Remember you can do anything to an equation as long as you do it to both sides
8-(3+b)=b-9
remember the distributive property
a(b+c)=ab+ac
distribute that invisible -1
-(3+b)=-1(3+b)=-1(3)-1(b)=-3-b
8-3-b=b-9
add like terms
5-b=b-9
add b to both sides
5=2b-9
add 9 to both sides
14=2b
divide both sides by 2
7=b
b=7
Answer:
Part A:
In order to find a coterminal angle, or angles of the given angle, simply add or subtract 360 degrees of the terminal angle as many times as possible.
Part B:Simply put, coterminal angles start at 0° and end at the same place, though in different directions and multiple times around (you're probably going to want to make that sound a little more formal). Since each time around is 360°, boom
Part C: 75° is in Quadrant II, right? If I go one more time around, 75 + 360 = 435°. I can also go "backward. Starting at 0 and going clockwise, I'm going 75 fewer degrees than all the way around, so 360-75 = 285° but since I'm going "backward" 75 - 360 = -285°. One more is on you.
Step-by-step explanation:
Let x = cost of one skirt
Let y = cost of one coat.
We need to construct a system of equations to help us solve this problem.
Lily: $452.62 = 6x + 5y
Sis: $289.36 = 3x + 5y.
Let's solve this by elimination. Multiply the second equation by -1
Lily: $452.62 = 6x + 5y
Sis: -$289.36 = -3x + -5y. Add the equations together.
$163.26 = 3x. Divide each side by 3.
$54.42 = x. Plug this into one of our original equations.
$452.62 = 6(54.42) + 5y. Multiply 6 by 54.42
$452.62 = 326.52 + 5y. Subtract 326.52 from each side.
$126.1 = 5y. Divide each side by 5
$25.22 = y.
One coat costs $25.22
B. long term goal .......................
You need to get y alone for both equations. for x-y=7, you subract x from both sides. (giving you -y = 7 - x) then, multiply the whole equation by -1 to make the y positive, which gives you y = x - 7.
here is the system in y intercept form so you can graph it easier:
*y = x - 7
*y = x + 4
