Answer:
(3, 2)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations using substitution/elimination
- Solving systems of equations by graphing
Step-by-step explanation:
<u>Step 1: Define systems</u>
-3x + 10y = 11
-8x + 2y = -20
<u>Step 2: Rewrite systems</u>
-8x + 2y = -20
- Add 8x to both sides: 2y = 8x - 20
- Divide 2 on both sides: y = 4x - 10
<u>Step 3: Redefine systems</u>
-3x + 10y = 11
y = 4x - 10
<u>Step 4: Solve for </u><em><u>x</u></em>
<em>Substitution</em>
- Substitute in <em>y</em>: -3x + 10(4x - 10) = 11
- Distribute 10: -3x + 40x - 100 = 11
- Combine like terms: 37x - 100 = 11
- Add 100 to both sides: 37x = 111
- Divide 37 on both sides: x = 3
<u>Step 5: Solve for </u><em><u>y</u></em>
- Define original equation: -3x + 10y = 11
- Substitute in <em>x</em>: -3(3) + 10y = 11
- Multiply: -9 + 10y = 11
- Add 9 to both sides: 10y = 20
- Divide 10 on both sides: y = 2
<u>Step 6: Graph system</u>
<em>Check the system</em>.
Area of a circle is given by
where
is the radius
Radius of a circle is half of the diameter
We have the diameter 30 meters, so the radius is 30÷2=15 meters
Area of the circle = Note: The option given doesn't show the
symbol but it seems like the correct answer is option A
Answer:
Connotation refers to the emotions or ideas that you think of when you read or hear a word
Dennotation means the literal meaning
Step-by-step explanation:
Answer: 3 is the median
Step-by-step explanation: You arrange the numbers from least to greatest, which ever number is in the middle is the median. So: 2, 3, 3, 3, 5, 6, 7, 10
3 is in the middle so that's the answer.
The answer selected in the Picture is correct