Step-by-step explanation: To solve this absolute value inequality,
our goal is to get the absolute value by itself on one side of the inequality.
So start by adding 2 to both sides and we have 4|x + 5| ≤ 12.
Now divide both sides by 3 and we have |x + 5| ≤ 3.
Now the the absolute value is isolated, we can split this up.
The first inequality will look exactly like the one
we have right now except for the absolute value.
For the second one, we flip the sign and change the 3 to a negative.
So we have x + 5 ≤ 3 or x + 5 ≥ -3.
Solving each inequality from here, we have x ≤ -2 or x ≥ -8.
Answer:
The answer is 5/4 in fraction form and 1.25 decimal form
A: When you multiply two numbers, their exponents add.
So,

Since 64^1/2 multiplied by itself is 64, then it is the square root of 64.
B: The area is irrational. 7 * √7 is irrational.
The length of PR is 4.4 units.
Explanation:
It is given that the length of the hypotenuse is 10 units.
Also, the angle of R is 64°
To find the length of PR, we shall use the cosine formula,

Here,
, adj = PR and hyp = 10
Substituting these values in the formula, we get,

Multiplying both sides by 10, we get,

Substituting the value for cos 64, we get,

Multiplying, we have,

Rounding off, we get,

Thus, the length of PR is 4.4 units.
Answer:
5/12
Step-by-step explanation:
count the vowels: mAthEmAtIcAl --> a,e,a,i,a: 5
count the letters: 12
-->probability 5/12