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aivan3 [116]
2 years ago
10

Triangle QRS is translated 7 units right, then rotated 90 degrees clockwise about the origin. The vertices of triangle Q"R"S" ar

e Q"(6, -1), R"(0, -1), and S"(0, -7). Determine the coordinates of triangle QRS
Mathematics
1 answer:
Goryan [66]2 years ago
7 0

Answer:

Q (-6.6), R (-6.0), S (0.0)

Step-by-step explanation:

In the exercise we are asked to find the original coordinates with the given transforms, which means that we must apply the inverse of the indicated transformations.

Original coordinates: Q "(6, -1), R" (0, -1) and S "(0, -7)

When turning 90 ° counterclockwise, since we want the opposite, the following change occurs (the axes and the sign are inverted):

Q '(1.6), R' (1.0), S '(7.0)

Now we have to move to the left by 7 units, because it is the opposite of the right, only on the x axis, 7 is subtracted

Q (-6.6), R (-6.0), S (0.0)

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Tyler had $65.40 in his checking account. Then he wrote checks on the account for $20.38, $11.48, and $19.50. What is the balanc
andrew-mc [135]

money going out (20.38+11.48+19.50) =51.36

balance - out = new balance

65.40-51.36 =

14.04

new balance =  14.04

4 0
2 years ago
Joe scored 10 points in the basketball game. This is 2 more than one-sixth of the points scored by the team. Which equation, whe
marissa [1.9K]

(1/6) x + 2 = 10

Step-by-step explanation:

Step 1 :

Let x be the number of points scored by the team.

Given Joe has scored 2 points more than one sixth of the point scored bynthe team

Step 2:

Based on the above given information the equation which gives the points scored by Joe is as follows:

(1/6) x + 2

Given that Joe has scored 10 points, we have

(1/6)x + 2 = 10

Step 3:

When we solve the above equation for x , we get the total number of points scored by the team

7 0
2 years ago
Read 2 more answers
For each system of equations, drag the true statement about its solution set to the box under the system?
natta225 [31]

Answer:

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

Step-by-step explanation:

* Lets explain how to solve the problem

- The system of equation has zero number of solution if the coefficients

 of x and y are the same and the numerical terms are different

- The system of equation has infinity many solutions if the

   coefficients of x and y are the same and the numerical terms

   are the same

- The system of equation has one solution if at least one of the

  coefficient of x and y are different

* Lets solve the problem

∵ y = 4x + 2 ⇒ (1)

∵ y = 2(2x - 1) ⇒ (2)

- Lets simplify equation (2) by multiplying the bracket by 2

∴ y = 4x - 2

- The two equations have same coefficient of y and x and different

  numerical terms

∴ They have zero equation

y = 4x + 2

y = 2(2x - 1)

Zero solutions.

4x + 2 can never be equal to 4x - 2

∵ y = 3x - 4 ⇒ (1)

∵ y = 2x + 2 ⇒ (2)

- The coefficients of x and y are different, then there is one solution

- Equate equations (1) and (2)

∴ 3x - 4 = 2x + 2

- Subtract 2x from both sides

∴ x - 4 = 2

- Add 4 to both sides

∴ x = 6

- Substitute the value of x in equation (1) or (2) to find y

∴ y = 2(6) + 2

∴ y = 12 + 2 = 14

∴ y = 14

∴ The solution is (6 , 14)

y = 3x - 4

y = 2x + 2

One solution

3x - 4 = 2x + 2 has one solution

3 0
2 years ago
Write a multiplication fact that goes with this division fact. 24 ÷ 4 = 6
Mekhanik [1.2K]
Well I wild have to say 6x4=24
3 0
2 years ago
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Joseph received a $20 gift card for downloading music. Each downloaded song costs $1.29. Explain how to write and solve an inequ
OleMash [197]
X= the amount of songs
(x*1.29)/20
5 0
2 years ago
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