<h2>
Hello!</h2>
The answer is:
a) Her reasoning is incorrect, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

<h2>
Why?</h2>
To solve the problem, we need to remember the following property of square roots:

We are given the expression:

We can rewrite it by the following way:

Now, applying the square root property we have:

Therefore,
a) Her reasoning was wrong, she applied a wrong operation, the way to simplify the expression was using the square root property. If we want to extract a number of a square root, we must square that number first in order not to modify the expression.
b) We have that:

and rounding to the nearest tenth, we have that:

Have a nice day!
Answer:
(-1, -2)
Step-by-step explanation:
-9x= 5 - 2y
15x = -11 + 2y => 2y = -11 - 15x
Plug the value for 2y into the first equation.
-9x = 5 - 15x - 11. Solve for x.
-9x = -6 - 15x.
-9x + 15x = -6.
6x = -6.
x = -1.
Now that we found x, we will solve for y.
2y = -11 - 15(-1)
2y = -11 + 15
2y = -4
y = -2.
Thus, our solution set is (-1, -2).
Hope this helps!
Answer:
g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))
Please see attached image
Step-by-step explanation:
We can easily solve this equation by using a technical solver or a programming language such as Octave.
The linear factorization of the equation can be obtained directly by finding the zeros of g(x)
Please see attached images for the answer to your problem
g(x)= (x-(1+2i)) * (x-(1-2i)) * (x-(3-i)) * (x-(3+i))
A idk if that right but I slow so
Height of building =60 feet (where woman is trapped)
distance of bottom of ladder from base of building = 40 feet
This makes a right angled triangle as shown in figure.
here hypotenuse =length of ladder
base = distance of bottom of ladder from base of building = 40 feet
perpendicular =Height of building =60 feet (where woman is trapped)
So here we can use Pythagoras theorem to find the length of ladder.
Hypotenuse² = base² + perpendicular²
height of ladder = √(60² +(40)² = √3600 +1600 = √5200
height of ladder = 72.1 feet