Answer:
x = 7
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Geometry</u>
- All angles in a triangle add up to 180°
Step-by-step explanation:
<u>Step 1: Set up Equation</u>
<em>Every angle must add up to 180°.</em>
(6x - 6)° + 54° + 90° = 180°
<u>Step 2: Solve for </u><em><u>x</u></em>
- Combine like terms: 6x + 138 = 180
- Isolate <em>x</em> term: 6x = 42
- Isolate <em>x</em>: x = 7
Answer:
(x+5)²-10x²
Step-by-step explanation:
USing the completing square method
x² +25
= (x)² +2(x)(5) +(5)² -10x²
=(x+5)²-10x²
Answer:
(20+75)/6 < (20+75)/2 < (20+75) × 3 < (20+75) × 4
Step-by-step explanation:
just solve each problem and compare the values.
Set the radicand in
√
x
−
5
x
-
5
greater than or equal to
0
0
to find where the expression is defined.
x
−
5
≥
0
x
-
5
≥
0
Add
5
5
to both sides of the inequality.
x
≥
5
x
≥
5
The domain is all values of
x
x
that make the expression defined.
Interval Notation:
[
5
,
∞
)
[
5
,
∞
)
Set-Builder Notation:
{
x
|
x
≥
5
}
{
x
|
x
≥
5
}
The range of an even indexed radical starts at its starting point
(
5
,
0
)
(
5
,
0
)
and extends to infinity.
Interval Notation:
[
0
,
∞
)
[
0
,
∞
)
Set-Builder Notation:
{
y
|
y
≥
0
}
{
y
|
y
≥
0
}
Determine the domain and range.
Answer:
B
Step-by-step explanation:
