devyy To find the solution to the system of equations, we need to set the two equations equal to each other since both equal y: 1. The first equation is: y = 4x + 10 2. The second equation is: y = 2x + 6 Setting them equal: 4x + 10 = 2x + 6 Now, … Read more
To find the value of x in the equation 2x + 3y = 36 when y = 6, we can follow these steps: Start by substituting the value of y into the equation. Since y = 6, we replace y in the equation: 2x + 3(6) = 36 Now, calculate 3(6): 3 * 6 = … Read more
To find the probability of getting one head and one tail when tossing two coins, we will start by determining the possible outcomes. When tossing two coins, each coin has two possible outcomes: heads (H) or tails (T). The combinations of outcomes when tossing both coins can be listed as follows: HH (both coins show … Read more
To determine the value of x in an equation, you need to isolate x on one side of the equation. Let’s go through a step-by-step approach using a simple example equation: Suppose you have the equation: 2x + 5 = 15 Here’s how you can solve for x: Step 1: Subtract 5 from both sides. … Read more
The axis of symmetry for a quadratic function can be determined using the formula: x = -b / (2a) In the function f(x) = x² + 9x + 21, the coefficients are: a = 1 b = 9 c = 21 Plugging the values of a and b into the axis of symmetry formula: x … Read more
To find the length of the diagonal of a rectangle, we can use the Pythagorean theorem. The lengths of the sides of the rectangle are the two legs of a right triangle, and the diagonal is the hypotenuse. In our case, the lengths of the sides are: Side 1 (length) = 5 cm Side 2 … Read more
The general form of a parabola that opens upwards can be given as x² = 4py, where p denotes the distance from the vertex of the parabola to the focus. In this equation, if we want to determine the value of p for the equation x² = 12y, we need to align it with the … Read more
To find the composite function fg(x) where f(x) = 9x² and g(x) = x³, we first need to understand what composite functions are. A composite function means that we take the output of one function and use it as the input for another function. In this case, fg(x) means we want to calculate f(g(x)). So, … Read more
To find the exact values of the trigonometric functions for the angle whose terminal side passes through the point P(9, 12), we will use the definitions of sine, cosine, and tangent based on the coordinates of the point. First, we need to calculate the radial distance (r) from the origin to the point P(9, 12). … Read more
The greatest common factor (GCF) is the largest expression that divides two or more expressions without leaving a remainder. To find the GCF of the expressions 4xy² and 20x²y⁴, we can follow these steps: Factor each term: For 4xy²: Start by identifying the coefficients and variables. Coefficient: 4 Variables: x and y (with the exponent … Read more