The distance from the base of the ladder to the way will be given by:
tan θ= opposite/adjacent
θ=70
adjacent=x
opposite=25 ft
thus
tan 70=25/x
thus
x=25/tan 70
hence:
x=9.1 ft
Answer: 9.1 ft
25% decrease because if you multiply 20x.25 you get 5 and you minus the 5 from 20 books and you get 15 books
The answer is #1, #2, and #4
It’s #1 because if you look at a number line -3 is before -4
It’s #2 because it’s less then or equal to and -4 is equal to -4
And lastly it’s #4 because 3 is greater then -4
Hope this helps!!
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
x-(3*x^3+8*x^2+5*x-7)=0
Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms :
4.1 Pull out like factors :
-3x3 - 8x2 - 4x + 7 =
-1 • (3x3 + 8x2 + 4x - 7)
Checking for a perfect cube :
4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube
Trying to factor by pulling out :
4.3 Factoring: 3x3 + 8x2 + 4x - 7
Thoughtfully split the expression at hand into groups, each group having two terms :
Group 1: 3x3 - 7
Group 2: 8x2 + 4x
Pull out from each group separately :
Group 1: (3x3 - 7) • (1)
Group 2: (2x + 1) • (4x)
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Answer:
9
Step-by-step explanation:
7r+18=r²
r²-7r-18=0
factorizing
r²+2r-9r-18=0
r(r+2)-9(r+2=0
(r-9)(r+2)=0
r-9=0
r=9
check
(r²)=(9*9)=81
7r+18=7(9) + 8=81