Answer:

Step-by-step explanation:
Given

Required
Values of x that make it true
First: solve the inequality.

Collect Like Terms


Multiply both sides by -1

--- The inequality changes when multiplied by a negative value
So, the solution implies that the value of x is greater than 5 (i.e. 6, 7, 8..)
Hence, the set is:

Answer:
Yes, the sides form a right triangle.
Step-by-step explanation:
<u>Pythagorean Theorem:</u>
a² + b² = c²
↓
20² + 21² = 29²
║a² = 20² = 400
║b² = 21² = 441
║c² = 29² = 841
↓
400 + 441 = 841
║This equation is true.
↓
Yes, the sides form a right triangle.
Answer:
At the moment it is thrown, the height of the ball is 12 meters
Step-by-step explanation:
If the function
models the height of the ball x seconds after it is thrown, then by this same function we can know the initial height of the ball at the initial moment.
If we represent the initial time instant as x = 0, then by doing h (0) we will get the initial height, just when the ball is thrown.
h (0) = 12 meters.
At the moment it is thrown, the height of the ball is 12 meters
Answer:
it's 84
Step-by-step explanation:
I (did) the math for you
(look it up)
There are a couple ways to determine the number of minutes it will take Charlie to run 9 laps, but the easist would be to find out what is happening to each number of laps in order to get the number of minutes. In each case, the number of laps is being multiplied by 5 to get the number of minutes.
9x5=45 minutes.
He is running each lap in 5 minutes.