A "perfect square" is an integer that is the square of an integer.
The largest 6-digit integer is 999,999.
The square root of it is 999.9995
So the greatest square of an integer is the square of 999 = <u>998,001</u> .
Answer:
250 ft.
Step-by-step explanation:
It seems that you are learning the side-splitter theorem right now. If a line is parallel to one side of the triangle and intersects the other two sides, it divides the side proportionally. From the picture we can tell that the streets are parallel, with a line of intersection. Therefore, we can create the following equation of proportionality:

Now that we have this equation, we can use the <u>butterfly method</u> to solve for x. We <u>cross multiply</u>:

Now, all we have to do is <u>isolate</u> the variable to find x:

Therefore, the distance of Orange Ave between the 3rd St. and 4th St. is 250 ft.
<em>I hope this helps! Please let me know if you have any further questions :)</em>
Assuming that an exponentiation sign is missing, all you need to know is that rational exponents work like this:
![a^{\frac{b}{c}}=\sqrt[c]{a^b}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bb%7D%7Bc%7D%7D%3D%5Csqrt%5Bc%5D%7Ba%5Eb%7D)
So, you have

And similarly,
![81^{\frac{7}{4}}=\sqrt[4]{25^7}=\sqrt[4]{(3^4)^7}=3^7](https://tex.z-dn.net/?f=81%5E%7B%5Cfrac%7B7%7D%7B4%7D%7D%3D%5Csqrt%5B4%5D%7B25%5E7%7D%3D%5Csqrt%5B4%5D%7B%283%5E4%29%5E7%7D%3D3%5E7)
Answer:
p(1/2) = 5
Step-by-step explanation:
Find the value of p(1/2) if p(x) = 2x^3 -x^2 + 10x
Set up synthetic div.:
1/2 ) 2 -1 10 0
1 0 5
------------------------
2 0 10 5
The remainder is 5, so we conclude that p(x) = 2x^3 -x^2 + 10x = 5 when x = 1/2.
Using his hose, Enzo will need 15 minutes to fill a pool that starts out empty.