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
Answer:
h = 3.75
Step-by-step explanation:
Step 1: Write equation
2.5/6 = h/9
Step 2: Solve for <em>h</em>
- Cross multiply: 22.5 = 6h
- Divide both sides by 6: 3.75 = h
- Rewrite: h = 3.75
Step 3: Check
<em>Plug in h to verify it's a solution.</em>
2.5/6 = 3.75/9
0.416667 = 0.416667
The number of intersections is the number of solutions
we can see they are paralell so they will never intersect
0
C is the answer
<span>answer under the link: http: //briskrange.com/7gAl
</span>
Answer: The two equations are:
y = 5x + 40
y = 3x + 60
In each problem, you are given the cost per ride. That is the slope, it goes in front of the x.
Then, you are also given the entry fee. That is the y-intercept, it goes at the end of the equation.
Now, the equations are in slope intercept form. Y = MX + B
Graphing the equations will give an answer of (10, 90)
This means for both plans 10 rides will cost $90.
