Answer:
The solution region is x < –5 and x > 2
Step-by-step explanation:
We are given the inequalities, 2x–2 < –12 or 2x+3 > 7
Upon simplifying the inequalities, we get,
A. 
i.e.
i.e. 
B. 
i.e.
i.e. 
So, we get the solution is
or
and the plotted region can be seen below.
Cascading Style Sheets, a sheet language used to describe a made up language like HTML, how it's put on paper.
The distance d is 9 ft and the height is 12ft.
<h3>
How to find the distance and the height?</h3>
Here we can model the situation with a right triangle, where the length of the wire is the hypotenuse.
The height is one cathetus and the distance is the other catheti.
Let's define:
- h = height
- d = distance.
- hypotenuse = 15ft
We know that the height of the tower is 3 ft larger than the distance, then:
h = d + 3ft
Now we can use the Pythagorean theorem, it says that the sum of the squares of the cathetus is equal to the square of the hypotenuse.
Then:

Now we can solve this equation for d:

Then the solutions are:

We only take the positive solution:
d = (-3ft + 21ft)/2 = 9ft
And the height is 3 ft more than that, so:
h = 9ft + 3ft = 12ft
The distance d is 9 ft and the height is 12ft.
If you want to learn more about right triangles:
brainly.com/question/2217700
#SPJ1
Answer:
the yield is 7.68%
Step-by-step explanation:
The calculation of the yield is given below:
we know that
Yield is
= Annual dividend ÷ Price per share
= $4.15 ÷ $54
= 7.68%
Here we divide the annual dividend by the price per share in order to determine the yield
hence, the yield is 7.68%
And, the same would be considered
Hopefully you understand this
Scientifc notation is used to make very large decimal number less longer.
so, an example
0.0043, quite a long decimal, right?
You need to create a number through 1-10. so would be to move 3 places
4.3,
Since the spaces we took where 3
we have a 10 with the expoent of negative 3. This is so if you do the problem it will go back to it's orgnally state the decimal was at. ( so you'll know if you did something wrong)
so if should look like this but almost,
=4.3x10(noted there is an -3 exponet on 10)
Hopes this helps!