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Naddika [18.5K]
3 years ago
12

Help with problem 14?! 

Mathematics
1 answer:
marysya [2.9K]3 years ago
6 0
All you need to know is that domain is x and range is y, like a graph.
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Triangle A″B″C″ is formed by a reflection over x = 1 and dilation by a scale factor of 2 from the origin. Which equation shows t
andrew-mc [135]

Answer:

segment AB over segment A double prime B double prime = the square root of 13 over 2 times the square root of 13

Step-by-step explanation:

Triangle ABC has vertices at points A(-3,3), B(1,-3) and C(-3,-3).

1. Reflection over x = 1 maps vertices A, B and C as follows

  • A(-3,3)→A'(5,3);
  • B(1,-3)→B'(1,3);
  • C(-3,-3)→C'(5,-3).

2. Dilation by a scale factor of 2 from the origin has the rule

(x,y)→(2x,2y)

So,

  • A'(5,3)→A''(10,6);
  • B'(1,3)→B''(2,6);
  • C'(5,-3)→C''(10,-6)

See attached diagram for details

Note that

A''B''=2AB\\ \\A''C''=2AC\\ \\B''C''=2BC,\\ \\AB=\sqrt{(-3-1)^2+(3-(-3))^2}=\sqrt{16+36}=\sqrt{52}=2\sqrt{13}

so

\dfrac{AB}{A''B''}=\dfrac{2\sqrt{13}}{2\cdot 2\sqrt{13}}=\dfrac{\sqrt{13}}{2\sqrt{13}}

7 0
4 years ago
Find the annual interest rate.
slega [8]

The annual interest rate is 3.5%.

Solution:

Given Interest (I) = $26.25

Principal (P) = $500

Time (t) = 18 months

Rate of interest (r) = ?

Time must be in years to find the rate per annum.

1 year = 12 months

Divide the time by 12.

Time (t) = \frac{18}{12}=\frac{3}{2} years

Now, find the rate of interest using simple interest formula.

<u>Simple interest formula:</u>

$I=\frac{Prt}{100}

$26.25=\frac{500\times r\times \frac{3}{2} }{100}

$26.25\times 100 =500\times r\times \frac{3}{2}

$2625 =250\times r\times 3

$2625 =750\times r

$\Rightarrow r=\frac{2625}{750}

⇒ r = 3.5%

Hence the annual interest rate is 3.5%.

8 0
3 years ago
What one was c because all them look alike but different solutions
ElenaW [278]
I don't know what c you are talking about because there is no picture
4 0
4 years ago
Find the area of the parallelogram WXZY shown below. 12 cm, p 10 cm
Kitty [74]

Answer:

Step-by-step explanation:

To find the area of a parallelogram you simply have to multiply one side by the other side. If the parallelogram was a 12 by 10 then the area would be 120. The area for a parallelogram is Base x Height. Hope this helps in some way :)

6 0
3 years ago
A number cube is rolled. Find the Probability. (4 or 5)​
nikklg [1K]

Answer: 2/6 or 33%

Step-by-step explanation: Hope this helps <3

6 0
3 years ago
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