X^2+3x=24, halve the linear coefficient, square it, and add it to both sides
In this case (3/2)^2=2.25
x^2+3x+2.25=26.25 now the left side is a perfect square...
(x+1.5)^2=26.25 take the square root of both sides
x+1.5=±√26.25 subtract 1.5 from both sides
x=-1.5±√26.25
x=-1.5-√26.25 and -1.5+√26.25
x≈ -6.62 and 3.62
We manipulate the given equation in order to solve for EC. We do this by cross multiplying.
The resulting equation will be:
EC = (4 x 3)/5
EC = 12/5 = 2.4
Additionally, the side-splitter theorem works for this problem since DE and AC are parallel to each other, therefore splitting the remaining two sides into proportional segments.
If x=3 then the f(x)=4
If x=6 then the f(x)=7
If x=7 then the f(x)=8
Answer: 59.04
Step-by-step explanation:
tan 16= x/200
tan16/1=x/200
200 tan 16=x
x=57.349077...
x=57.349077...
Add 1.69, the distance from the ground to her eye:
57.349077...+1.69=
59.039077...
≈ The skyscraper is 59.04 meters tall.