Step-by-step explanation:
Q1:
• Reflection about the X-axis.
• g(x) = -f(x).
Q2:
• Horizontal translation 1 unit to the right.
• g(x) = f(x-1).
Q3:
• Scaling by 2 times in the vertical direction.
• g(x) = 2f(x).
After the square undergoes an isometric transformation, its new vertices are Q'(0,0), U'(4,0), A'(4,-4), and D'(0,-4). Which of the following options best describes the type of transformation that maps QUAD onto Q'U'A'D'?
a. reflection
b. translation
c. rotation
Answer:
Rotation
Step-by-step explanation:
I did odyssey and got it right.
Answer:
Carpenter: 12 hours and Blacksmith: 18 hour
Step-by-step explanation:
The equation representing the elevation of Grand Lake after x number of days, given a decrease of 3 inches per day, is Elevation = 648 - 0.25x, where 0.25 is the daily loss rate in feet and x represents the number of days.
The subject of this question is the application of linear equations to real-world problems, specifically in the context of environmental changes. Given the initial elevation of Grand Lake and the daily rate of water level decrease, we can write an equation that represents the elevation of the lake's surface after x days.
The initial height of the lake is 648 feet. Every day, the lake elevation drops by 3 inches. However, our rate is given in inches and the initial elevation is in feet. We should convert the rate from inches to feet. Since there are 12 inches in a foot, 3 inches is equal to 3/12 = 0.25 feet.
So after one day, the lake would be at 648 - 0.25 = 647.75 feet. After two days, the lake would then be at 648 - 2(0.25) = 647.50 feet, and so on. In general, after x days, the elevation of the lake would be 648 - x(0.25)
Therefore, the equation we are looking for is: Elevation = 648 - 0.25x
#SPJ12
x=4
4x+2=18
x has to be alone, so you dived both sides by 2
4x=18-2
4x=16
divide both sides by 4
x=4
Answer:
Addition property of equality and multiplication property of equality
Step-by-step explanation:
Addition Property of Equality: This property states that you can add or subtract the same value to both sides of an equation without changing its solution.
Here's the step-by-step solution, emphasizing the properties used:
Start with the equation:
4x + 2 = 18
Use the Addition Property of Equality to isolate the variable "x." Subtract 2 from both sides to move the constant term to the other side of the equation:
4x + 2 - 2 = 18 - 2
Simplify both sides by applying the Addition Property of Equality:
4x = 16
To further isolate "x," use the Multiplication Property of Equality, which states that you can multiply or divide both sides of an equation by the same nonzero value. Divide both sides by 4 to solve for "x":
(4x) / 4 = 16 / 4
Simplify both sides using the Multiplication Property of Equality:
x = 4
So, in solving the equation 4x + 2 = 18, you primarily used the Addition Property of Equality and the Multiplication Property of Equality to isolate and solve for "x."
4x-y=-24
hope this helps- i did the test :)
Answer: