Answer:
-sinx
Step-by-step explanation:
a trig identity that is crucial to solving this problem is: sin^2 + cos^2 = 1
with knowing that, you can manipulate that and turn it into 1 - sin^2x = cos^x
so 1-sin^2x/sinx - cscx becomes cos^2x/sinx - cscx
it is also important to know that cscx is the same thing as 1/sinx
knowing this information, cscx can be replaced with 1/sinx
(cos^2x)/(sinx - 1/sinx)
now sinx and 1/sinx do not have the same denominator, so we need to multiply top and bottom of sinx by sinx; it becomes....
cos^2x
---------------------
(sin^2x - 1)/sinx
notice how in the denominator it has sin^2x-1 which is equal to -cos^2x
so now it becomes:
cos^2x
--------------
-cos^2x/sinx
because we have a fraction over a fraction, we need to flip it
cos^2x sinx
---------- * ----------------
1 - cos^2x
because the cos^2x can cancel out, it becomes 1
now the answer is -sinx
Parentheses
Exponents
Multiply/Divide
Add/Subtract
To find the total distance, Divide distance already walked by percentage:
8 / 0.55 = 14.55 km
She already walked 8 so now subtract:
14.55 - 8 = 6.55 km left to walk
Answer:
A line that passes through (3, -8) and (7,-2).
Denote equation of that line: y = ax + b
=> Slope a can be directly determined by:
a = (7 - 3)/(-2 - -8) = 4/6 = 2/3
=> y = (2/3)x + b
This line passes (3, -8), then: -8 = (2/3)*3 + b => -8 = 2 + b => b = -10
=> y =(2/3)x - 10
There are other ways to find equation of line.
Hope this helps!
:)
Answer:the area is = the length*the width
2x^2-11x+15= (2x-5)* the width
you have to divide 2x^2 - 11 x + 15 at 2x-5
2x^2-11x+15 | 2x-5
-2x*2+5x x-3
-------------
/ -6x+15
+6x-15
-----------------
/ /
the answer is X-3
Step-by-step explanation: