math

studdyyyyyyy

What is the formula for the volume of a rectangular prism?

The formula for the volume of a rectangular prism is $V = l \times w \times h$ where $l$ is length, $w$ is width, and $h$ is height.

What is an angle?

An angle is formed by two rays (the sides of the angle) that share a common endpoint (the vertex of the angle).

What are complementary angles?

Complementary angles are two angles whose measures add up to $90^\text{o}$.

What are supplementary angles?

Supplementary angles are two angles whose measures add up to $180^\text{o}$.

What is the formula to find the volume of a cylinder?

The formula for the volume of a cylinder is $V = \text{Base Area} \times h$ or $V = \beta \times h$ where $\beta = \text{Area of the base}$.

What is a right angle?

A right angle is an angle that measures exactly $90^\text{o}$.

What is the Pythagorean Theorem?

The Pythagorean Theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides, expressed as $a^2 + b^2 = c^2$.

What is the formula to find the slope of a line?

The slope (m) of a line is calculated using the formula $m = \frac{y_2 - y_1}{x_2 - x_1}$ where $(x_1, y_1)$ and $(x_2, y_2)$ are two points on the line.

How do you find the y-intercept of a line?

To find the y-intercept of a line, set $x = 0$ in the equation of the line and solve for $y$. The y-intercept is the point where the line crosses the y-axis.

How do you find the x-intercept of a line?

To find the x-intercept of a line, set $y = 0$ in the equation of the line and solve for $x$. The x-intercept is the point where the line crosses the x-axis.

What does it mean if the slope of a line is a fraction?

If the slope of a line is a fraction, it represents the ratio of the vertical change (rise) to the horizontal change (run). For example, a slope of $\frac{2}{3}$ means for every 3 units you move horizontally, you move 2 units vertically.

What does a positive slope indicate?

A positive slope indicates that as $x$ increases, $y$ also increases, meaning the line rises from left to right.

What does a negative slope indicate?

A negative slope indicates that as $x$ increases, $y$ decreases, meaning the line falls from left to right.

What is the slope-intercept form of a linear equation?

The slope-intercept form of a linear equation is $y = mx + b$ where $m$ is the slope and $b$ is the y-intercept.