Answer:
B
Step-by-step explanation:
The distance between point x and y
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!
5.1/sin 60 = b/sin 80
cross multiply
b Sin 60 = 5.1 Sin 80
Divide both sides by Sin 60
b = 5.80
Answer:
-1 1/3
Step-by-step explanation:
R = 10, T = 20
OK. Calculate the length of segment RT:
|RT| = |20 - 10| = |10| = 10
Divide |RT| into a ratio of 2:3
2 + 3 = 5
10 : 5 = 2
Therefore we have
|RS| = 2 · 2 = 4 and |ST| = 3 · 2 = 6 (4 + 6 = 10 CORRECT)
T = R + 4 and T = T - 6
T = 10 + 4 = 14; T = 20 - 6 = 14 CORRECT
<h3>Your answer is T = 14.</h3>
