The center of the circle is (5,3)
75 42
----- -----
100 x
75 x= 4200
--- ------
75 75
x = 56
Answer:6x*4
Step-by-step explanation:
(12-6)x(16-12)
6x*4
Answer:
The distance from point A to the top of the building is 5
feet
The Height of the Skyscraper is 5 feet
Step-by-step explanation:
Given
Let Top point of building be point C
Also Let Base of the building be point B
Distance from point A to base B of the building AB= 5 feet
∴ It makes a Right angle triangle
Also ∠ACB = 45°
Also tan 45° = 1
Now tan ∠ACB =
∴ AB= BC =5 feet
The Height of the Skyscraper is 5 feet
Now Triangle ABC is right angle triangle with right angled at B
So by Pythagoras theorem
AC= 
The distance from point A to the top of the building is 5 feet
Answer:
(n-2) • (4n+3)
Step-by-step explanation:
4n2-5n-6
Final result :
(n - 2) • (4n + 3)
Step by step solution :
Step 1 :
Equation at the end of step 1 :
(22n2 - 5n) - 6
Step 2 :
Trying to factor by splitting the middle term
2.1 Factoring 4n2-5n-6
The first term is, 4n2 its coefficient is 4 .
The middle term is, -5n its coefficient is -5 .
The last term, "the constant", is -6
Step-1 : Multiply the coefficient of the first term by the constant 4 • -6 = -24
Step-2 : Find two factors of -24 whose sum equals the coefficient of the middle term, which is -5 .
-24 + 1 = -23
-12 + 2 = -10
-8 + 3 = -5 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -8 and 3
4n2 - 8n + 3n - 6
Step-4 : Add up the first 2 terms, pulling out like factors :
4n • (n-2)
Add up the last 2 terms, pulling out common factors :
3 • (n-2)
Step-5 : Add up the four terms of step 4 :
(4n+3) • (n-2)
Which is the desired factorization
Final result :
(n - 2) • (4n + 3)
