Answer: i need help on that too
Step-by-step explanation: i need helpppp
The answer to this would be 4(w-4)
Just keep doing what you did in 1. I'll show you how easy it is.
2.
a) g(9) = 9 - 5 / 2 = 4 / 2 = 2.
b) g(0) = 0 - 5 / 2 = 5 / 2 = 2 1 / 2.
c) g(3) = 3 - 5 / 2 = 2 / 2 = 1.
d) g(17) = 17 - 5 / 2 = 12 / 2 = 6.
3.
a) f(3) = 3^2 - 4 = 9 - 5 = 4.
b) f(-4) = -4^2 - 4 = 16 - 4 = 12.
c) f(0) = 0^2 - 4 = 0 - 4 = -4.
d) f(-2) = -2^2 - 4 = 4 - 4 = 0.
4.
a) f(10) = 10 / 2 - 6 = 5 - 6 = -1; -1 is the solution.
5.
a) I'll test one after another.
1. f(0) = 2(0) - 3 = 0 - 3 = -3 > g(0) = 3(0) / 2 + 1 = 0 + 1 = 1; this is incorrect.
2. f(2) = 2(2) - 3 = 4 - 3 = 1 = g(2) = 3(2) / 2 + 1 = 6 / 2 + 1 = 3 + 1 = 4; this is incorrect.
3. f(8) = 2(8) - 3 = 16 - 3 = 13 = g(8) = 3(8) / 2 + 1 = 24 / 2 + 1 = 12 + 1 = 13; this is correct.
4. g(4) = 3(4) / 2 + 1 = 12 / 2 + 1 = 6 + 1 = 7 < f(4) = 2(4) - 3 = 8 - 3 = 5; this is incorrect.
Hope this helps :)
Answer:
x = 130°
Step-by-step explanation:
- In a circle, if two tangents intersect outside a circle then the measure of the angle formed is one-half the positive difference of the measures of the intercepted arcs.
- The measure of a circle is 360°
∵ The tangents divide the circle into two arcs
∴ The sum of the measures of the two arcs is 360°
∵ The measure of the smaller arc is x°
- To find the measure of the larger arc subtract x from 360
∴ The measure of the larger arc is (360 - x)°
∵ The two tangents intersected out the circle
∵ They formed an angle of measure 50° between them
- By using the first rule above
∵ The measure of the angle between the two tangents
=
(m larger arc - m smaller arc)
∵ The measure of the angle between the tangents is 50°
∴ 50 =
[(360 - x) - x]
- Multiply both sides by 2
∴ 100 = (360 - x) - x
- Add the like terms in the right hand side
∴ 100 = 360 - 2 x
- Add 2 x to both sides
∴ 2 x + 100 = 360
- Subtract 100 from both sides
∴ 2 x = 260
- divide both sides by 2
∴ x = 130°