Answer: 53° 27' 5"
<u>Step-by-step explanation:</u>
20° 15' 18"
30° 41' 32"
+ <u> 2° 30' 15"</u>
52° 86' 65"
= 52° 1° 26' 1' 5"
= 53° 27' 5"
Answer:
3(a - b)(a + b)
Step-by-step explanation:
Factorize: (2a - b)² - (a - 2b)²
- Different of Perfect a Square rule: a² - b² = (a + b)(a - b)
(2a - b)² - (a - 2b)² = [(2a - b) + (a - 2b)] × [(2a - b) - (a - 2b)]
1. Distribute and Simplify:
Distribute the (+) sign on the first bracket and simplify: [(2a - b) + (a - 2b)] → 2a - b + a - 2b → (3a - 3b)
Distribute the (-) sign on the first bracket and simplify: [(2a - b) - (a - 2b)] → 2a - b – a + 2b → (a + b)
We now have:
(3a - 3b)(a + b)
2. Factor out the Greatest Common Factor (3) from 3a - 3b:
(3a - 3b) → 3(a - b)
3. Add "(a + b)" back into your factored expression:
3(a - b)(a + b)
Hope this helps!
Since it is a translation, all points are translated over the same distance so the answer for CC' is the same as for DD'.
D travels 4 horizontally and 3 vertically, and the distance is sqrt (4*4+3*3)=sqrt (25)=5.
<span>The solution would be like
this for this specific problem:
Given: </span> 5 m
34° angle of depression
<span>
(5 m) cot(34°) = 7.4 m</span>
The turtle is 7.4m far from the base of the Sherri’s building. <span>
I hope this helps and if you have any further questions, please don’t hesitate
to ask again. </span>
Answer:
m=-4k + 3f -7
Step-by-step explanation:
-5m = 20k - 15f + 35
Divide both sides by -5
![\dfrac{-5m}{-5}= \dfrac{20k-15f+35}{-5}\\\\m= \dfrac{20k}{-5}- \dfrac{15f}{-5}+ \dfrac{35}{-5}\\\\m=-4k+3f-7](https://tex.z-dn.net/?f=%5Cdfrac%7B-5m%7D%7B-5%7D%3D%20%5Cdfrac%7B20k-15f%2B35%7D%7B-5%7D%5C%5C%5C%5Cm%3D%20%5Cdfrac%7B20k%7D%7B-5%7D-%20%5Cdfrac%7B15f%7D%7B-5%7D%2B%20%5Cdfrac%7B35%7D%7B-5%7D%5C%5C%5C%5Cm%3D-4k%2B3f-7)