The formula for the equation of a circle is:
(x - h)^2 + (y - k)^2 = r^2
(h, k) is the center.
So the equation would be:
(x + 2)^2 + (y - 3)^2 = 5^2
or
(x + 2)^2 + (y - 3)^2 = 25
If you know how to solve word problems involving the sum of consecutive even integers, you should be able to easily solve word problems that involve the sum of consecutive odd integers. The key is to have a good grasp of what odd integers are and how consecutive odd integers can be represented.
Odd Integers
If you recall, an even integer is always 22 times a number. Thus, the general form of an even number is n=2kn=2k, where kk is an integer.
So what does it mean when we say that an integer is odd? Well, it means that it’s one less or one more than an even number. In other words, odd integers are one unit less or one unit more of an even number.
Therefore, the general form of an odd integer can be expressed as nn is n=2k-1n=2k−1 or n=2k+1n=2k+1, where kk is an integer.
Observe that if you’re given an even integer, that even integer is always in between two odd integers. For instance, the even integer 44 is between 33 and 55.
Answer:
9 gallons of water per minute
Step-by-step explanation:
First identify what you know:
1) The pipe was flowing water for eight minutes.
2) In that eight minutes, 72 gallons of water came out.
So, if 72 gallons of water came out in eight minutes, how many gallons flowed out in a single minute? Well, assuming that the flow rate was consistent, then simply divide the total number of gallons that flowed out, by the number of minutes the pipe was open!
72/8 = 9
The pipe released 9 gallons of water per minute, thus resulting in 72 gallons of water in 8 minutes!
Hope this helps! :)
Answer:
2.8 cm
Step-by-step explanation:
The area of a trapezoid is calculated using the formula:
where
B is the length of the major base
b is the length of the minor base
h is the height of the trapezoid
In this problem, the glass window has the shape of a trapezoid. We know that:
B = 2 cm is the length of the top base
b = 4.5 cm is the length of the bottom base
is the area of the trapezoid
Solving for h, we can find the height of the stained glass window:
