Answer:
3,500 people
Step-by-step explanation:
10% of 35,000 is the same as .10 × 35,000, or 3,500.
Answer:
The lines blue and green are perpendicular
Step-by-step explanation:
we know that
If two lines are perpendicular, then their slopes are opposite reciprocal (the product of their slopes is -1)
The formula to calculate the slope between two points is equal to

step 1
Find the slope of the blue line
we have the points
(-1,-3) and (0,3)
substitute


step 2
Find the slope of the red line
we have the points
(3,-3) and (4,2)
substitute


step 3
Find the slope of the green line
we have the points
(-4,-1) and (2,-2)
substitute


step 4
Compare the slopes
Blue line ----> 
Red line ----. 
Green line ---> 
so
The slope of the blue line and the green line are opposite reciprocal ( their product is equal to -1)
therefore
The lines blue and green are perpendicular
Answer:
8√13 units
Step-by-step explanation:
We use the distance formula.
The distance formula states that the distance between two points (x, y) and (a, b) is equal to:
d = 
Here, x = 6, y = -1, a = -18, and b = 15. Plug these in:
d = 
d =
= 8√13
The answer is thus 8√13 units.
<em>~ an aesthetics lover</em>
Answer:
x: work a woman can do in 1 day
y: work a girl can do in 1 day
Then
2x + 7y =1/4
4x + 4y =1/3
4x + 14y =2/4 (1)
4x + 4y =1/3 (2)
=> Let (1) - (2), 10y =2/4-1/3 <=>10y = 1/6 <=> y = 1/(6x10) = 1/60 (work)
=> From (2),4x = 1/3 - 4x1/60 => 4x = 16/60 => x = 4/60 (work)
=> 1 day, a woman and a girl can do: 1/60+4/60 = 5/60 =1/12 (work)
Then, the day required for a woman and a girl to complete work: 12 days