Answer:
x = √53
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
<u>Trigonometry</u>
- [Right Triangles Only] Pythagorean Theorem: a² + b² = c²
Step-by-step explanation:
<u>Step 1: Define</u>
We are given a right triangle. We can use PT to solve for the missing length.
<u>Step 2: Identify Variables</u>
Leg <em>a</em> = 6
Leg <em>b</em> = <em>x</em>
Hypotenuse <em>c</em> = √89
<u>Step 3: Solve for </u><em><u>x</u></em>
- Set up equation: 6² + x² = (√89)²
- Isolate <em>x</em> term: x² = (√89)² - 6²
- Exponents: x² = 89 - 36
- Subtract: x² = 53
- Isolate <em>x</em>: x = √53
Answer:
612 feet
Step-by-step explanation:
LA is located at 330 feet ABOVE SEA LEVEL
Death Valley is located 282 feet BELOW SEA LEVEL
We let the sea level be at 0 (consider a number line).
So,
LA would be at +330 feet
and
Death Valley would be at -282 feet
The elevation change between the two would be the difference:
330 - (-282) = 330 + 282 = 612 feet
The difference in elevation = 612 feet
90-n=3n hope this helps you
Answer:
Step-by-step explanation:
Part A:
-mk-120 > 95
-mk > 215
Divide both sides by -k
Since we are dividing by a negative, the inequality sign flips
m < 215/-k
Part B:
2c-9fb = 45
Subtract 2c from both sides
-9fb = 45-2c
Divide both sides by -9b
f = (45-2c) / -9b
Please let me know if this helps :)!
Answer:
-18 b^-4= -18/b^4
Step-by-step explanation:
-3b^4(6b^-8)
Combine coefficients
-3*6 = -18
Combine exponents since the bases are the same, x^y * x^z = x^(x+z)
b^4 *b^ -8
b^(4+-8)
b^ -4
Put back together
-18 b^-4
We also know that x^-y = 1/x^y
-18/b^4
