Answer:
172 ft
Step-by-step explanation:
Due south and due east form a 90-degree angle.
Her path is a right triangle. The 60 ft and 40 ft distances are the legs of the right triangle. We can use the Pythagorean theorem to find the hypotenuse. Then we add the lengths of the three sides to find the total distance she traveled which is the perimeter of the right triangle.
a^2 + b^2 = c^2
(40 ft)^2 + (60 ft)^2 = c^2
1600 ft^2 + 3600 ft^2 = c^2
c^2 = 5200 ft^2
c = 72 ft
perimeter = a + b + c = 40 ft + 60 ft + 72 ft = 172 ft
Answer:
1. 1/2(x - 3)³
2. 3x/y²
Step-by-step explanation:
1. to simplify, we could just FOIL the equations out, but since this is a division, we can cancel out any common factors in the numerator and the denominator to make it easier
2(x - 3)³
----------
4(x- 3)^6
what do these two have in common? both have a (x - 3)³ to start off, so we can cancel out the (x - 3)³ in the numerator, and take the diference in the denominator which gives us (x - 3)³
2(x - 3)³ / (x - 3)³ = 2
4(x - 3)^6 / (x - 3)³ = 4(x - 3)³
so now we have:
2
-----
4(x - 3)³
we can simplify 2/4 and get 1/2 so now we have the following:
1
--------
2(x - 3)³
there is nothing else to simplify, so this is the final answer
2. to solve 8x/y² - 5x/y², we see they both have <em>like denominators</em>, this means that we can just combine the terms over one denominator and we get the following:
8x - 5x
----------
y²
we can subtract 5x from 8x because both have an x in them and are therefore able to be subtracted
8x - 5x = 3
so the final answer is 3x/y²
There are 3 terms in this expression. You can determine this answer by knowing that terms are either a single number or variable or numbers and variables multiplied together. Here's a picture example below:
Hope it helps! Mark as brainliest!
Answer:
Go catipiller
Step-by-step explanation:
