A = l × w. Substitute 72 into A and fill in the rest of the equation.
w = l - 1. Plug l - 1 into w
72 = l × (l - 1). Multiply l by (l - 1)
72 = l^2 - l. Subtract 72 from each side.
0 = l^2 - l - 72. Factor.
0 = (l + 8) (l - 9). Set each term equal to zero.
(l + 8) = 0. Subtract 8 from each side.
l = -8. Length cant be a negative number so let's try the other term.
(l - 9) = 0. Add 9 to each side.
l = 9. The length is 9.
Earlier we stated that the width is one less than the length, therefore, the width is 9 - 1 = 8.
The width is 8 units.
Answer:
Equation of line: y=3x-18
Step-by-step explanation:
Point: (4,-6) and slope = 3
y=3x-18
Given the equation 2y = 5x - 3:
A way to find out which of the ordered pair options lie on the line is to substitute their coordinates into the equation.
A) (2, 5)
2y = 5x - 3
2(5) = 5(2) - 3
10 = 10 - 3
10 = 7 (False statement). this means that (2, 5) is not a solution to the given equation.
B) (6, 3)
2y = 5x - 3
2(3) = 5(6) - 3
6 = 30 - 3
6 = 27 (False statement). this means that (6, 3) is not a solution to the given equation.
C) (3, -6)
2y = 5x - 3
2(-6) = 5(3) - 3
-12 = 15 - 3
-12 = 12 (False statement). this means that (3, -6) is not a solution to the given equation.
D) (3, 6)
2y = 5x - 3
2(6) = 5(3) -3
12 = 15 - 3
12 = 12 (True statement). This means that (3, 6) IS a solution to the given equation.
E) (2, -5)
2y = 5x - 3
2(-5) = 5(2) - 3
-10 = 10 - 3
-10 = 7 (False statement). this means that (2, -5) is not a solution to the given equation.
Therefore, the correct answer is Option D: (3, 6).
The unit rate with the turtle crawling is 6/23 mile per hour.
According to the statement
we have given that the every 1/3 of an hour that the turtle is crawling, he can travel 2/23 of a mile. and
we have to find the unit rate with the turtle crawling
So, For this purpose,
we know that the
The unit rate of speed in miles per hour the number of miles in one hour.
So, to find the unit rate:
Divide distance in miles with the time which is in hours.
So,
unit rate of speed = distance / time
unit rate of speed = (2/23) / (1/3)
unit rate of speed = 6/23 mile per hour.
So, The unit rate with the turtle crawling is 6/23 mile per hour.
Learn more about unit rate here
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Answer:
See below in bold.
Step-by-step explanation:
The triangular piece of cloth is a right triangle because 41^2 = 40^2 + 9^2 (By the Pythagoras theorem).
So the area of one piece = 1/2 * 9 * 40 cm^2.
The total amount of cloth required for one umbrella = 10 * 1/2 * 9 * 40
= 1800 cm^2.
The total cost = 1800 * 0.25 = Rs 450.
