devyy To find the answer to the question, we first need to perform the multiplication. The calculation begins with: Step 1: Multiply 2 by 2. This gives us: 2 × 2 = 4 Step 2: Next, we take the result and multiply it by 14: 4 × 14 = 56 Now, we have the result of … Read more
The graph of the function y = 4x² is a parabola that opens upwards. When we focus on the interval from 0 to 3, several key characteristics emerge that define its shape and behavior. Y-Intercept First, at x = 0, the value of y is 0. Therefore, the graph begins from the point (0, 0). … Read more
To find the expression equivalent to k * hx, we first need to substitute the given values for hx and k. We are provided: hx = 5x k = 1x Now, we can substitute these values into the expression: k * hx = (1x) * (5x) When we multiply these expressions, we can apply the … Read more
When evaluating the expression 2 + 6 * 2, it’s important to remember the order of operations, often abbreviated as PEMDAS (Parentheses, Exponents, Multiplication and Division (from left to right), Addition and Subtraction (from left to right)). According to this rule, multiplication should be performed before addition. Here’s how you would break it down step … Read more
If the jogging track is one mile long, we can calculate how far Ashley ran by simply multiplying the distance of the track by the number of times she jogged around it. In this case, Ashley jogged around the track 4 times. So, the calculation goes as follows: Distance = Length of Track × Number … Read more
The equation given, 3x – 8 = 025x, can be interpreted as needing to identify the points where the values of 3x – 8 and 025x intersect on a graph.Those points correspond to the solutions of the equation.To approach this, we can rearrange the equation: 1. First, we will rewrite 025x simply as 25x for … Read more
To find the equation of the line perpendicular to the tangent line of the curve defined by y = x³ + 4x + 1 at the point (2, 1), we will follow these steps: Calculate the derivative of the curve: The first step is to find the derivative of the function to determine the slope … Read more
To convert the function f(x) = 2(x – 12)^2 + 3 from vertex form to standard form, we will follow a few simple algebraic steps. Vertex form of a quadratic function is expressed as: f(x) = a(x – h)^2 + k where (h, k) is the vertex of the parabola. In this case, our vertex … Read more
Finding the Value of x and Measuring Exterior Angles in Triangles To determine the value of ‘x’ in a triangle, we typically start by understanding the relationships between the angles and sides based on the triangle’s properties. Here’s a general approach to solving this kind of problem: Step 1: Understanding Triangle Angles In any triangle, … Read more
To find the orthogonal projection of vector a onto vector b, we follow a systematic approach using vector algebra. The vectors given are: a = (3, 12) b = (6, 9) 1. **Calculate the dot product of a and b**: The dot product (denoted as a · b) is calculated as: a · b = … Read more