Answer:
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] SOHCAHTOA
- [Right Triangles Only] cosθ = adjacent over hypotenuse<u>
</u>
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = <em>x</em>
Adjacent Leg = 5.8
Hypotenuse = 7.3
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute in variables [Cosine]:
- [Fraction] Divide:
- [Equality Property] Trig inverse:
- Evaluate trig inverse:
- Round:
Answer:
y=4
x=-3
Step-by-step explanation:
4(-3)-9y=-48
-12-9y=-48
-9y=-36
y=4
x=-3
1.) 3p
2. -b+3
3. 6x
4. -3p
5. -4v
6. r
7. 9-4r
8. 4b+2
9. 14n
10. 4b+2
11. 35n+45
12. -82v
13. 38n
14. 38x
<span>So we have a problem with two unknows and one equation. We have to express one over the other like this: 7a - 2b = 5a + b. First we separate one kind on the left side and the other kind on the right side: 7a - 5a = b + 2b. Then: 2a = 3b. Now we divide both sides by 2 and get: a= 3b/2.</span>