Cassie has a serious talk with her father because he tells her that because she is a young African american she must basically be a slave for someone that is white.
Answer:
x = ±2√15
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define</u>
x² = 60
<u>Step 2: Solve for </u><em><u>x</u></em>
- Square root both sides: x = ±√60
- Simplify: x = ±2√15
<u>Step 3: Check</u>
<em>Plug in both solutions of x to verify it's a solution.</em>
x = 2√15
- Substitute: (2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
x = -2√15
- Substitute: (-2√15)² = 60
- Evaluate: 4 · 15 = 60
- Multiply: 60 = 60
Here we see that both solutions do indeed work.
∴ x = ±2√15 are both solutions to the equation.
Step-by-step explanation:
x varies inversely as y. This means that x is equal to the inverse of y which can be translated as x = 1/y but the problem said that x is <u>n</u><u>o</u><u>t</u><u> </u><u>e</u><u>x</u><u>a</u><u>c</u><u>t</u><u>l</u><u>y</u><u> </u><u>e</u><u>q</u><u>u</u><u>a</u><u>l</u><u> </u>to the inverse of y. Therefore, we need to introduce a factor k. Factor k will represent the word "varies" in the problem.
To illustrate:
Since we don't have the value of k, we have to solve for it by using the first values of x and y which was given as x=2 and y=20.
Now that we have the value of k, we can now solve for the value of x when y=5.
Therefore, when y is 5, the value of x is 8.
Marcia can make 51 centerpieces with 4 flowers left over
Answer:
63
Step-by-step explanation:
Use Pythagorean theorem,
base² + altitude² = hypotenuse²
a² + 9² = 12²
a² = 12² - 9²
a² = 144 - 81
a² = 63
a = √63
