Answer:
The solutions are x = 1.24 and x = -3.24
Step-by-step explanation:
Hi there!
First, let´s write the equation:
log[(x² + 2x -3)⁴] = 0
Apply the logarithm property: log(xᵃ) = a log(x)
4 log[(x² + 2x -3)⁴] = 0
Divide by 4 both sides
log(x² + 2x -3) = 0
if log(x² + 2x -3) = 0, then x² + 2x -3 = 1 because only log 1 = 0
x² + 2x -3 = 1
Subtract 1 at both sides of the equation
x² + 2x -4 = 0
Using the quadratic formula let´s solve this quadratic equation:
a = 1
b = 2
c = -4
x = [-b± √(b² - 4ac)]/2a
x = [-2 + √(4 - 4(-4)·1)]/2 = 1.24
and
x = [-2 - √(4 - 4(-4)·1)]/2 = -3.24
The solutions are x = 1.24 and x = -3.24
Have a nice day!
Answer: 11, 45, 45, 54, 520
Answer:
Volume of tennis ball = 11.49 inch³
Step-by-step explanation:
Given:
Radius of tennis ball = 1.4 inches
Value of π = 3.14
Find:
Volume of tennis ball
Computation:
Volume of sphere = [4/3][π][r]³
Volume of tennis ball = [4/3][π][Radius of tennis ball]³
Volume of tennis ball = [4/3][3.14][1.4]³
Volume of tennis ball = [1.333][3.14][1.4]³
Volume of tennis ball = [1.333][3.14][2.744]
Volume of tennis ball = [4.1856][2.744]
Volume of tennis ball = 11.4852
Volume of tennis ball = 11.49 inch³
Divide 5 by 89 and you get a=17.8
Answer:
Option A. A and D
Step-by-step explanation:
This answer because they are both right triangles and are near the same size
Hope this helps!
