Graph △RST with vertices R(4, 1), S(7, 3), and T(6, 4) and its image after the glide reflection.Translation: (x, y)→(x−3, y)
Reflection: in the line y=−1
Answers
The image of triangle △RST after the glide reflection, which involves a translation of (x, y) → (x - 3, y) followed by a reflection in the line y = -1, is △R'S'T' with vertices R'(1, -2), S'(4, -5), and T'(3, -6).
To graph triangle △RST with vertices R(4, 1), S(7, 3), and T(6, 4), and its image after the glide reflection, we'll follow these steps:
Start by plotting the original triangle △RST using the given vertices:
R(4, 1)
S(7, 3)
T(6, 4)
Now, let's apply the translation to every vertex of the triangle.
The translation (x, y) → (x - 3, y) shifts each point 3 units to the left (in the negative x-direction).
Apply this translation to each vertex:
R' = (4 - 3, 1) = (1, 1)
S' = (7 - 3, 3) = (4, 3)
T' = (6 - 3, 4) = (3, 4)
Next, we'll apply the reflection in the line y = -1 to the translated vertices. The reflection in this line flips each point across the line.
To do this, we'll calculate the distance between each point and the line y = -1 and then move the same distance in the opposite direction.
R'' is reflected across the line y = -1 to (1, -2).
S'' is reflected across the line y = -1 to (4, -5).
T'' is reflected across the line y = -1 to (3, -6).
Now, we have the vertices of the image triangle △R'S'T'.
You can plot these points on the same graph as the original triangle to visualize the glide reflection transformation.
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Answer:
Step-by-step explanation:
Points R(4,1) S(7,3) T(6,4) after translation
R(4-3, 1) S(7-3, 3) T(6-3, 4)
R'(1, 1) S'(4, 3) T'(3, 4)
Points R'(1, 1) S'(4, 3) T'(3, 4) after reflection
R''(1, -3) S''(4, -5) T''(3, -6)
Related Questions
Find the inverse laplace transform of: (2 s + 4) / (s - 3)^3
1.Rodney Ranger is a shoe salesman for More Co. He is paid $4.60 per hour plus a commission of 3% on all sales. For the week, assuming Rodney works 30 hours and has sales of $2,400, what is his gross pay?Barry Katz earned $990 per week. He is married and claims three allowances. What is his federal income tax? (Use the percentage method.Molly Flynn, an accountant at Coor Company, earned $109,400 from January to June. In July, Molly earned $4,600. Assume a tax rate of 6.2% for Social Security on the first $118,500 and a Medicare rate of 1.45%. How much is the tax for Social Security and Medicare?Mike Goldsmith is paid $6.40 per hour. Last week he worked 40 hours, and this week 60 hours. Calculate Mike's pay for each week (time and a half over 40 hours):Jenny earns $700 per week, plus 6% of sales in excess of $5,700. If Jenny sold $15,791 last week, what were her weekly earnings?Robin Small pays her three workers $180, $450, and $615, respectively, per week. Calculate what Robin will pay at the end of the first quarter for (A) state unemployment and (B) federal unemployment. Assume a state rate of 5.7%. Federal is .8%. Base is $7,000.Andrew Buckner earns $1,680 per week. He is married and claims three exemptions. What is Andrew's federal income tax? Use the percentage methodSonny Siebert earned $485,000 a year as a rookie pitcher for the Cleveland Indians. Assuming a tax rate of 6.2% for Social Security up to $118,500 and Medicare tax of 1.45%, how much did Sonny pay in FICA taxes as a rookie pitcher?Dan Zabrowski pays three employees $220, $475, and $600, respectively, per week. Calculate what Dan pays at the end of the first quarter for (A) SUTA at 5.7% and (B) FUTA at .8%. The base is $7,000:Jim Push, a manager for Marvy Co., has weekly earnings subject to deductions for Social Security, Medicare, and FIT. Before this payroll, Jim is $500 below the maximum level for Social Security. What will his net pay be if he earns $760? Jim is married and claims one exemption. Use the percentage method. Assume a FICA tax rate of 6.2% on $118,500.Jim Dashinger is a salesman who receives a $100 draw per week. He receives a 12 1/2% commission on all sales. Sales for Jim for the month were $28,000. What did Jim receive after taking the draw into consideration? (Assume a five-week month.)Joyce Meadow pays her three workers $160, $470, and $800, respectively, per week. Calculate what Joyce will pay at the end of the first quarter for (A) state unemployment and (B) federal unemployment. Assume a state rate of 5.6%. Federal is .6%. Base is $7,000.John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.John Rose, owner of Rose Corporation, has three employees who earn $500, $600, and $700, respectively. After 12 weeks how much has John contributed for state and federal unemployment? Assume a state rate of 5.6% and a federal rate of .8%.
What is the total? Add those together.
27-[38-{46-(15-13-2)}]
Answers
Answer:
8 3 + 4 2 + 7 − 7
Step-by-step explanation:
Distribute
(103+72−7)−1(23+32−7)
(103+72−7)−23−32+7
Eliminate redundant parentheses
(103+72−7)−23−32+7
103+72−7−23−32+7
Combine like terms
103+72−7−23−32+7
83+72−7−32+7
Combine like terms
83+72−7−32+7
83+42−7+7
Rearrange terms
83+42−7+7
83+42+7−7
Answer:
-8x3 - 4x2-7x + 7
Step-by-step explanation:
Answers
5*10-5=495
495/106≈ 4.67
Answers
It will take the construction company 48 hours to remove 36 tons of dirt from the site.The construction company can remove \( \frac{3}{4} \) tons of dirt from the site each hour.
To find out how long it will take them to remove 36 tons of dirt, we can set up a proportion
Given:Amount of dirt removed in one hour =
Total amount of dirt to be removed = 36 tons
Let t represent the time in hours it will take to remove 36 tons of dirt. Plugging in the values:
Solving for hours
So, it will take the construction company 48 hours to remove 36 tons of dirt from the site.
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Answer:
48hours
Step-by-step explanation:
36÷(3/4)
36*(4/3)
144/3
48
Answers
The y-value for the E coordinate after the translation of the points will be 9.
What is translation?
The process of changing the location of the image on the coordinate system will be known as the translation.
A coordinate plane is a 2D plane that is formed by the intersection of two perpendicular lines known as the x-axis and y-axis. A coordinate system in geometry is a method for determining the positions of the points by using one or more numbers or coordinates.
Given that triangle, EFG with the coordinates E (-3,5), F(-3, 1), (1, 1) is translated as 2 units left and 4 units up.
E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9).
Therefore, the y-value for the E coordinate after the translation of the points will be 9.
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Answer:
the y value would be 9
full translation(-5,9)
Step-by-step explanation:
E(-3,5) translated 2 units left would be (-5,5), then translated 4 units up would be (-5,9)
2) three and twenty-five hundreds
3) twenty-five and one-tenth
4) fifty-two and seventy-six hundred
5) eight hundred seventy-two and one tenths
Answers
Step-by-step explanation:
1 544.4
2. 3.025
3. 25.1
4. 52.076
5. 872.1
for your information
1 tenth is equal to 0.1
1 hundredth is equal to 0.01
1 thousandth is equal to 0.001
Answers
Answer:
original: -5, 1
Final: 2, 1