These are 3 questions and 3 answers.
Question 1.
Answer: bot equations have the same potential solutions, but equation A may have extraneous solutions
Explanation:
1) Equation A
Replace x = -4 in the right side of the equation:
Which is not defined, so this is a extraneous solution.
2) Equation B.
Since it is a cube root, it is defined for any (negative, zero, and positive) values of x.
Question 2.
Answer: cubing both sides once.
Explanation:
![\sqrt[3]{5x-2} -\sqrt[3]{4x} =0\\ \\ \sqrt[3]{5x-2} =\sqrt[3]{4x}\\ \\ (\sqrt[3]{5x-2} )^3=(\sqrt[3]{4x})^3\\ \\ 5x-2=4x\\ \\ 5x-4x=2\\ \\ x=2](https://tex.z-dn.net/?f=%20%5Csqrt%5B3%5D%7B5x-2%7D%20-%5Csqrt%5B3%5D%7B4x%7D%20%3D0%5C%5C%20%5C%5C%20%20%5Csqrt%5B3%5D%7B5x-2%7D%20%3D%5Csqrt%5B3%5D%7B4x%7D%5C%5C%20%20%5C%5C%20%20%28%5Csqrt%5B3%5D%7B5x-2%7D%20%29%5E3%3D%28%5Csqrt%5B3%5D%7B4x%7D%29%5E3%5C%5C%20%20%5C%5C%20%205x-2%3D4x%5C%5C%20%5C%5C%20%205x-4x%3D2%5C%5C%20%5C%5C%20%20x%3D2%20)
3) Question 3.
Answer: c - 2 = 25 + c + 10√c
Explanation:
Answer:
35/96
Step-by-step explanation:
First we need to know the coordinates of the movie theater, we can do this applying the midpoint formula:
We have that the movie theater is located at (2,4). Now we use this coordinates to find the location of Clara's house using again the midpoint formula:
Therefore, Clara's house is located at (-2,0)
A contraction would make the image smaller.
A negative number reflects the image and changes the size based on the number.
To make an image smaller the factor needs to be less than 1
so -0.5 and 0.5 would make the image smaller since 0.5 is less than 1.
