🧮 algebra

1. The problem asks to fill in the blanks about formulas and then rewrite the area formula $A = b \cdot h$ to solve for height $h$. 2. A formula models a relationship between **var

1. The problem asks to write the subtraction sentence shown on the number line. 2. The number line shows a point at $\frac{4}{5}$ and a purple arrow moving left labeled $-\frac{4}{

1. The problem asks to identify the graph of the equation $$(x + 3)^2 + (y + 1)^2 = 9$$. 2. This is the equation of a circle in standard form: $$(x - h)^2 + (y - k)^2 = r^2$$ where

1. The problem asks for the slope of a line given its graph. 2. The graph is a horizontal line at $y = -2$.

1. The problem asks for the slope of the line and what the slope tells us. 2. The slope of a line is defined as the change in the vertical direction (change in $y$) divided by the

1. **State the problem:** We need to find the slope of the line that relates the area of a garden (in ft²) to the cost to cover it with landscaping stones. 2. **Recall the formula

1. **State the problem:** Simplify the expression $\frac{6}{-\sqrt{3}}$. 2. **Formula and rules:** To simplify a fraction with a square root in the denominator, multiply numerator

1. **Stating the problem:** We are given that in pattern $k$, the difference between the total number of squares and the number of shaded squares is 271.

1. Il problema chiede di trovare il valore di $x$ dato il rapporto proporzionale: $$x : \left(1 - \frac{1}{3}\right) = \left(1 - \frac{1}{10}\right) : \left(2 + \frac{2}{25}\right)

1. **Énoncé du problème :** Étudier les variations de la fonction $$f : x \mapsto e^{2x}$$ pour $$x \in \mathbb{R}$$. 2. **Formule utilisée :** Pour étudier les variations d'une fo

1. Vamos resolver o problema 12 da foto, que provavelmente envolve uma equação ou expressão algébrica. 2. Primeiro, identifique a equação ou expressão dada no problema 12.

1. **State the problem:** Solve the inequality $$-\frac{i}{4} \geq 2$$. 2. **Formula and rules:** To solve for $i$, multiply both sides by $-4$ to cancel the denominator. Remember,

1. **Énoncé du problème :** Nous avons la matrice

1. **State the problem:** Find the value of $x$ such that the line passing through the points $(-11, -11)$ and $(x, 1)$ has a slope of $3$. 2. **Formula for slope:** The slope $m$

1. **State the problem:** Multiply the fractions $\frac{1}{6}$ and $\frac{2}{3}$. 2. **Formula:** To multiply fractions, multiply the numerators together and the denominators toget

1. **State the problem:** Simplify or factor the quadratic expression $x^2 + 9x + 20$. 2. **Recall the factoring formula:** For a quadratic $ax^2 + bx + c$, we look for two numbers

1. **State the problem:** Simplify the expression $$(3m^{-4})^3(3m^5)$$ and find which option it is equivalent to. 2. **Recall the exponent rules:**

1. **State the problem:** We need to solve the equation $$\frac{2x+3}{4} = 5$$ for $x$. 2. **Formula and rules:** To solve equations involving fractions, multiply both sides by the

1. **State the problem:** Solve the equation $$x^4 - 13x^2 + 40 = 0$$. 2. **Use substitution:** Let $$y = x^2$$, so the equation becomes $$y^2 - 13y + 40 = 0$$.

1. The problem is to solve the equation $2x + 3 = 11$ for $x$. 2. The formula used here is to isolate the variable $x$ by performing inverse operations. We subtract 3 from both sid

1. The problem asks to calculate the arithmetic sequence term $u(n)$ given the term number $n-1$. 2. The general formula for the $n$-th term of an arithmetic sequence is: