Your question is a little ambiguous, but I am assuming that you meant to say the function 
Thus, I am solving your question based on assuming the function such as
But, it would still clear your concept, no matter what the function is.
Answer:
we conclude that
The graph is also attached.
Step-by-step explanation:
Given the function
We know that the domain of a function is the set of input or argument values for which the function is real and defined.
As the function has no undefined points nor domain constraints.
Thus, the domain is
Therefore, we conclude that
The graph is also attached.
Answer:
Quaternions are a number system that extends the complex numbers they convenient mathematical notation for representing orientations and rotations of objects in three dimensions
Step-by-step explanation:
My friend and google helped me and my notes
Answer: Answer Number 1; Line AB is similar to
line EF
Line BC is similar to line FG
Line CD is similar to line GH
Line DA is similar to line HE
Step-by-step explanation: First and foremost both
quadrilaterals are similar but of varying dimensions.
If we label both trapezoids as ABCD and EFGH
respectively, then it follows that the corresponding
lines (as stated in the answer above) would also be
similar.
Same applies to the four angles in the interior of the
trapezoids.
Number 2, Angle A equals Angle E
Angle B equals Angle F
Angle C equals Angle G
Angle D equals Angle H
Number 3,
If the scale factor between both figures is 2:3, then
for every length of a side in figure ABCD, the
corresponding side in figure EFGH would be
multiplied by 3/2.
Therefore if AD is 8cm, then EH equals 8 x 3/2
That gives us 12cm.
If GH is 6cm, then DC equals 6 x 2/3. That gives
us 4cm.
If AB is 3 times the length of DC, then AB equals 3
x 4, that gives us 12cm.
If AB is 12cm, then EF equals 12 x 3/2. That gives
us 18cm.
Take note that the shapes are both isosceles
trapezoids, o we have two sides of equal length, AD
and BC in the first figure and then EH and FG in the
other figure.
The first trapezoid has sides 8cm, 12cm, 8cm and
4cm. The perimeter is given as 8+12+8+4 32cm.
The second trapezoid has sides 12cm, 18cm, 12cm
and 6cm. The perimeter is given as 12+18+12+6=
48cm.
Hello!
To the value of b, or the y-intercept, we need to substitute an ordered pair/point into the given equation.
Since we are given two points, we can use those two points to find two different equations.
Remember that ordered pairs are written as (x, y).
A(-2, 4)
y = -3x + b
4 = -3(-2) + b
4 = 6 + b (subtract 6 from both sides)
-2 = b
A) Therefore, the equation of the first ordered pair is y = -3x - 2.
B(5, 2)
2 = -3(5) + b
2 = -15 + b (add 15 to both sides)
17 = b
B) The equation of the second ordered pair is y= -3x + 17.
<u>Final answers</u>:
- A) y = -3x - 2
- B) y = -3x + 17
