No, it never can be a right triangle.
First, all the angles of an equilateral triangle is 60 degrees because all angles are the same and all the angles add up to 180:
180/3 = 60.
So if it is a right angle it needs one angle 90 degrees which an equilateral triangle can't have,
Answer:
5/4
Step-by-step explanation:
Answer:
LEts start with 10^1
If we have positive exponent then we add zeros
10^1= 10
(Put 2 zeros because exponent is 2)
(Put 3 zeros because exponent is 3)
(Put 4 zeros because exponent is 4)
(Put 5 zeros because exponent is 5)
For negative exponent , we make a fraction . we put 1 at the top always and number as the bottom
(Put 1 zero at the bottom because exponent is -1)
(Put 2 zeros at the bottom because exponent is -2)
(Put 3 zeros at the bottom because exponent is -3)
Answer:
![15.75x^{10}y^{19}](https://tex.z-dn.net/?f=15.75x%5E%7B10%7Dy%5E%7B19%7D)
Step-by-step explanation:
To find the 5th term in the expansion, we first will need to apply the binomial theorem. I have attached an image of the binomial theorem formula due to not being able to type it.
After applying the binomial theorem and simplifying, you should get:
![512x^{18}y^{27}-576x^{16}y^{25}+288x^{14}y^{23}-84x^{12}y^{21}+\frac{63x^{10}y^{19}}{4}-\frac{63x^8y^{17}}{32}+\frac{21x^6y^{15}}{128}-\frac{9x^4y^{13}}{1024}+\frac{9x^2y^{11}}{32768}-\frac{y^9}{262144}](https://tex.z-dn.net/?f=512x%5E%7B18%7Dy%5E%7B27%7D-576x%5E%7B16%7Dy%5E%7B25%7D%2B288x%5E%7B14%7Dy%5E%7B23%7D-84x%5E%7B12%7Dy%5E%7B21%7D%2B%5Cfrac%7B63x%5E%7B10%7Dy%5E%7B19%7D%7D%7B4%7D-%5Cfrac%7B63x%5E8y%5E%7B17%7D%7D%7B32%7D%2B%5Cfrac%7B21x%5E6y%5E%7B15%7D%7D%7B128%7D-%5Cfrac%7B9x%5E4y%5E%7B13%7D%7D%7B1024%7D%2B%5Cfrac%7B9x%5E2y%5E%7B11%7D%7D%7B32768%7D-%5Cfrac%7By%5E9%7D%7B262144%7D)
Our 5th term here is:
which is equal to ![15.75x^{10}y^{19}](https://tex.z-dn.net/?f=15.75x%5E%7B10%7Dy%5E%7B19%7D)
~Hope this helps! Sorry if my answer is confusing at all, it's pretty difficult to explain.~
An equation that correctly represent this relationship if x represents the number of pounds of fertilizer and y the number of ounces of weed killer is 0.5x + 3.5y = 70
<u>Solution:</u>
Given that, Bill spent 70 on fertilizer and weed killer for his lawn
Each pound of fertilizer cost 50 cents and each once of weed killer cost 3.50
We have to write an equation, if x represents the number of pounds of fertilizer and y the number of ounces of weed killer.
Now,<em> total amount = amount for fertilizers + amount for weed killers.</em>
Total amount = number of pounds of fertilizers x cost per pound + number of ounces of weed killer x cost per ounce.
![\begin{array}{l}{\rightarrow 70=x \times 0.50+y \times 3.50} \\\\ {\rightarrow 0.5 x+3.5 y=70}\end{array}](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7Bl%7D%7B%5Crightarrow%2070%3Dx%20%5Ctimes%200.50%2By%20%5Ctimes%203.50%7D%20%5C%5C%5C%5C%20%7B%5Crightarrow%200.5%20x%2B3.5%20y%3D70%7D%5Cend%7Barray%7D)
Hence, the equation is 0.5x + 3.5y = 70