Draw a line from Y through the center of the circle to the opposite edge. Label the opposite edge T. ZYT = 90o. That's a property of a tangent line and a diameter touching the tangent point.
ZYX = 60o Given
TYX + ZYX = 90o Property of a diameter and circles. That's
TYX = 90 - 60
TYX = 30.
The arc measurement between T and X = 60o Property of a central angle and an angle whose vertex is on the circumference sharing the same endpoints of chord are related by a ratio of 2:1.
The rest of the arc = 120o. The rest of the arc is 180 - 60 = 120. The rest of the arc is XYZ which is 120o
Arc XYZ is bisected by YW. Therefore Arc XW = 120/2 = 60
The answer is A.
The function is increasing from x = 0 to x = 1..
The function is decreasing from x = −1 to x = 0..
The function is decreasing from x = 0 to x = 1..
Answer:
The statement that is true for the function is:
The function is increasing from x = 0 to x = 1.
Step-by-step explanation:
We are given a table of values for the function g(x) as:
x g(x)
-2 2
-1 -3
0 2
1 17
By looking at the table of values of the function g(x) we have:
The function g(x) is firstly decreasing from x=-2 to x=-1
Then it is increasing from x=-1 to x=1.
Hence, the statement that holds true from the given set of values of function g(x) is:
The function is increasing from x = 0 to x = 1.
( Since, the function takes the value at x=0 as g(x)=2
and the function takes the value at x=1 as g(x)=17)
Step-by-step explanation:
Expand:
Simplify:Addvalues
Collect like terms and simplify
Divide both sides of the equation by12
Simplify
Answer:
x = 1
Step-by-step explanation:
Original Equation:
3(4x - 3) = -4 + 7
Use the distributive property.
3 x 4x = 12x
3 x -3 = -9
Equation:
12x - 9 = -4 + 7
Add 4 to both sides.
12x - 5 = 7
Add 5 to both sides.
12x = 12
Divide both sides by 12
x = 1
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s+1/4 = 4/8
s=
Answer:
8 = 16
Step-by-step explanation:
1/4 = 4 /8
Cross multiply:
1 * 8 = 4 * 4
Simplifying
1 * 8 = 4 * 4
Multiply 1 * 8
8 = 4 * 4
Multiply 4 * 4
8 = 16
Solving
8 = 16