Y = 2x - 3 . . . (1)
y = -2x + 5 . . . (2)
Equating (1) and (2),
2x - 3 = -2x + 5
2x + 2x = 5 + 3
4x = 8
x = 8/4 = 2
x = 2
y = 2(2) - 3 = 4 - 3 = 1
y = 1
Solution = (2, 1)
She added the numerators
instead of multiplying them
you should also simplify the final answer
the correct answer would be -3 1/8 or -25/8 as an improper fraction.
<h2>
Hello!</h2>
The answer is:
The total area is:

<h2>
Why?</h2>
To find the cloasest value to the total surface area that will be painted, we need to calculate the area of a single sphere, and then, multiply it by 5.
We know that the diameter of each sphere is 7 centimeters, so, calculating we have:
Calculating the radius we have,

Then, calculating the area, we have:


Now that we have calculated the surface area of a single sphere, we need to calculate the area of the five spheres.
So, calculating we have:

Hence, the total area is:

Have a nice day!
Answer:
First, let's recall some usefull information:
- cot(x) = 1/tg(x) = cos(x)/sin(x)
- tan(x) = sin(x)/cos(x)
We also know that:
- cos(x - pi/2) = sin(x)
- sin(x - pi/2) = -cos(x)
Now we can use those relationships and get:
cot(x - pi/2) = cos(x - pi/2)/sin(x -pi/2) = sin(x)/-cos(x) = -tan(x)
So we have verified the identity, and explained step by step why the identity is true.