Answer:
x - intercept = 6
y - intercept = 3
Step-by-step explanation:
To find x - intercept, substitute y = 0 in the equation and solve for x.
x = 6
Similarly, To find y - intercept, substitute x = 0 in the equation and solve for y.
y = 3
42/12 = 3.5, 63/18 = 3.5, therefore we will be multiplying the last time by 3.5. 40x3.5= 140, and therefore, the number of pencils produced in 40 seconds is 140
Answer:
0.05N - 0.1N + 1.7 (in dollars
1.7 - 0.05N (in dollars)
Step-by-step explanation:
Given :
Total number of coins = 17
Number of nickels = N
Number of dimes = 17 - N
1 nickel = 5 cent = $0.05
1 dime = 10 cent = $0.1
The amount of money :
(Value of nickel * number of nickels) + (value of dime * number of dime)
(0.05 * N) + (0.1 * (17-N))
0.05N + 1.7 - 0.1N
0.05N - 0.1N + 1.7
-0.05N + 1.7 = 1.7 - 0.05N
Answer:
Step-by-step explanation:
Vertices of the given quadrilateral are A(-4, 3), B(2, -1), C(2, -5) and D(-4, -1)
Since, slope of a line passing through two points
and
is given by,
Slope = 
Slope of AB = 
= 
Slope of AD = 
= Not defined (Parallel to y-axis)
Slope of DC = 
= 
Slope of BC = 
= Not defined (Parallel to y-axis)
Slope of AB = slope of DC = 
Slope of BC = slope of AD = Not defined (parallel to y-axis)
As per property of a parallelogram,
"Opposite sides of a parallelogram are parallel and equal in measure"
Therefore, ABCD is a parallelogram.
Answer C. base side length = 30.6 cm, height = 27.3 cm