Divide the numerator of the fraction by the denominator. the first two digits of the decimal is the percentage
Answer:
5 units
Step-by-step explanation:
Given:-
- The area of the circle was computed to be A = 78.5
- The value of π is estimated to be = 3.14
Find:-
What is the radius of the circle?
Solution:-
- The area of a circle (A) with radius ( r ) is computed by the following formula:
A = π*r^2
- Divide the equation by π :
r^2 = ( A / π )
- Take the square root of the entire equation:
r = √ ( A / π )
- Substitute the given values:
r = √ ( 78.5 / 3.14 )
- Resolve the fraction:
r = √25
- The perfect square root of 25
r = 5
Answer: The radius of the circle is r = 5 units
Equation: SOLVE
Solution for 10=4(x-1)-(x-8) equation:
Simplifying
10 = 4(x + -1) + -1(x + -8)
Reorder the terms:
10 = 4(-1 + x) + -1(x + -8)
10 = (-1 * 4 + x * 4) + -1(x + -8)
10 = (-4 + 4x) + -1(x + -8)
Reorder the terms:
10 = -4 + 4x + -1(-8 + x)
10 = -4 + 4x + (-8 * -1 + x * -1)
10 = -4 + 4x + (8 + -1x)
Reorder the terms:
10 = -4 + 8 + 4x + -1x
Combine like terms: -4 + 8 = 4
10 = 4 + 4x + -1x
Combine like terms: 4x + -1x = 3x
10 = 4 + 3x
Solving
10 = 4 + 3x
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-3x' to each side of the equation.
10 + -3x = 4 + 3x + -3x
Combine like terms: 3x + -3x = 0
10 + -3x = 4 + 0
10 + -3x = 4
Add '-10' to each side of the equation.
10 + -10 + -3x = 4 + -10
Combine like terms: 10 + -10 = 0
0 + -3x = 4 + -10
-3x = 4 + -10
Combine like terms: 4 + -10 = -6
-3x = -6
Divide each side by '-3'.
x = 2
Simplifying
x = 2
Hello!
To find the y-values of the given ordered pairs, substitute the x-values into the equation, y = log₂ x.
y = log₂ 1/2, y = -1
y = log₂ 1, y = 0
y = log₂ 2, y = 1
y = log₂ 4, y = 2
y = log₂ 8, y = 3
y = log₂ 16, y = 4
Therefore, the ordered pairs of y = log₂ x is: {(1/2, -1), (1, 0), (2, 1), (4, 2), (8, 3), (16, 4)}.
The answer is a, c, and e
