ANSWER
EXPLANATION
To find the expression that is equivalent to
we must first expand
Then we rearrange to find the required expression.
So let's get started.
We expand the parenthesis on the right hand side to get,
We expand again to obtain,
Let us group the cubed terms on the right hand side to get,
We make the cubed terms the subject,
We factor to get,
We expand the bracket on the left hand side to get,
We finally simplify to get,
<h3>
Answer: 35.54 degrees</h3>
How I got this answer:
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 5/7
A = arctan(5/7) .... apply the inverse tangent, same as arctangent
A = 35.5376778 ... make sure your calculator is in degree mode
A = 35.54 .... rounding to two decimal places
y = - x - 1
the equation of a line in slope-intercept form is
y = mx + c ( m is the slope and c the y-intercept )
rearrange - 7x + 5y = 12 into this form
add 7x to both sides
5y = 7x + 12 ( divide all terms by 5 )
y = x + ← in slope- intercept form
with slope m =
given a line with slope m then the slope of a line perpendicular to it is
perpendicular slope = - = -
The partial equation of the perpendicular line is
y = - x + c
to find c substitute (- 7, 4 ) into the partial equation
4 = 5 + c ⇒ c = 4 - 5 = - 1
y = - x - 1 ← in slope- intercept form
First you need to know that 6% =0.06
Then multiply 175* 0.06=x
x=10.50
then subtract 175-10.50=y
y=164.50.
So the new plane ticket will cost you 164.50