Answer:
C) x ≥ 11 or x ≤ -3
Explanation:
Given following: |x − 4| ≥ 7
Apply absolute rule: If |u| ≥ 0 then u ≤ -a, u ≥ a
Solving stepwise:
⇒ x - 4 ≤ -7, x - 4 ≥ 7
<u>change sides</u>
⇒ x ≤ -7 + 4, x ≥ 7 + 4
<u>add/subtract integers</u>
⇒ x ≤ -3, x ≥ 11
Answer:
[ 0 ]
Step-by-step explanation:
The order of the matrix [ 3 1 1 ] is 1 by 3 and the order of the other matrix is 3 by 1 so this means that the order of the answer matrix is 1 by 1. So we multiply matrices row by columns.
[ 3 1 1 ] × | 2|
| -6|
| 0|
[ 3 × 2 + 1 × -6 + 1 × 0 ]
[ 6 - 6 + 0 ]
[ 0 ]
Answer:
x = 105°
General Formulas and Concepts:
<u>Geometry</u>
Step-by-step explanation:
If the 2 lines are parallel, which they are, we can use specific theorems to help us solve for different angles.
Here, we see that we will use the Corresponding Angles Theorem. According the the theorem, this will allow us to find our value for <em>x</em>.
Answer:
0.67 feet
Step-by-step explanation:
This question can be interpreted as find the 11th term of a geometry progression where a = 6.25 and r = 80%
So, we have:
In this case:
So, we have:
Hence, the height of rebound at the 11th time is approximately 0.67
