Sketch the points (0,5,2),(4,0,-1),(2,4,6) and(1,-1,2) o a single set of coordinate axes?
1 answer:
Explanation:
As points have three coordinates i.e. x, y and z hence the sketch of the given four points is drawn in 3D shape and for that picture is attached here with this answer.
Points are given in the format as below
(value of x-coordinate , value of y-coordinate , value of z-coordinate)
In the attachment:
Point A = (0,5,2) (in blue color)
Point B = (4,0,-1) (in purple color)
Point C = (2,4,6) (in orange color)
Point D = (1,-1,2) (in black color)
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Answer:
1. diagram in the attachment
2. AB = 32.3 ft
Step-by-step explanation:
2. from the diagram:
Answer:
Option C = 15
Step-by-step explanation:
In principle when a function <em>f(x) </em>varies directly with <em>x</em> it suggests that any changes in x results in the equivalent changes in<em> f(x)</em>. If we have two variables, i.e. <em>y</em> representing<em> f(x)</em> and <em>x</em> representing itself, any increment/decrement in <em>x</em> will result to the same increment/decrement in <em>y</em> by a factor <em>a, thus we can say that y = ax, implying y and x have the same ratio. </em>
In the given question we know that <em></em> when
<em>, </em>which translates as
This tells us that varies by a factor (lets call it)
for a given value of
.
To find this factor we can just divide 45 with 9 which gives:
Thus the factor here is
which finally tells us that
Eqn (1) our original function.
Since we now know our function we can plug in the value for and solve for
as follow:
Looking at the given options in the question we can conclude that the correct answer is Option C = 15