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asambeis [7]
3 years ago
6

Analyze the pre-image ABCD. What are the vertices of the final image if T–1, –2 ◦ ry = x is applied to figure ABCD?

Mathematics
2 answers:
zysi [14]3 years ago
8 0

Answer:

A''

(3,0)

B''

(3, 2)

C''

(1,1)

D''

(1, -1)

just making sure nobody puts the wrong answer!

mariarad [96]3 years ago
6 0

Answers:

A''(3, 0); B''(3, 2); C''(1, 1); D''(1, -1)

Explanation:

We perform the reflection across y=x first.  This reflection switches the x- and y-coordinates; this maps:

A(2, 4)→A'(4, 2)

B(4, 4)→B'(4, 4)

C(3, 2)→C'(2, 3)

D(1, 2)→D'(2, 1)

Next we perform the translation.  This translation shifts the figure 1 unit left and 2 units down, by subtracting 1 from the x-coordinate and 2 from the y-coordinate.  This maps:

A'(4, 2)→A''(3, 0)

B'(4, 4)→B''(3, 2)

C'(2, 3)→C''(1, 1)

D'(2, 1)→D''(1, -1)

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3 years ago
what is the scale factor of triangle UVW to triangle XYZ where uvw has side Lengths 3,4,2, and XYZ has lengths 14,28,21
alekssr [168]

Answer: 7

Step-by-step explanation:

Given:  Triangle UVW map to triangle XYZ where Triangle UVWhas side Lengths 3,4,2, and triangle XYZ has lengths 14,28,21.

We know that the scale factor between two similar figures is the the ratio of the corresponding side of image to the original figure.

Let k be the scale factor.

Then,

k=\frac{21}{3}=\frac{14}{2}=\frac{28}{4}=7\\\\\Rightarrow\ k=7

Hence, the scale factor = 7

8 0
3 years ago
3x + 5y = -19<br> 5x - 2y = 16<br> solve for x and y
beks73 [17]

Step-by-step explanation:

2(3x + 5y = -19)

6x + 10y = -38

5 (5x -2y = 16)

25x - 10y = 80

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7 0
3 years ago
1. Michael invests $2000 in an annuity that offers an interest rate of 4% compounded quarterly for 5 years. What is the value of
Amanda [17]
1. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $2000
r = interest rate = 4%
n = the number of times that interest is compounded per year = 4
x = the number of years = 5

Calculations:

A = 2000 (1 + 0.04/4)²⁰

A = 2000 (1 + 0.01)²⁰

A = 2000 (1.01)²⁰

A = 2000 ₓ 1.22

A = $2440.38 


2. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 48%
n = the number of times that interest is compounded per year = 12
x = the number of years = 2

Calculations:

A = 50 (1 + 0.48/12)²⁴

A = 50 (1 + 0.04)²⁴

A = 50 (1.04)²⁴

A = 50 ₓ 2.56

A = $128.16


3. The formula for annual compound interest, including principal sum, is:

A = P (1 + r/n)ⁿˣ

Where:

A = the future value = ?
P = the principal investment amount = $50
r = interest rate = 4%
n = the number of times that interest is compounded per year = 12
x = the number of years = 3

Calculations:

A = 50 (1 + 0.04/12)³⁶

A = 50 (1 + 0.003)³⁶

A = 50 (1.003)³⁶

A = 50 ₓ 1.12

A = $56.36

8 0
3 years ago
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What is x/8 = - 8 <br> = to
FrozenT [24]
Answer -64


step by step:
3 0
3 years ago
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