Answer:
see explanations
Step-by-step explanation:
The given blue line has a slope of m = -1/2.
The line parallel to the given line passing through point (x0,y0)=(2,3) is given by the point-slope form:
(y-y0)=m(x-x0)
substitute values
(y-3) = (-1/2)(x-2)
Expand and transpose
y = (-1/2)x + 1 + 3
y = (-1/2)x + 4 ....................(1)
We choose the second equation b. x+2y=8 and convert to slope-intercept form:
2y=-x+8
y = (-1/2)x + 4, which is exactly equation (1)
So
b. x+2y=8 is the correct answer.
I created this using a graphing calculator website called Desmos! You can use this to further explore slopes and lines and graphing in general :)
There are six of them.
2 / (1/3) = 6
Answer:
93 m
Step-by-step explanation:
We solve this above question using the Trigonometric function of Tangent
tan θ = Opposite/Adjacent
Opposite = Height of the tree = ?? = x
Adjacent = Distance from the base of the tree = 78m
θ = 50°
Hence:
tan 50 = x/78
Cross Multiply
x = tan 50 × 78
x = 92.956780222m
Approximately = 93 m
Therefore, the tree is 93 meters tall
Just replace x with whatever , and see if it works. If it works then it is a solution; otherwise it's not.
1^2 is not 2
(1/2)^2 isn't 2 either...
and so on
