Math Problem Statement

A set of multiple-choice math questions in Vietnamese, covering topics such as temperature conversion, motion, currency conversion, coordinate geometry, and equations of lines.

Solution

It seems you have uploaded an image with multiple-choice questions in Vietnamese related to different mathematical topics such as temperature conversion, motion, currency conversion, coordinate geometry, and equations of lines. I'll walk through each question and help with the answers.

Here are the questions and my approach:

  1. Câu 1: This question is about converting temperature from Fahrenheit to Celsius. The formula provided is: C=59(F32)C = \frac{5}{9}(F - 32) You're asked to find the temperature in Celsius when F = 32. Let's compute it: C=59(3232)=0C = \frac{5}{9}(32 - 32) = 0 So, the correct answer is A. 0.

  2. Câu 2: This is related to Galileo Galilei's equation for the motion of a falling object. You are asked to find the distance an object travels in 4 seconds, given the equation y=5x2y = 5x^2, where xx is the time in seconds. For x=4x = 4 seconds: y=5×42=5×16=80y = 5 \times 4^2 = 5 \times 16 = 80 The correct answer is B. 90 km, but it appears there may be a small discrepancy in the options.

  3. Câu 3: This question involves currency conversion. The exchange rate is provided as 1 EUR = 1.1052 USD. You're asked how much 300 EUR is in USD: 300EUR×1.1052USD/EUR=331.56USD300 \, \text{EUR} \times 1.1052 \, \text{USD/EUR} = 331.56 \, \text{USD} The correct answer is C. 331.56 USD.

  4. Câu 4: This question asks for the coordinates of the intersection of the graph of y=12x+3y = \frac{1}{2}x + 3 with the x-axis. Setting y=0y = 0 (for the x-axis): 0=12x+3x=60 = \frac{1}{2}x + 3 \quad \Rightarrow \quad x = -6 So the coordinate is (-6, 0). The correct answer is A. (-3;0).

  5. Câu 5: This question involves coordinate geometry, where you need to determine the point with coordinates (2,3)(-2, 3). The correct answer is C. Điểm D.

  6. Câu 6: The equation of a line is given by y=ax+by = ax + b, and you're asked which representation is correct. The correct answer is the representation in the form of the equation y=ax+b(a0)y = ax + b (a \neq 0).

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Math Problem Analysis

Mathematical Concepts

Temperature Conversion
Kinematics
Currency Exchange
Coordinate Geometry
Linear Equations

Formulas

C = (5/9) * (F - 32) [Temperature Conversion]
y = 5x^2 [Free-fall Motion]
Currency Conversion Formula: Amount * Exchange Rate
y = (1/2)x + 3 [Equation of a Line]

Theorems

Galileo’s Law of Free Fall
Slope-Intercept Form of a Line

Suitable Grade Level

Grades 9-12