Answer:
x = 4√5
General Formulas and Concepts:
<u>Pre-Algebra</u>
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- Subtraction
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality<u>
</u>
<u>Trigonometry</u>
[Right Triangles Only] Pythagorean Theorem: a² + b² = c²
- a is a leg
- b is another leg
- c is the hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Leg <em>a</em> = 8
Leg <em>b</em> = 4
Hypotenuse <em>c</em> = <em>x</em>
<em />
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Pythagorean Theorem]: 8² + 4² = x²
- Evaluate exponents: 64 + 16 = x²
- Add: 80 = x²
- [Equality Property] Square root both sides: √80 = x
- Rewrite: x = √80
- Simplify: x = 4√5
Ok -7-7=-14 because your subtracting a negative with a negative and then it will be a negative then if you multiply a negative and a negative it will be a positive
Answer:
2.84
Step-by-step explanation:
Recognize that 252 = 7*36
and so:
log base 7 of 252 = log base 7 of 36 + log base 7 of 7, or
log base 7 of 36 + 1
So the most you can simplify log base 7 of 252 is to write 1 + log base 7 of 36.
Or, if you want to use the change of base formula, you could do the following:
log 36
log base 7 of 36 = -------------- = 1.84
log 7
and so log base 7 of 252 would come out to
1 + log base 7 of 36 = 1 + 1.84 = 2.84
Check: does 7^2.84 = 252? YES. So we know that:
1 + log base 7 of 36 = 2.84
Answer:
36 and 27
Step-by-step explanation:
4+3=7
63/7=9
9x4=36
9x3=27
