Let the time = x
Distance = Speed x time
One train is 75x, the other train 85x
Add together to equal total distance:
75x + 85x = 384
Simplify:
160x = 384
Divide both sides by 160:
x = 384 / 160
x = 2.4 hours
P = 25h + 600.
This is because even if he works no overtime, he still gets his 600.
A. x = -1; x = 3
B. x = 5; x = -4
C. x = -1; x = 4
D. x = -6; x = 4
: Hope this helps :)
Answer:
Step-by-step explanation:
Given
sinΘ = 
= 
Then the hypotenuse = 5 and one leg of the right triangle is 3
Using Pythagoras' identity to find the second leg (x)
x² + 3² = 5²
x² + 9 = 25 ( subtract 9 from both sides )
x² = 16 ⇒ x = 4
cosΘ = 
=
Answer:
Step-by-step explanation:
<u><em>(1).</em></u> (x - <em>h</em>)² + (y - <em>k</em>)² = <em>r</em>²
where <em>(h, k)</em> are coordinates of a center of the circle with radius <em>r</em>
<u><em>(2).</em></u> ( a ± b )² = a² ± 2ab + b²
~~~~~~~~~~~~~~
( 1 , - 2 ) ; r = 3
( x - 1 )² + ( y + 2 )² = 3²
x² - 2x + 1 + y² + 4y + 4 = 9
x² + y² - 2x + 4y - 4 = 0
a = - 2
b = 4
c = - 4
