🧮 algebra

1. The problem is to simplify the expression $-13 + \sqrt{-100}$.\n\n2. Recall that the square root of a negative number involves imaginary numbers. Specifically, $\sqrt{-a} = i\sq

1. The problem asks us to rewrite the expression $\sqrt{-16}$ as a complex number using the imaginary unit $i$. 2. Recall that the imaginary unit $i$ is defined as $i = \sqrt{-1}$.

1. **State the problem:** Rewrite the expression $-\sqrt{-48}$ as a complex number and simplify all radicals. 2. **Recall the imaginary unit:** The imaginary unit $i$ is defined as

1. The problem is to rewrite the expression $\sqrt{-57}$ using the imaginary number $i$ and simplify all radicals. 2. Recall that the imaginary unit $i$ is defined as $i = \sqrt{-1

1. The problem is to rewrite the expression $6 - \sqrt{-8}$ as a complex number and simplify all radicals. 2. Recall that the imaginary unit $i$ is defined as $i = \sqrt{-1}$.

1. **State the problem:** Rewrite the expression $-\sqrt{-76}$ as a complex number and simplify all radicals. 2. **Recall the imaginary unit:** The imaginary unit $i$ is defined as

1. **State the problem:** Rewrite the expression $-\sqrt{-36}$ as a complex number and simplify all radicals. 2. **Recall the definition of the imaginary unit:** The imaginary unit

1. The problem is to rewrite the expression $\sqrt{-30}$ as a complex number and simplify all radicals. 2. Recall that the imaginary unit $i$ is defined as $i = \sqrt{-1}$.

1. The problem is to rewrite the expression $\sqrt{-66}$ as a complex number and simplify all radicals. 2. Recall that the imaginary unit $i$ is defined as $i = \sqrt{-1}$.

1. The problem asks to rewrite the expression $18 - \sqrt{-49}$ as a complex number and simplify all radicals. 2. Recall that the imaginary unit $i$ is defined as $i = \sqrt{-1}$.

1. Planteamos el primer problema: Determinar el vector \(\overrightarrow{AB}\) en términos de sus componentes. 2. Dados los puntos \(A(2,-1)\) y \(B(0,5)\), usamos la fórmula para

1. **State the problem:** Simplify the expression $$5x^2 - 4x - \frac{1}{2}(x-3)(x-1)(x+1)$$. 2. **Recall the formula and rules:** To simplify, first expand the product in the pare

1. **Problem:** Find the Least Common Multiple (LCM) or KPK of 8, 12, and 18. 2. **Formula and rules:**

1. **Problem:** Find the Cartesian equation for the parametric curve given by $$x = \frac{t}{t - 1}, \quad y = \frac{t - 2}{t + 1}, \quad -1 < t < 1.$$\n\n2. **Goal:** Eliminate th

1. **State the problem:** Simplify the expression $15x + 5x$. 2. **Formula and rules:** When adding like terms, add their coefficients and keep the variable part the same.

1. **State the problem:** Simplify the expression $2x + 3x$. 2. **Formula and rules:** When adding like terms, add their coefficients and keep the variable part the same.

1. **State the problem:** Solve the system of linear equations: $$6x - 11y = -83.8$$

1. **State the problem:** Solve the equation $$\frac{1}{\tanh(x)} - \frac{0.5}{\tanh(x)} - \frac{0.95}{x} = 0$$ for $x$. 2. **Combine like terms:** Since the first two terms have t

1. **State the problem:** We want to find a common denominator for the expression $$\frac{2x}{6x+6} + \frac{x-8}{12x-12}$$. 2. **Factor each denominator:**

1. **State the problem:** Find the permissible values of $x$ for the expression $$\frac{2x}{6x+6} + \frac{x-8}{12x-12}.$$\n\n2. **Identify restrictions:** The denominators cannot b

1. The problem asks to find the equation of a line in the form $y = mx + c$ given two points on the line. 2. The general form is $y = mx + c$, where $m$ is the slope and $c$ is the