By Green's theorem,
where 
is the circle 
and 
is the interior of , or the disk 
.
Convert to polar coordinates, taking
Then the work done by 
on the particle is
You can write the two equations x = 4y - 7 and x + y = 93; substitute the value of x into the other equation
(4y - 7) + y = 93; combine like terms
5y - 7 = 93; add 7 to both sides
5y = 100; divide both sides by 5
y = 20; substitute this value into the other equation
x + 20 = 93
x = 73
So the numbers are 20 and 73
Answer:
Brian sold 35 tickets
Step-by-step explanation:
42/6 = 7
7 x 5 = 35
35/42 = 5/6
Brian sold 35 tickets
(I know this isn't part of the question, but Brain didn't sell 7 tickets)
Answer:
Step-by-step explanation:
You have to use Point Slope Form:
- y - Y1 = m (x - X1)
- m is the slope
- Y1 & X1 is a point on the line
- The form allows you to identify the slope & the point on the line
About Problem:
- Since -2/3 is the slope, it represents m in y - Y1 = m (x - X1) form.
- -3 represents X1 in y - Y1 = m (x - X1) form
- -1 represents Y1 in y - Y1 = m (x - X1) form
y - Y1 = m (x - X1)
y - -1 = -2/3 (x - -3) ---- This is in Point Slope Form
If you want to solve it, & put it in Slope Intercept form, it would look like this:
y = mx + b
y = -2/3 - 2 --- This is in Slope intercept Form.... I might've solved it wrong... I'm not sure...
Really really sorry if I'm incorrect...
Answer:
(8a + 3)(a + b + c)
Step-by-step explanation:
8a^2 + 8ab + 8ac + 3a + 3b + 3c =
= 8a(a + b + c) + 3(a + b + c)
= (8a + 3)(a + b + c)
