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finlep [7]
3 years ago
6

A rectangle has vertices (6,4), (2,4), (6,-2), and (2,-2). What are the coordinates of the vertices of the image after a dilatio

n with the origin as its center and a scale factor of 2.5
Mathematics
1 answer:
trasher [3.6K]3 years ago
4 0

Answer:

Step-by-step explanation:

multiply each coordinate by 2.5

new vertices are (15,10),(5,10),(15,-5) and (5,-5) respectively.

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Triangle RST has vertices located at R (2, 3), S (4, 4), and T (5, 0).
LiRa [457]

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

<h3>Linear equation</h3>

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change and b is the initial value of y.

For RS:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(4-3)^2+(4-2)^2}=2.24   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{4-3}{4-2}=0.5

For RT:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-3)^2+(5-2)^2}=4.24   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-3}{5-2}=-1

For ST:

  • Length = \sqrt{(y_2-y_1)^2+(x_2-x_1)^2}=\sqrt{(0-4)^2+(5-4)^2}=4.12   \\&#10;\\&#10;slope=\frac{y_2-y_1}{x_2-x_1} =\frac{0-4}{5-4}=-4

The length of the sides are 2.24, 4.24 and 4.12 units while the slope are 0.5, -1 and -4.

Find out more on linear equation at: brainly.com/question/14323743

5 0
2 years ago
Describe what is meant by a sampling unit. Explain why the sampling unit for verifying the existence of recorded sales differs f
xeze [42]

Answer:

Step-by-step explanation:

The sampling unit is the population item from which the auditor selects sample items. The major consideration in defining the sampling unit is making it consistent with the objectives of the audit tests. Thus, the definition of the population and the planned audit procedures usually dictate the appropriate sampling unit.

The sampling unit for verifying the existence of recorded sales would be the entries in the sales journal since this is the record the auditor wishes to validate.

The sampling unit for testing the possibility of omitted sales is the shipping document from which sales are recorded because the failure to bill a shipment is the exception condition of interest to the auditor.

7 0
2 years ago
A book contains pages from 1-48. A student picks a page at random. What is the probability that the page contains a 3​
Nutka1998 [239]
1/48

Since there is only 1 page labeled “3,” the probability of picking page 3 is 1/48.
6 0
2 years ago
Read 2 more answers
X squared divided 2=w-y make x the subject
Artemon [7]
Do you mean this? 
x= sqrt{2(w-y)} 
8 0
2 years ago
Solve the system of equations and choose the correct ordered pair. 3x + 4y = 38 5x - 5y = -30
faust18 [17]
3x + 4y = 38 ( equation 1) ----> ×5 5x - 5y = -30 ( equation 2) ----> ×3 When you multiply eqn 1 by 5 you get, 15x + 20y = 190 And when you multiply eqn 2 by 3, you get, 15x - 15y = -90 Then you solve both equations by subtracting eqn 2 from eqn 1 15x + 20y = 190 15x - 15y = 90 Then 15x - 15x gets cancelled and 20y - (-15y) gives 35y and 190 - (-90) gives 280. So that gives 35y = 280 y = 8 And when you replace y = 8 in any of the two equations, x = 2
3 0
3 years ago
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