Answer:
y = -x/3 + 6
General Formulas and Concepts:
<u>Pre-Algebra</u>
<u>Algebra I</u>
Standard Form: Ax + By = C
Slope-Intercept Form: y = mx + b
- m - slope
- b - y-intercept
Step-by-step explanation:
<u>Step 1: Define</u>
Standard Form: x + 3y = 18
<u>Step 2: Rewrite</u>
<em>Find slope-intercept form</em>
- Subtract <em>x</em> on both sides: 3y = -x + 18
- Divide 3 on both sides: y = -x/3 + 6
<h3>
Answer: 4</h3>
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Rule:
If A+B = 90, then tan(A) = 1/( tan(B) ) and tan(B) = 1/( tan(A) )
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Since C = 90, this must mean the other two angles A and B are acute and complementary. So A+B = 90 must be the case. This allows us to use that rule above.
So,
tan(B) = 1/( tan(A) )
tan(B) = 1/( 0.25 )
tan(B) = 4
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Here's another way to think about it.
If tan(A) = 0.25, then we could have BC = 1 and AC = 4 as the opposite and adjacent sides respectively. That leads to tan(A) = opposite/adjacent = BC/AC = 1/4 = 0.25
When computing tan(B), the BC and AC sides swap roles in terms of opposite and adjacent,
tan(B) = opposite/adjacent = AC/BC = 4/1 = 4.
For any of these cases, we don't involve the hypotenuse AB.
Answer:
improper fraction
Step-by-step explanation:
Answer:
x = 6 and -6
Step-by-step explanation:
x²-36 = 0
isolating x
x²-36+36 = 0+36
x²=36
√x² = √36
x = ±6