🧮 algebra

1. The problem states that $$\frac{a}{b} = \frac{b}{c} = \frac{c}{d} = k$$ where $$k = 0$$. 2. Since $$k = 0$$, we have:

1. **Problem statement:** Given that in Diagram 3, - Line AB is parallel to line CD.

1. Problem statement: Sketch the graph of the quadratic function $f(x) = x^2 - 6x + 8$ and find the axis of symmetry. 2. To graph $f(x) = x^2 - 6x + 8$, first find its vertex by co

1. The problem is to simplify the expression $2x-4$. 2. The expression $2x-4$ is already simplified, but it can be factored by taking out the common factor of 2.

1. Stating the problem:\nWe are given the equation $$A = P(1 - in)$$ with values $$P = 10000$$, $$i = 0.2$$ (note the decimal point corrected from comma), and $$n = 5$$.\n\n2. Subs

1. The problem is to eliminate the parameter $0$ from the parametric equations: $$x = 3 \cos 0 - 5 \sin 0$$

1. The problem involves multiple expressions, from powers of 2 times various numbers to identification and number patterns. 2. Starting with evaluating powers of 2 and multiplicati

1. **State the problem:** Given the equations $x + y = 8$ and $x^2 + y^2 = 34$, we need to find: - $x^2 + 2xy + y^2$

1. **State the problem:** Solve the equation $$2x - 1 = \sqrt{8 - x}$$ and find any extraneous solution obtained by squaring both sides. 2. **Square both sides:** To eliminate the

1. We start with the equation \(\sqrt{8 - x} = 2x + d\) and want to find \(d\) such that \(x = -1\) is an extraneous solution. 2. An extraneous solution is a root of the squared eq

1. Problem: Simplify and manipulate algebraic expressions as needed. 2. Since no specific expression was given, here are general steps to manipulate algebraic expressions:

1. Soal pertama menanyakan persamaan kuadrat yang akar-akarnya adalah -7 dan 5. Kita tahu rumus dari persamaan kuadrat dengan akar-akarnya $x_1$ dan $x_2$ adalah

1. Stating the problem: Solve the equation $x^2 + 1 = 0$ for $x$. 2. Move the constant term to the other side: $$x^2 = -1$$

1. **Problem 1: Sketch the line with y-intercept -4 and slope 5/3.** - The line equation in slope-intercept form is $y = mx + b$ where $m=\frac{5}{3}$ and $b=-4$.

1. **Problem:** Find the domain and range of the function $f(x) = 1 + 3x + x^2$. 2. The function is a quadratic polynomial which is defined for all real $x$, so the domain is all r

1. We are given the formula for compound interest: $A = P(1 + i)^n$. Here, $A$ is the amount after interest, $P$ is the principal, $i$ is the interest rate per period, and $n$ is t

1. Diketahui akar-akar persamaan kuadrat adalah -7 dan 5. 2. Bentuk umum persamaan kuadrat jika diketahui akar adalah $$x^2 - (x_1 + x_2)x + x_1x_2 = 0$$.

1. The term "simple sollications" is unclear. Assuming you meant "simple solutions" for an algebraic problem, please provide the specific equation or problem you want to solve. 2.

1. State the problem. Solve the quadratic equation $2x^2 - 7x + 1 = 0$.

1. Stating the problem: Solve the quadratic equation $$2x^{2}-7x+1=0$$. 2. Identify coefficients: Here, $a=2$, $b=-7$, and $c=1$.

1. Evaluate $24 - (7 + 4)$: Calculate inside parentheses first: $7 + 4 = 11$