Answer:
the subtraction
Step-by-step explanation:
Answer: 7.07 miles
Step-by-step explanation:
Hi, to answer this, first, we have to find the length of the square dog pen.
Perimeter of a square = 4 x sides
Replacing with the value given:
20 = 4 s
Solving for s:
20/4=s
Side = 5 meters
Since the situation forms a right triangle (see attachment) we have to apply the Pythagorean Theorem:
c^2 = a^2 + b^2
Where c is the hypotenuse of the triangle (in this case length of the diagonal) and a and b are the other sides.
Replacing with the values given:
c^2 = 5^2 + 5^2
c^2 = 25+25
c^2 = 50
c = √50
c = 7.07 miles
Feel free to ask for more if needed or if you did not understand something.
Answer:
a)
We know that:
a, b > 0
a < b
With this, we want to prove that a^2 < b^2
Well, we start with:
a < b
If we multiply both sides by a, we get:
a*a < b*a
a^2 < b*a
now let's go back to the initial inequality.
a < b
if we now multiply both sides by b, we get:
a*b < b*b
a*b < b^2
Then we have the two inequalities:
a^2 < b*a
a*b < b^2
a*b = b*a
Then we can rewrite this as:
a^2 < b*a < b^2
This means that:
a^2 < b^2
b) Now we know that a.b > 0, and a^2 < b^2
With this, we want to prove that a < b
So let's start with:
a^2 < b^2
only with this, we can know that a*b will be between these two numbers.
Then:
a^2 < a*b < b^2
Now just divide all the sides by a or b.
if we divide all of them by a, we get:
a^2/a < a*b/a < b^2/a
a < b < b^2/a
In the first part, we have a < b, this is what we wanted to get.
Another way can be:
a^2 < b^2
divide both sides by a^2
1 < b^2/a^2
Let's apply the square root in both sides:
√1 < √( b^2/a^2)
1 < b/a
Now we multiply both sides by a:
a < b
Answer:
a is the right answer I calculated it
In this item, we are given with the equation f(x) = 5 - x where f(x) is the amount of money left, 5 is the amount as stated in the gift card and 1 is the cost per music download.
The number of songs purchased and the amount left are listed below.
number of songs: amount of money left
0 : 5
1 : 4
2 : 3
3 : 2
4 : 1
5 : 0
