1. -10/9
2. 2/5
3. -2/5
4. 3/5
5. 1/10
6. -10/3
Answer:

Step-by-step explanation:
Given: Perimeter of triangle= 72 units
Measure of one of the side= x units
Measure of second side = 3x units
We know the perimeter of triangle is equal to sum of all sides.
Now, finding the possible value of x
forming an inequality to determine the value of x
Remember triangle has three sides, however, measure of only two sides are given.
⇒ 
⇒ 
Dividing both side by 4
⇒ 
∴ The inequality to represents all possible values of x is 
LORAN follows an hyperbolic path.
The equation of the hyperbola is: 
The coordinates are given as:

The center of the hyperbola is

The distance from the center to the focal points is given as:

Square both sides

The distance from the receiver to the transmitters is given as:

Divide both sides by 2

Square both sides

We have:

This gives

The equation of an hyperbola is:

So, we have:


Hence, the equation of the hyperbola is: 
Read more about hyperbolas at:
brainly.com/question/15697124
Answer:
0.03593
Step-by-step explanation:
We solve using z score formula
z = (x-μ)/σ, where
x is the raw score = 17,340
μ is the population mean = 15,000
σ is the population standard deviation = 1300
z score:
z = 17340 - 15000/1300
z =1.8
Probability value from Z-Table:
P(x<17340) = 0.96407
P(x >17340) = 1 - P(x<17340)
= 1 - 0.96407
= 0.03593
The probability that the life span of the monitor will be more than 17,340 hours is 0.03593
Answer:
(−x, y)(x−4, y+2)
Step-by-step explanation:
If the figure is to be congruent, there must be no dilation. Any transformation having a multiplier on x or y cannot be a solution.
The only remaining choice is the one shown above, which involves a reflection across the y-axis and a translation.