Number eight is congruent
Take 1/2 of b and squaer it so
(b/2)^2 would complete the square
(sign doesn't matter becaus when squareing, sign goes positive)
First we will do -3 times everything in the parenthesis.
-3 times -4n = 12n
-3 times 30 = -90
SO,
12n - 90 = -30
+90 +90
12n = 60
divide 12 on both sides;
n = 5
This is your answer,
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Answer:
x = -1.5
General Formulas and Concepts:
<u>Pre-Alg</u>
- Order of Operations: BPEMDAS
- Equality Properties
Step-by-step explanation:
<u>Step 1: Define equation</u>
0.2x + 1 = 1.6x + 3.1
<u>Step 2: Solve for </u><em><u>x</u></em>
- Subtract 0.2x on both sides: 1 = 1.4x + 3.1
- Subtract 3.1 on both sides: -2.1 = 1.4x
- Divide both sides by 1.4: -1.5 = x
- Rewrite: x = -1.5
<u>Step 3: Check</u>
<em>Plug in x to verify it's a solution.</em>
- Substitution: 0.2(-1.5) + 1 = 1.6(-1.5) + 3.1
- Multiply: -0.3 + 1 = -2.4 + 3.1
- Add: 0.7 = 0.7