A line has a slope of -4/3 and an intercept at (0,5). Write the equation of the line in slope-intercept form.
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.
Right triangle A has side lengths of 5 and 6. What is the length of the hypotenuse?
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.
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?
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.