<h3>
Answer: Choice A</h3>
Side = 5 ft, side = 15 ft, side = 3 ft
Explanation:
The two sides 5 ft and 3 ft add to 5+3 = 8 ft which is not larger than the 15 ft side. This is exactly why a triangle is not possible here.
If we want a triangle to happen, then adding any two sides must be larger than the third side.
If we want a triangle with sides a,b,c, then we need the following to be true
Refer to the triangle inequality theorem for more information.
Answer:
16 mph
Step-by-step explanation:
Givens:
4 hours total time
48 miles total distance
So our equation should look like this.
48 = 2x(2) + x(2)
Where x = speed second half of trip.
x = 8
x*2 = 16 mph
Step-by-step explanation:
V = 4/3 × 22/7 × 3³
= 4/3 × 22/7 × 27
= 113.14
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:
21
Step-by-step explanation:
3/(x-3) = 8/(2x+6)
or, 3(2x+6) = 8(x-3) ( by cross multiplication)
or, 6x + 18 = 8x - 24
or, 8x - 6x = 24 + 18
or, 2x = 42
or, x = 42/2
=21
