Answer:
xsin∅
Step-by-step explanation:
If the ladder is <em>x foot long</em>, and it can safely make a <em>maximum angle ∅</em> with the floor, then, the maximum height it can reach will be xsin∅
Question
x+5/x+2 - x+1/x²+2x
Answer:
= (x² - 4x - 1)/[x (x+2)]
= (x² - 4x - 1)/[x² + 2x]
Step-by-step explanation:
x + 5/x + 2 - x + 1/x² + 2x
We factorise the second denominator to give us :
x + 5/x + 2 - x + 1/x(x + 2)
We find the L.C.M of both denominators which is x(x+2).
[x(x + 5)-(x + 1)] / (x (x + 2))
Expand the bracket
=[x² +5x - x -1] / [x (x + 2)]
=(x² - 4x - 1) / [x (x + 2)]
= (x² - 4x - 1)/ [x (x + 2)]
= (x² - 4x - 1) / [x² + 2x]
The correct answer is a
(X+1)^2 - x^2=23
X^2 + 2x + 1 -x^2 =23
2x +1 =23
2x =22
X= 11
X+1= 12
Answer:
7.125 feet
Step-by-step explanation:
1. convert both fractions to decimals by dividing numerator by denominator
10 1/2 = 10.5
3 3/8 = 3.375
2. Subtract 10.5-3.375 = 7.125 feet left
The two ys must be the same. Equate the two right hand sides.
-x + 10 = x + 2 add x to both sides.
10 = x + x + 2
10 = 2x + 2 Subtract 2 from both sides.
8 = 2x Divide by 2
x = 8/2
x = 4
Now solve for y
y = x + 2
y = 4 + 2
y = 6
Use the other equation to check it.
y = - x + 10
y = -4 + 10
y = 6