NC Math 4 Final Exam REVIEW
Flashcard
•
Mathematics
•
11th - 12th Grade
•
Practice Problem
•
Hard
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15 questions
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1.
FLASHCARD QUESTION
Front
Find the length of side AC in a triangle where the other sides are known.
Back
Use the Pythagorean theorem if it's a right triangle: a^2 + b^2 = c^2, where c is the hypotenuse.
2.
FLASHCARD QUESTION
Front
What is the relationship between radians and degrees?
Back
To convert radians to degrees, use the formula: degrees = radians × (180/π).
3.
FLASHCARD QUESTION
Front
Given g(a) = 4a + 1 and h(a) = -3a + 2, how do you find g(h(1))?
Back
First, calculate h(1) = -3(1) + 2 = -1. Then, substitute -1 into g: g(-1) = 4(-1) + 1 = -3.
4.
FLASHCARD QUESTION
Front
What does the logarithmic equation ln(x) = 4 represent in exponential form?
Back
The equivalent exponential form is x = e^4.
5.
FLASHCARD QUESTION
Front
How do you simplify the expression (10 + 15i) - (48 - 30i)?
Back
Combine like terms: (10 - 48) + (15i + 30i) = -38 + 45i.
6.
FLASHCARD QUESTION
Front
What is the formula for the area of a circle?
Back
Area = πr^2, where r is the radius.
7.
FLASHCARD QUESTION
Front
How do you find the slope of a line given two points (x1, y1) and (x2, y2)?
Back
Slope (m) = (y2 - y1) / (x2 - x1).
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