Answer:
Step-by-step explanation:
Break the expression into individual pieces
24 can be written as (4)(6)
x^6 can be written as (x^3)^2
y^9 can be written as (y^4)^2(y)
Notice in the variables the focus on writing to the power of 2.
Square root and power of 2 are essentially inverse operations of each other, so they cancel each other out.
The square root of 4 is 2
The square root of (x^3)^2 is x^3
The square root of (y^4)^2 is y^4
The remaining 6 and y stay underneath the square root.
The final answer is then (2x^3y^4)(square root 6y)
The measure of arc AC is 40°
Step-by-step explanation:
In any circle the measure of an inscribed angle is one-half the measure of its subtended arc
In circle O
∵ ∠BAC is an inscribed angle subtended by arc BC
∴ m∠BAC = m arc BC
∵ m∠BAC = 70°
- Substitute it in the the expression above
∴ 70 = m arc BC
- Multiply both sides by 2
∴ 140 = m arc BC
∴ The measure of arc BC is 140°
∵ AB is a diameter
- The diameter divides the circle into two equal arcs
∴ m of arc ACB = measure of the circle
- The measure of the circle is 360°
∴ m of arc ACB = (360°)
∴ m of arc ACB = 180°
∵ m arc BC + m arc AC = m arc ACB
∴ 140° + m arc AC = 180°
- Subtract 140 from both sides
∴ m arc AC = 40°
The measure of arc AC is 40°
90. This is because a whole term is 360 degrees. So divide it by 4 to get the answer of a quarter term. Same goes for half term, dived 360 by 2 to get 180 degrees.
Answer:
A
Step-by-step explanation:
Out of 8 2 are shaded in which is the closest to 25 the smallest one shaded in
15x plus 7
This is because you just simplify the like terms