x\6
x = 6
now using right angled triangle relation
H²=p²+b²
then h²= 6²+6²
H = √36+36
H =6√2
therefore y=6√2
Answer:
5x-26
Step-by-step explanation:
3(3x-6)-4(x+2)
Distribute the 3 and -4.
9x-18-4x-8
Combine like terms.
5x-26
Answer: the length of the ladder is 40 meters.
Step-by-step explanation:
The ladder forms a right angle triangle with the wall and the ground.
The length of the ladder represents the hypotenuse of the right angle triangle.
The distance of the base of the ladder due west of the burning building represents the adjacent side of the right angle triangle.
To determine the length of the ladder, h, we would apply the cosine trigonometric ratio. It is expressed as
Cos θ = adjacent side/hypotenuse. Therefore,
Cos 51 = 25/h
h = 25/Cos 51 = 25/0.6293
h = 40 meters to the nearest meter.
