Answer:

Step-by-step explanation:
You can solve this equation with the quadratic formula which is:

All you need to do is rearrange the equation (add
to both sides and then multiply both sides by 2) to get:

From this new equation, we can easily see that a = 2, b = -5, and c = 11 AND you don't have to work with as many fractions. Substitute the values for a, b, and c into the quadratic formula to get:

That simplifies to:

Which simplifies even further to:

Which gets you:

P.S. The plus-minus sign wasn't working for me, so I had to just write, "+or-". I hope that didn't make it too confusing for you.
P.P.S. Hope this helps :) Don't forget to mark Brainliest if it did.
Hi so this I how I got my answer hope this helps
Answer:
Base 5
Step-by-step explanation:
We want to determine the base at which:
113 X 2 =231
We consider the last number of the result (231).
The base must be a number such that:
3 X 2 will have a remainder of 1.
3 X 2 = 6 = 5 Remainder 1
Therefore:
113 X 2 =231 in positive integral number base 5.
Answer:
They run at the same speed
Step-by-step explanation:
First, you have to find a way seeing how fast both animals run in the same amount of time. You can find out how fast they both run in one second.
60 feet in 6 seconds is how many feet in one second? Well, you can do 60/6 (60 divided by 6) and you will see that in one second, the cheetah can run 10 feet
100 feet in 10 seconds is how many feet in one second? Same thing, you can do 100/10 (100 divided by 10) and you will see that the gazelle can run 10 feet in one second.
Finally, you compare the two answers from the two animals. For the cheetah, we learned that it can run 10 feet in one second, and for the gazelle, we learned that it can run 10 feet in one second. So, we know that they run at the same speed.
Thank you! Please let me know if this was helpful!
Answer:
The diameter of the pond is 38 m.
The radius of the pond is 19 m.
The area of the pond is 361 m^2.
Step-by-step explanation:
We know that the circumference C of a circle is equal to

In this case, C is equal to 120 m.
The diameter is then:

Rounded to the nearest whole number, the diameter is D=38 metres.
The radius is equal to half the diameter, so the radius of this pond is R=19 metres.

The area can be calculated from the radius as:

The area is 361 m^2