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Krystyna F.

Chemical engineering major with 3 years of bio-focused research experience.

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Pre-Calculus

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Question:

A line has a slope of -4/3 and an intercept at (0,5). Write the equation of the line in slope-intercept form.

Krystyna F.

Answer:

Slope-intercept form is the following: y=mx + b, where m is the slope, b is the y-intercept and x, and y are outputted dependent on the equation. Using these values, the correct answer, in this case, is y = -(4/3)x+5.

Trigonometry

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Question:

Right triangle A has side lengths of 5 and 6. What is the length of the hypotenuse?

Krystyna F.

Answer:

To solve this problem, we need to use the Pythagorean theorem. The theorem states that sides a^2+b^2 are equal to the hypotenuse, c^2. Solving for the length of a hypotenuse, c, the equation becomes (a^2+b^2)^(1/2) = c. Plugging in the relevant lengths, c = 61^(1/2) also known as "radical 61" or "square root of 61." Because 61 is a prime number, the radical may not be broken down into smaller radicals.

Basic Math

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Question:

You've won 53 tokens at the arcade. Bobby says he has three times as many tokens as you. How many tokens does Bobby have?

Krystyna F.

Answer:

The correct answer is 159 tokens. Bobby has three times as many tokens, which means the calculation should look like: 53 x 3. To solve this equation, we first multiply 3x3 for the one's place and then 5x3 for the tens and hundreds of places. This means the product is then 159 tokens.

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