Let x=distance of foot of ladder from the wall, then
x+2=height of top of ladder up the wall.
length of ladder = 16 feet.
Using Pythagoras theorem,
x^2+(x+2)^2=16^2, expand and simplify
2x^2+4x+4 = 256 again simplify
x^2+2x-126=0 [fail to factor]
apply quadratic equation:
x=(-2+/-sqrt(4+504))/2
=-1+/-sqrt(127)
x=-12.3 (rejected) or
x=10.27 feet from wall.
The factored form would be (3x-9)(x-1)
The picture should help a bit
Answer:
Step-by-step explanation:
take 20 degree as reference angle
using sin rule
sin 20=opposite/hypotenuse
0.34=3/x
x=3/0.34
x=8.82
x=8.8
Answer:
The first increase was of 60%.
Step-by-step explanation:
The initial value of the product is x.
The first increase was of y.
The second increase is of 25%, that is, 1.25.
The final price was double the original, so 2x.
This situation can be modeled by the following equation:
We want to find y.
Simplifying by x
After the first increase, the value was 1.6 of the original value, that is a increase as a percent of (1.6 - 1)*100 = 60%.
Answer:
x2-30x-21=0
Step-by-step explanation:
x =(30-√984)/2=15-√ 246 = -0.684
x =(30+√984)/2=15+√ 246 = 30.684
