Answer:
D
Step-by-step explanation:
Simply put, domain means the x value and range means the y value.
<em><u>The question asks for the corresponding range (y-value) for domain (x-value) of 2. </u></em>
Looking at the graph, x value of 2 corresponds to y value of 4. So the answer is 4.
Correct answer is D
Answer:
The length of a 180° arc of a unit circle is π ≈ 3.14 units.
Step-by-step explanation:
Use your knowledge of the circumference of a circle (the length full around) and the fact that there are 360° in the central angle of a full circle. The distance around is proportional to the angle, so an arc of measure 180° will have a length equal to
... (180°/360°) × circumference = (1/2)×circumference
For a unit circle, the circumference is 2π (= π×diameter = 2π×radius). Half that length is π units.
Answer:
sin(A-B) = 24/25
Step-by-step explanation:
The trig identity for the differnce of angles tells you ...
sin(A -B) = sin(A)cos(B) -sin(B)cos(A)
We are given that sin(A) = 4/5 in quadrant II, so cos(A) = -√(1-(4/5)^2) = -3/5.
And we are given that cos(B) = 3/5 in quadrant I, so sin(B) = 4/5.
Then ...
sin(A-B) = (4/5)(3/5) -(4/5)(-3/5) = 12/25 + 12/25 = 24/25
The desired sine is 24/25.
The two values of roots of the polynomial
are 
<u>Solution:</u>
Given, polynomial expression is 
We have to find the roots of the given expression.
In order to find roots, now let us use quadratic formula.

Given that
Here a = 1, b = -11 and c = 15
On substituting the values we get,


Hence, the roots of given polynomial are 
Answer:

Step-by-step explanation:
multiply the numerator/denominator of the first fraction by (x - 4)
multiply the numerator/denominator of the second fraction by (x + 2)
this ensures that the fractions have a common denominator
- 
=
-
← subtract numerators leaving the common denominator
= 
=