80 miles per hour how long to go 80 miles
To determine how long it takes to travel 80 miles at a speed of 80 miles per hour, we can use the formula: Time = Distance / Speed Here, the distance is 80 miles and the speed is 80 miles per hour. Plugging in these values, we get: Time = 80 miles / 80 miles […]
What is the slope of the line y = 3?
The slope of the line represented by the equation y = 3 is undefined. To explain this further, a slope describes how steep a line is and is calculated using the formula m = (y2 – y1) / (x2 – x1). In the case of the line y = 3, the value of y is […]
What is the equation of the graphed line written in standard form 2x + 3y = 6?
The equation of the graphed line is already in standard form, which is represented as Ax + By = C. In this case, the equation given is: 2x + 3y = 6 To understand this better, let’s break it down: A (the coefficient of x) is 2. B (the coefficient of y) is 3. C […]
What is 21 8 as a mixed number?
To convert the improper fraction 21/8 into a mixed number, we first divide the numerator (21) by the denominator (8). When we divide 21 by 8, we find that 8 fits into 21 two times (2 x 8 = 16). The remainder from this division process is 21 – 16 = 5. Now we can […]
Find the first two derivatives of 2 sinx cosx
To find the first two derivatives of the function y = 2 sin(x) cos(x), we can start by using a trigonometric identity to simplify our work. We know from the double angle identity that: sin(2x) = 2 sin(x) cos(x) This means we can rewrite our function as: y = sin(2x) Now that we have simplified […]
3 x 4 is the same as 4 x 3. This is an example of which algebraic property?
The statement that 3 x 4 is the same as 4 x 3 exemplifies the Commutative Property of Multiplication. This property states that the order in which two numbers are multiplied does not affect the product. In other words, if you switch the numbers around, the result remains the same. For example, when calculating 3 […]
What is the value of x from the below figure 3 4 6 8?
To find the value of x from the numbers 3, 4, 6, and 8, we first need to examine the relationship between these numbers. If they are part of a sequence or a mathematical pattern, identifying that can lead us to the value of x. Let’s look at the given numbers: 3, 4, 6, and […]
Use the Graph to Determine Open Intervals on Which the Function is Increasing
To determine the open intervals where a function is increasing, you need to analyze the graph of the function. An increasing function is characterized by slopes that rise as you move from left to right. This means that for any two points within the interval, the function’s value at the higher x-value will be greater […]
Find the slope and y-intercept of a line given its equation in the form ax + by = c
To find the slope and y-intercept of a line given its equation in the standard form ax + by = c, we need to rewrite the equation in the slope-intercept form, which is y = mx + b. In this format, m represents the slope, and b represents the y-intercept. Here are the steps to […]
What is the base of a triangle?
The base of a triangle refers to one of its sides, typically the side on which the triangle is considered to be standing. In most cases, the base is the side that is considered horizontal and it is often used in calculations related to the area of the triangle. To find the area of a […]