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Answer:
(-1, 1)
General Formulas and Concepts:
<u>Pre-Algebra</u>
- Order of Operations: BPEMDAS
- Equality Properties
<u>Algebra I</u>
- Solving systems of equations by substitution/elimination
Step-by-step explanation:
<u>Step 1: Define systems</u>
y = 3x + 4
y = x + 2
<u>Step 2: Solve for </u><em><u>x</u></em>
- Substitute: 3x + 4 = x + 2
- Subtract <em>x</em> on both sides: 2x + 4 = 2
- Subtract 4 on both sides: 2x = -2
- Divide both sides by 2: x = -1
<u>Step 3: Solve for </u><em><u>y</u></em>
- Define: y = x + 2
- Substitute: y = -1 + 2
- Add: y = 1
And we have our answer!
Estimate this product first. 7 times 2 would be 14; 7 times 3 would be 21. So the actual product must be about halfway between 14 and 21, or 17.5.
The actual product 7*2.6 comes out to 18.2 (which is fairly close to 17.5, but not close at all to 14).
Answer:
36 - 9pi
Step-by-step explanation:
Shaded part = Area of square - Area of white part
= 6^2 - (1/4)*pi*6^2 [Since, the white part is one-fourth of a circle with radius 6 units]
= 36 - 9pi
