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🧮 algebra

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Motorcycle Distance
1. **State the problem:** Madelyn rode her motorcycle at 85 kilometers per hour for 4 hours. 2. We want to find the distance she rode while the car was behind her for half of the t
Multiplication Repeat
1. Let's clarify the problem you are asking about. It seems you want to understand why when you repeat a question, the result is 12. 2. If the question is about multiplication or r
Kayak Distance
1. The problem states Brett paddled his kayak for 18 minutes at a speed of 80 meters per minute. 2. We want to find the distance Brett moved while the fish swam behind his kayak, w
Bar Values
1. The problem gives three constants: $c_1 = \frac{3}{4}$, $c_2 = \frac{3}{2}$, and $c_3 = 3$. 2. These values represent lengths or magnitudes for horizontal bars.
Tractor Distance
1. The problem states Heather's tractor has a maximum speed of 48 meters per minute. 2. She drove at half of the maximum speed. So, calculate half of 48 meters per minute: $$\frac{
Solve Linear Equation
1. The problem asks to repeat the question and show all the steps keenly. 2. Since the user did not specify a particular question, I will illustrate this with an example problem: S
Line Slope Intercept
1. The problem states the linear function: $$y = 0.5x + 9$$. 2. This is a straight line where the slope is 0.5 and the y-intercept is 9.
Gcd Polynomials
1. **State the problem:** Find the greatest common divisor (g.c.d) of the three polynomials $$x^2 + 3x - 4,$$ $$x^2 - 3x + 2,$$ and $$2x^2 - 5x + 3.$$\n\n2. **Factor each polynomia
Simplify Expression
1. Stating the problem: Simplify the expression $A=2\times\left[\frac{26-17}{3}+11\right]\div 10$. 2. Calculate inside the brackets first: $26-17=9$.
Parallel Line Equation
1. The problem asks to find the equation of line B, which passes through point P and is parallel to line A. 2. First, determine the slope of line A. It passes through (0,0) and (1,
Jigsaw Dimensions
1. Problem: The length of a rectangular jigsaw puzzle is 12 cm more than its width, and the area is 640 cm². Find the width and length of the jigsaw puzzle. 2. Define the variable:
General Solution
1. Let's start by identifying what needs to be solved. Since the user has not specified a particular equation or problem, please provide the exact problem you want solved. 2. If yo
Quadratic Analysis
1. The problem is to analyze the quadratic expression $ax^2 + bx + c$. 2. This is a standard quadratic polynomial where $a$, $b$, and $c$ are constants, and $a \neq 0$.
Solve Powers
1. We are asked to calculate the values of $x$, $z$, and $t$ given the equations $x^5 = -10.4858$, $z^4 = 1.749$, and $t^6 = -2.31306$. 2. To find $x$ in $x^5 = -10.4858$, take the
Parallel Line
1. The problem asks for the equation of a line parallel to line A and passing through point P(-1,3). 2. From the graph, line A passes through the origin (0,0) and point (1,1), so i
Quadratic Factorization
1. **State the problem:** Factorize the quadratic expression $x^2 + px + q$. 2. **Recall the form:** A quadratic expression can be factored as $$(x + a)(x + b)$$ where $a$ and $b$
Macht Van Getal
1. Het probleem is om de uitdrukking $$\sqrt{5^9} \cdot \sqrt{5^{27}} \cdot \sqrt[3]{243}$$ te herschrijven als een macht van een getal. 2. Eerst herschrijven we de wortels als mac
Bewys Vergelyking
1. Probleemstelling: Ons moet bewys dat $$18+42+38=98$$ waar is deur gebruik te maak van die kommutatiewe en assosiatiewe eienskappe van byvoeging. 2. Kommutatiewe eienskap sê dat
Machten Vanno3
1. Laten we de eerste uitdrukking schrijven als een macht van 3. a) $\sqrt[3]{9\sqrt[4]{27}}$
Tank Capacity Quinary
1. Problem: Find how much less the capacity of tank B is than the capacity of tank A. Step 1: Let the capacity of tank A be $C_A$ and tank B be $C_B$.
Pzpt Bbsh
1. مسئله را بیان می‌کنیم: دو تابع $$f(x) = 3x + 1 + |ax - 1|$$