Step-by-step explanation:
Range of the following:
-3,-2,1
Answer:
- A. segment A double prime B double prime = segment AB over 2
Step-by-step explanation:
<u>Triangle ABC with coordinates of:</u>
- A = (-3, 3), B = (1, -3), C = (-3, -3)
<u>Translation (x + 2, y + 0), coordinates will be:</u>
- A' = (-1, 3), B = ( 3, -3), C = (-1, -3)
<u>Dilation by a scale factor of 1/2 from the origin, coordinates will be:</u>
- A'' = (-0.5, 1.5), B'' = (1.5, -1.5), C= (-0.5, -1.5)
<u>Let's find the length of AB and A''B'' using distance formula</u>
- d = √(x2-x1)² + (y2 - y1)²
- AB = √(1-(-3))² + (-3 -3)² = √4²+6² = √16+36 = √52 = 2√13
- A''B'' = √(1.5 - (-0.5)) + (-1.5 - 1.5)² = √2²+3² = √13
<u>We see that </u>
<u>Now the answer options:</u>
A. segment A double prime B double prime = segment AB over 2
B. segment AB = segment A double prime B double prime over 2
- Incorrect. Should be AB = A''B''*2
C. segment AB over segment A double prime B double prime = one half
- Incorrect. Should be AB/A''B'' = 2
D. segment A double prime B double prime over segment AB = 2
- Incorrect. Should be A''B''/AB = 1/2
The logarithm written as a sum of logarithm and simplified as much as possible is 
<h3>Simplifying Logarithms</h3>
From the question, we are to write the given logarithm expression as a sum or difference of logarithms
The given logarithm is

This can be written as

From one of the rules of logarithm, we have that

Thus,
becomes

This can be further simplified into


If desired, this can be further simplified into




Hence, the logarithm written as a sum of logarithm and simplified as much as possible is 
Learn more on Simplifying logarithms here: brainly.com/question/17851187
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Answer:

mathematicallly error sentence!
Answer:
a) 30
b) 144
c) 4
d) 900
Step-by-step explanation:
a) 6 + 24 = 30
b) 6 * 24 = 144
c) 24 ÷ 6 = 4
d) 