In the given question we can see that the information,Georgina ran a distance of 3/8 mile in 3 minutes is already provided.
So
In 3 minutes Georgina can run a distance of = 3/8 miles
Then In 1 minute Georgina can run a distance of = 3/(8 * 3) miles
= 3/24 miles
= 1/8 miles.
So it can be said now that in 1 minute the distance that
Georgina can cover is 1/8 miles. If required it can be converted to decimal
value as well.
A(−3,−2), B(−2,2), C(2,−2)
The orthocenter is the meet of the altitudes. We see AC is parallel to the x axis so the perpendicular 
is the altitude through B.
Between A and B we have slope (2 - -2)/(-2 - -3) = 4 so perpendicular slope -1/4 through C(2,-2):
For the y coordinate of the orthocenter we substitute in x=-2.
So the orthocenter is (x,y)=(-2,-1)
Answer: (-2,-1)
2/18
3/27
4/36
5/45
6/54
Take any number let's say 9
Then 9/9 = 1
Or 9/9 = 1/1
Then if you multiply the bottom half of those by 9, you get
9/9 becomes 9/81
and
1/1 becomes 1/9
So to generate any fraction equivalent to 1/9
take any number and write it as one, i.e. 5/5 = 1 (or 1/1)
and then multiply the bottom part by 9 = 5/45
<h3>Answer: Choice C</h3>
- domain = (-infinity, infinity)
- range = (-infinity, 0)
- horizontal asymptote is y = 0
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Explanation:
Since no division by zero errors are possible, and other domain restricting events are possible, we can plug in any x value we want. This means the domain is the set of all real numbers. Representing this in interval notation would be (-infinity, infinity).
The range is the set of negative real numbers, which when written in interval notation would be (-infinity, 0). This is because y = 5^x has a range of positive real numbers, and it flips when we negate the 5^x term. The graph of y = -5^x extends forever downward, and the upper limit is y = 0.
It never reaches y = 0 itself, so this is the horizontal asymptote. Think of it like an electric fence you can get closer to but can't touch.
Hi there!
If Andrea bought 12 bagels and 2/3 were multigrain we can determine what the total amount of bagels that are multigrain by finding a common denominator. We can do this by multiplying 2/3 * 4 which gets us the common denominator we need.
2/3 * 4 <--- Equation
8/12 <--- Simplified from step 1.
Therefore 8 out of the 12 bagels Andrea bought were multigrain!
