In the figure below, AC and BD are diameters of circle P.
2 answers:
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Answer:
Find the value of x in each of the given figures.
Step by step explanation :
a. .. Let the triangle be ABC
we have to find the value of A
so
ATTQ ( According to the question) we have ::
B = 25°
C = 105° + ___ = 180° ( adjacent angles)
C = 75 ° = 180° - 105° ( transfer 105° from LHS to RHS)
The sum of all interior angles of a triangle is 180° .
so, A+B+C = 180°
A+ 25° + 75° = 180°
A+ 100° = 180°
A= 180° - 100°
A = 80°
therefore answer is 80°
b. .. Let the triangle be ABC.
we have to find the value of x
ATTQ , we have
A= 3x+2°
B=2x°
C = 152° + ___ = 180°
C= 180°- 152° = 28°
The sum of all interior angles of triangle is 180°
so, A+B+C = 180°
3x+2° + 2x° + 28° = 180°
first add the variables then numbers
5x° + 30° = 180°
5x° = 180° - 30°
5x ° = 150°
x° = 150° / 5
x = 30°
therefore answer is 30°
...
thank you so much..
Answer:
Part A) Kesley is correct
Part B) g'(x)=3x2-2x-4
Part C) Graph attached
Part D) Explained
Step-by-step explanation:
Part A)
Kelsey is correct because no. of 0s in a 3rd degree polynomial be 3. which means the no. of intercepts will be 3. Thus Ray is incorrect as no. of 0s and x-intercept are similar thing.
Further a graph is attached of g(x) = x3 − x2 − 4x + 4 to describe the key features of g(x), including the end behavior. We can see that there are 3 x-intercepts at (2,0), (1,0) and (-2,0) which validates the point of Kelsey that the function can have as many as 3 zeros only because it is 3rd degree polynomial.
Part B)
As the second part of the new coaster is a parabola. To create a unique parabola in the pattern f(x) = ax2 + bx + c
finding derivative of g(x) picked in Part A) i.e.
g(x) = x3 − x2 − 4x + 4
g'(x)=3x2-2x-4
Graph of above is also attache.
From the graph we can see that its downwards directed parabola having vertex at (0.33, -4.33)
x-intercept at -0.87 and 1.53
y-intercept at (0,-4)
The axis of symmetry equation is a vertical line around which the parabola is symmetric is given by equation of a vertical line that passes through the vertex i.e. x=0.33
Part C)
Graph 3 is also attached.
Part D)
For a 15 seconds ad campaign, following features can be included:
Roller coaster that have a three rise
two sharp dips
the 2nd dip goes more deeper than the first one!
