Answer:
B
Step-by-step explanation:
Remark
If we draw a line from F to T, we can make a couple of statements.
Call the center of the circle O
1. <FTE = 1/2 the central angle of <FOE. The size of <FOE is the same size as the minor arc. Since The minor arc = 60 degrees, then FTE = 30 degrees.
2. <GTF = 1/2 78 by the same reasoning used above. GTF = 39 because that is 1/2 of 78.
So the answer to the size of <T = 39 + 30 = 69 which is B
There is a much simpler way of doing this.
The central angle of the two arcs is 78 + 60 = 138
The <GTE is 1/2 the central angle
<GTE = 1/2 * 138 = 69
E) 2
Remember that the first derivative of a function is the slope of the function at any specified point. We've been told that f(0) = -5 and that f'(x) is always less than or equal to 3. So let's look at the available options and see what the average slope would have to be in order to get the specified value of f(2).
A) -10: (-10 - -5)/(2 - 0) = -5/2 = -2.5
B) -5: (-5 - -5)/(2 - 0) = 0/2 = 0
C) 0: (0 - -5)/(2 - 0) = 5/2 = 2.5
D) 1: (1 - -5)/(2 - 0) = 6/2 = 3
E) 2: (2 - -5)/(2 - 0) = 7/2 = 3.5
Now taking into consideration the mean value theorem, the value of the function f'(x) has to have the value equal to the average slope between the two points at at least one point between the two given values. For options A, B, C, and D it's possible for f'(x) to return values that make that slope possible. However, for option E, the mean value theorem indicates that f'(x) has to have the value of 3.5 for at least 1 point between x=0 and x=2. And since we've been told that f'(x) is less than or equal to 3 for all possible values of x, that is in conflict and f(2) can not have the value of 2.
Answer:
The value of x and y for the given two linear equation is x = 7 , y = - 3
Step-by-step explanation:
Given two linear equation as :
x + 2 y - 1 = 0
Or, x + 2 y = 1 ..........A
x - 2 y = 13 ............B
Now, Solving both equations A and B
i.e (x + 2 y) + (x - 2 y) = 1 + 13
Or, (x + x) + (2 y - 2 y) = 14
Or, 2 x + 0 = 14
Or, 2 x = 14
∴ x = 
i.e x = 7
Now, Put the value of x into eq A
So, 7 + 2 y = 1
Or, 2 y = 1 - 7
Or, 2 y = - 6
∴ y = 
i.e y = - 3
So, The value s of x = 7 and y = - 3
Hence, The value of x and y for the given two linear equation is x = 7 , y = - 3 Answer
To convert to radians, multiply the number of degrees by π/180°.
60° in radians is
π/3.
Hope this helps!
Answer:
distributive property
Step-by-step explanation:
-(5)
-1(5)
-1x5=-5
