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
90/12 = 7.5
Hope I helped!
~ Zoe
Answer:

Step-by-step explanation:
Remember:
![(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2](https://tex.z-dn.net/?f=%28%5Csqrt%5Bn%5D%7Ba%7D%29%5En%3Da%5C%5C%5C%5C%28a%2Bb%29%3Da%5E2%2B2ab%2Bb%5E2)
Given the equation
, you need to solve for the variable "x" to find its value.
You need to square both sides of the equation:


Simplifying, you get:

Factor the quadratic equation. Find two numbers whose sum be 7 and whose product be -8. These are: -1 and 8:

Then:

Let's check if the first solution is correct:

(It checks)
Let's check if the second solution is correct:

(It does not checks)
Therefore, the solution is:

The answer to this question is C I just worked it out on paper using a calculator
The human ran 0.45 miles per minute.
27 divided by 60 = 0.45
The 60 is the number of seconds in a minute.
Hope this helped! :)